public void FindShortestPathForSimpleUndirectedGraphUsingDijkstraAlgorithm()
{
var graph = new UndirectedGraph<object, Edge<object>>(true);
object v1 = "vertex1";
object v2 = "vertex2";
object v3 = "vertex3";
var e1 = new Edge<object>(v1, v2);
var e2 = new Edge<object>(v2, v3);
var e3 = new Edge<object>(v3, v1);
graph.AddVertex(v1);
graph.AddVertex(v2);
graph.AddVertex(v3);
graph.AddEdge(e1);
graph.AddEdge(e2);
graph.AddEdge(e3);
var algorithm = new UndirectedDijkstraShortestPathAlgorithm<object, Edge<object>>(graph, edge => (double)1);
var observer = new UndirectedVertexPredecessorRecorderObserver<object, Edge<object>>();
using (observer.Attach(algorithm))
{
algorithm.Compute(v1);
}
IEnumerable<Edge<object>> path;
observer.TryGetPath(v3, out path);
foreach (var edge in path)
{
Console.WriteLine(edge);
}
}
static void Main(string[] args)
{
UndirectedGraph<int, Edge<int>> graph = new UndirectedGraph<int, Edge<int>>(true);
// Add vertices to the graph
graph.AddVertex(0);
graph.AddVertex(1);
graph.AddVertex(2);
graph.AddVertex(3);
graph.AddVertex(4);
graph.AddVertex(5);
// Create the edges
Edge<int> e0_1 = new Edge<int>(0, 1);
Edge<int> e0_2 = new Edge<int>(0, 2);
Edge<int> e1_2 = new Edge<int>(1, 2);
Edge<int> e3_4 = new Edge<int>(3, 4);
Edge<int> e4_5 = new Edge<int>(4, 5);
Edge<int> e3_5 = new Edge<int>(3, 5);
// Add the edges
graph.AddEdge(e0_1);
graph.AddEdge(e0_2);
graph.AddEdge(e1_2);
graph.AddEdge(e3_4);
graph.AddEdge(e4_5);
graph.AddEdge(e3_5);
List<int> path = new List<int>();
HamiltonianDefiner definer = new HamiltonianDefiner(graph);
bool isHamiltonian = definer.isHamiltonianGraph(path);
Console.WriteLine(isHamiltonian);
Console.ReadLine();
}
public void test3()
{
UndirectedGraph<int, Edge<int>> graph = new UndirectedGraph<int, Edge<int>>(true);
// Add vertices to the graph
graph.AddVertex(0);
graph.AddVertex(1);
graph.AddVertex(2);
graph.AddVertex(3);
graph.AddVertex(4);
// Create the edges
Edge<int> e0_1 = new Edge<int>(0, 1);
Edge<int> e0_2 = new Edge<int>(0, 2);
Edge<int> e1_4 = new Edge<int>(1, 4);
Edge<int> e3_4 = new Edge<int>(3, 4);
Edge<int> e0_3 = new Edge<int>(0, 3);
Edge<int> e1_2 = new Edge<int>(1, 2);
// Add the edges
graph.AddEdge(e0_1);
graph.AddEdge(e0_2);
graph.AddEdge(e1_2);
graph.AddEdge(e1_4);
graph.AddEdge(e3_4);
graph.AddEdge(e0_3);
List<int> path = new List<int>();
HamiltonianDefiner definer = new HamiltonianDefiner(graph);
bool isHamiltonian = definer.isHamiltonianGraph(path);
Assert.AreEqual(isHamiltonian, true);
}
private UndirectedGraph<int, UndirectedEdge<int>> constructGraph(Tuple<int, int>[] vertices)
{
var g = new UndirectedGraph<int, UndirectedEdge<int>>();
foreach (var pair in vertices)
{
g.AddVerticesAndEdge(new UndirectedEdge<int>(pair.Item1, pair.Item2));
}
return g;
}
private UndirectedGraph<int, TaggedUndirectedEdge<int, double>> createGraph(List<TaggedUndirectedEdge<int, double>> edges)
{
var g = new UndirectedGraph<int, TaggedUndirectedEdge<int, double>>(true);
foreach (TaggedUndirectedEdge<int, double> edge in edges)
{
g.AddVerticesAndEdge(edge);
}
return g;
}
// effects: Given a list of cells, segments them into multiple
// "groups" such that view generation (including validation) of one
// group can be done independently of another group. Returns the
// groups as a list (uses the foreign key information as well)
internal List<CellGroup> GroupRelatedCells()
{
// If two cells share the same C or S, we place them in the same group
// For each cell, determine the Cis and Sis that it refers
// to. For every Ci (Si), keep track of the cells that Ci is
// contained in. At the end, run through the Cis and Sis and do a
// "connected components" algorithm to determine partitions
var extentGraph = new UndirectedGraph<EntitySetBase>(EqualityComparer<EntitySetBase>.Default);
var extentToCell = new Dictionary<EntitySetBase, Set<Cell>>(EqualityComparer<EntitySetBase>.Default);
foreach (var cell in m_cells)
{
foreach (var extent in new[] { cell.CQuery.Extent, cell.SQuery.Extent })
{
Set<Cell> cellsWithExtent;
if (!extentToCell.TryGetValue(extent, out cellsWithExtent))
{
extentToCell[extent] = cellsWithExtent = new Set<Cell>();
}
cellsWithExtent.Add(cell);
extentGraph.AddVertex(extent);
}
extentGraph.AddEdge(cell.CQuery.Extent, cell.SQuery.Extent);
var associationSetExtent = cell.CQuery.Extent as AssociationSet;
if (associationSetExtent != null)
{
foreach (var end in associationSetExtent.AssociationSetEnds)
{
extentGraph.AddEdge(end.EntitySet, associationSetExtent);
}
}
}
foreach (var fk in m_foreignKeyConstraints)
{
extentGraph.AddEdge(fk.ChildTable, fk.ParentTable);
}
var groupMap = extentGraph.GenerateConnectedComponents();
var result = new List<CellGroup>();
foreach (var setNum in groupMap.Keys)
{
var cellSets = groupMap.ListForKey(setNum).Select(e => extentToCell[e]);
var component = new CellGroup();
foreach (var cellSet in cellSets)
{
component.AddRange(cellSet);
}
result.Add(component);
}
return result;
}
public static Pixel GetOrAddVertex(int x, int y, UndirectedGraph<Pixel, TaggedUndirectedEdge<Pixel, EdgeTag>> graph)
{
Pixel p = VertexSearch(x, y, graph);
if (p == null)
{
p = new Pixel(x, y, Color.Blue);
graph.AddVertex(p);
}
return p;
}
public void AddEdge_Test()
{
var ug = new UndirectedGraph(10);
ug.AddEdge(4, 0);
ug.AddEdge(4, 3);
ug.AddEdge(4, 7);
Assert.AreEqual(3, ug.E);
}
public static IEnumerable<UndirectedGraph<string, Edge<string>>> GetUndirectedGraphs()
{
yield return new UndirectedGraph<string, Edge<string>>();
foreach (var g in GetAdjacencyGraphs())
{
var ug = new UndirectedGraph<string, Edge<string>>();
ug.AddVerticesAndEdgeRange(g.Edges);
yield return ug;
}
}
public void RemoveEdgeThrowsKeyNotFoundException79()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
Edge<int> edge;
bool b;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
edge = EdgeFactory.Create(0, 0);
b = this.RemoveEdge<int, Edge<int>>(undirectedGraph, edge);
}
public static UndirectedGraph<int, SEdge<int>> Create(bool allowParallelEdges)
{
UndirectedGraph<int, SEdge<int>> undirectedGraph
= new UndirectedGraph<int, SEdge<int>>(allowParallelEdges);
return undirectedGraph;
// TODO: Edit factory method of UndirectedGraph`2<Int32,SEdge`1<Int32>>
// This method should be able to configure the object in all possible ways.
// Add as many parameters as needed,
// and assign their values to each field by using the API.
}
private UndirectedGraph<int, UndirectedEdge<int>> BuildGraph(int[] verticies, int[] edges)
{
var graph = new UndirectedGraph<int, UndirectedEdge<int>>();
graph.AddVertexRange(verticies);
var convEdges = new UndirectedEdge<int>[edges.Length / 2];
for (int i = 0; i < edges.Length; i += 2)
{
convEdges[i / 2] = new UndirectedEdge<int>(edges[i], edges[i + 1]);
}
graph.AddEdgeRange(convEdges);
return graph;
}
private int CalcBicliqueCount(int[] verticies, int[] edges)
{
var g = new UndirectedGraph<int, IEdge<int>>();
g.AddVertexRange(verticies);
var convEdges = new Edge<int>[edges.Length / 2];
for (int i = 0; i < edges.Length; i += 2)
{
convEdges[i / 2] = new Edge<int>(edges[i], edges[i + 1]);
}
g.AddEdgeRange(convEdges);
var algo = new BipartiteDimensionAlgorithm(g);
algo.Compute();
return algo.BipartiteDimensionValue;
}
public void IsEdgesEmptyGet211()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
this.IsEdgesEmptyGet<int, Edge<int>>(undirectedGraph);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCount);
}
public static Pixel VertexSearch(int x, int y, UndirectedGraph<Pixel, TaggedUndirectedEdge<Pixel, EdgeTag>> graph)
{
return graph.Vertices.SingleOrDefault(o => o.y == y && o.x == x);
/*
foreach (var v in graph.Vertices)
{
//if (v.ToString() == Convert.ToString(x) + "-" + Convert.ToString(y))
if(v.x == x && v.y == y)
return v;
}
return null;
*/
}
private List<List<int>> InducedPaths(int[] verticies, int[] edges)
{
var graph = new UndirectedGraph<int, IEdge<int>>();
graph.AddVertexRange(verticies);
var graphEdges = new Edge<int>[edges.Length / 2];
for (int i = 0; i < edges.Length; i += 2)
{
graphEdges[i / 2] = new Edge<int>(edges[i], edges[i + 1]);
}
graph.AddEdgeRange(graphEdges);
return InducedPathAlgorithm.findInducedPaths(graph);
}
public void ContainsVertex913()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
bool b;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
b = this.ContainsVertex<int, Edge<int>>(undirectedGraph, 0);
Assert.AreEqual<bool>(false, b);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCount);
}
public void AddVertex24()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
bool b;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = int.MinValue;
b = this.AddVertex<int, Edge<int>>(undirectedGraph, 0);
Assert.AreEqual<bool>(true, b);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(int.MinValue, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCount);
}
// effects: Given a list of cells, segments them into multiple
// "groups" such that view generation (including validation) of one
// group can be done independently of another group. Returns the
// groups as a list (uses the foreign key information as well)
internal List<CellGroup> GroupRelatedCells()
{
// If two cells share the same C or S, we place them in the same group
// For each cell, determine the Cis and Sis that it refers
// to. For every Ci (Si), keep track of the cells that Ci is
// contained in. At the end, run through the Cis and Sis and do a
// "connected components" algorithm to determine partitions
// Now form a graph between different cells -- then compute the connected
// components in it
var graph = new UndirectedGraph<Cell>(EqualityComparer<Cell>.Default);
var alreadyAddedCells = new List<Cell>();
// For each extent, add an edge between it and all previously
// added extents with which it overlaps
foreach (var cell in m_cells)
{
graph.AddVertex(cell);
// Add an edge from this cell to the already added cells
var firstCExtent = cell.CQuery.Extent;
var firstSExtent = cell.SQuery.Extent;
foreach (var existingCell in alreadyAddedCells)
{
var secondCExtent = existingCell.CQuery.Extent;
var secondSExtent = existingCell.SQuery.Extent;
// Add an edge between cell and existingCell if
// * They have the same C or S extent
// * They are linked via a foreign key between the S extents
// * They are linked via a relationship
var sameExtent = secondCExtent.Equals(firstCExtent) || secondSExtent.Equals(firstSExtent);
var linkViaForeignKey = OverlapViaForeignKeys(cell, existingCell);
var linkViaRelationship = AreCellsConnectedViaRelationship(cell, existingCell);
if (sameExtent || linkViaForeignKey || linkViaRelationship)
{
graph.AddEdge(existingCell, cell);
}
}
alreadyAddedCells.Add(cell);
}
// Now determine the connected components of this graph
var result = GenerateConnectedComponents(graph);
return result;
}
public void ShouldAddNodes(string inodes)
{
//Arrange
var expectedNodes =
inodes.Split(nodeSeparator, StringSplitOptions.RemoveEmptyEntries)
.Select(char.Parse)
.OrderBy(x => x)
.ToList();
AbstractGraph<char, int> sut = new UndirectedGraph<char, int>();
//Act
expectedNodes.ForEach(x => sut.AddNode(x));
var actual = sut.GetNodes().OrderBy(x => x);
//Assert
Assert.AreEqual(expectedNodes, actual);
}
public void RemoveVertexIf682()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
int i;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
i = this.RemoveVertexIf<int, Edge<int>>
(undirectedGraph, (VertexPredicate<int>)null);
Assert.AreEqual<int>(0, i);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCount);
}
public void AddVertexRange796()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
int i;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
int[] ints = new int[2];
i = this.AddVertexRange<int, Edge<int>>(undirectedGraph, (IEnumerable<int>)ints);
Assert.AreEqual<int>(1, i);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCount);
}
private UndirectedGraph<int, int> GetGraph(int noOfNodes, int maxNoOfEdges)
{
var startTime = DateTime.UtcNow;
var graph = new UndirectedGraph<int, int>();
var e = 0;
for (int n = 1; n <= noOfNodes && e<= maxNoOfEdges; n++)
{
for (int i = n + 1; i <= noOfNodes && e <= maxNoOfEdges; i++, e++)
{
graph.AddEdge(n, i, 1);
}
}
var endTime = DateTime.UtcNow;
System.Diagnostics.Trace.WriteLine(String.Format("Completed graph construction in {0}",endTime. Subtract(startTime).TotalMilliseconds));
return graph;
}
public static void Main()
{
var graph = new UndirectedGraph<int, Edge<int>>();
graph.AddVertex(1);
graph.AddVertex(2);
graph.AddVertex(3);
graph.AddVertex(4);
graph.AddEdge(new Edge<int>(1, 2));
graph.AddEdge(new Edge<int>(3, 4));
graph.AddEdge(new Edge<int>(1, 4));
foreach (var edge in graph.Edges)
{
Console.WriteLine(edge.Source + " " + edge.Target);
}
}
public void RemoveEdges327()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
int i;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
Edge<int>[] edges = new Edge<int>[0];
i = this.RemoveEdges<int, Edge<int>>
(undirectedGraph, (IEnumerable<Edge<int>>)edges);
Assert.AreEqual<int>(0, i);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(0, undirectedGraph.EdgeCount);
}
public void AddVerticesAndEdge242()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
Edge<int> edge;
bool b;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = int.MinValue;
edge = EdgeFactory.Create(834, 584);
b = this.AddVerticesAndEdge<int, Edge<int>>(undirectedGraph, edge);
Assert.AreEqual<bool>(true, b);
Assert.IsNotNull((object)undirectedGraph);
Assert.IsNull(undirectedGraph.EdgeEqualityComparer);
Assert.AreEqual<int>(int.MinValue, undirectedGraph.EdgeCapacity);
Assert.AreEqual<bool>(false, undirectedGraph.IsDirected);
Assert.AreEqual<bool>(false, undirectedGraph.AllowParallelEdges);
Assert.AreEqual<int>(1, undirectedGraph.EdgeCount);
}
public void TestAddEdge(object v1, object v2, int weight)
{
List <object> cities = new List <object>()
{
"Seattle",
"LA",
"Denver"
};
//Set up the graph
UndirectedGraph g = new UndirectedGraph(cities);
//Add edge
g.AddEdge(v1, v2, weight);
//Assert success - that v1 is in the adjacency list of v2 and vice versa
Dictionary <string, int> v1Neighbors = g.GetNeighbors(v1);
Dictionary <string, int> v2Neighbors = g.GetNeighbors(v2);
Assert.True(v1Neighbors.ContainsValue(weight) && v2Neighbors.ContainsValue(weight));
}
public void ThreeVerticeGraphHasOneEdgeEulerianTrail()
{
var sut = new FleurysAlgorithm();
var graph = new UndirectedGraph(3);
graph.Connect(0, 1);
graph.Connect(1, 2);
Assert.Collection(sut.GetEulerianTrail(graph), arg =>
{
Assert.Equal(2, arg.Item1);
Assert.Equal(1, arg.Item2);
},
arg =>
{
Assert.Equal(1, arg.Item1);
Assert.Equal(0, arg.Item2);
});
}
public IsHamiltonianGraphAlgorithm(UndirectedGraph <TVertex, UndirectedEdge <TVertex> > graph)
{
// Create new graph without parallel edges
var newGraph = new UndirectedGraph <TVertex, UndirectedEdge <TVertex> >(false, graph.EdgeEqualityComparer);
foreach (var vertex in graph.Vertices)
{
newGraph.AddVertex(vertex);
}
foreach (var edge in graph.Edges)
{
newGraph.AddEdge(edge);
}
//Remove loops
EdgePredicate <TVertex, UndirectedEdge <TVertex> > isLoop = e => e.Source.Equals(e.Target);
newGraph.RemoveEdgeIf(isLoop);
this.graph = newGraph;
}
// Tested
public static bool DFSSearch(int source, int destination, UndirectedGraph <int, Edge <int> > g, out List <Edge <int> > path)
{
var visited = new Dictionary <int, bool>();
foreach (var vertex in g.Vertices)
{
visited.Add(vertex, false);
}
var pathStack = new Stack <Edge <int> >();
bool pathFound = DFSSearchRecurse(source, destination, visited, g, pathStack);
path = new List <Edge <int> >();
while (pathStack.Count != 0)
{
path.Add(pathStack.Pop());
}
return(pathFound);
}
private static void Bk(int[][] adjacencies, int[][] cliques)
{
var adjacencies2 = adjacencies.Select(neighbours => neighbours.Select(i => Vertex.Nth(i)).ToHashSet())
.ToImmutableArray();
var cliques2 = cliques.Select(clique => clique.Select(i => Vertex.Nth(i)).ToArray()).ToArray();
var graph = new UndirectedGraph(adjacencies2);
foreach (var funcIndex in Enumerable.Range(0, Portfolio.FuncNames.Length))
{
var reporter = new SimpleReporter();
Portfolio.Explore(funcIndex, graph, reporter);
Assert.AreEqual(cliques2.Length, reporter.Cliques.Count);
Portfolio.SortCliques(reporter.Cliques);
foreach ((var reportedClique, var i) in reporter.Cliques.Select((v, i) => (v, i)))
{
Assert.That(reportedClique.SequenceEqual(cliques2[i]));
}
}
}
// Testgraph 5 with missing edge between 2 and 5
public static UndirectedGraph <int, Edge <int> > TestGraph10()
{
var g = new UndirectedGraph <int, Edge <int> >();
g.AddVertexRange(new int[] { 0, 1, 2, 3, 4, 5 });
var edges = new List <Edge <int> >
{
new Edge <int>(0, 1),
new Edge <int>(0, 2),
new Edge <int>(1, 3),
new Edge <int>(2, 3),
new Edge <int>(3, 4),
new Edge <int>(4, 5),
};
g.AddEdgeRange(edges);
return(g);
}
public static List <UndirectedGraph <int, IEdge <int> > > Convert(string filepath)
{
StreamReader file = new StreamReader(filepath);
List <UndirectedGraph <int, IEdge <int> > > graphs = new List <UndirectedGraph <int, IEdge <int> > >();
UndirectedGraph <int, IEdge <int> > currGraph = null;// = new UndirectedGraph<int, IEdge<int>>();
string line = file.ReadLine();
while (line != null)
{
if (string.IsNullOrWhiteSpace(line))
{
line = file.ReadLine();
continue;
}
if (line.StartsWith("Graph"))
{
if (!(currGraph is null))
{
graphs.Add(currGraph);
}
currGraph = new UndirectedGraph <int, IEdge <int> >(false);
}
else if (line.StartsWith(" "))
{
string[] verts = line.Split(' ', ':', ';').Where(s => !string.IsNullOrEmpty(s)).ToArray();
int[] vertices = verts.Select(s => int.Parse(s)).ToArray();
currGraph.AddVertex(vertices[0]);
for (int i = 1; i < vertices.Length; i++)
{
currGraph.AddVerticesAndEdge(new Edge <int>(vertices[0], vertices[i]));
}
}
line = file.ReadLine();
}
if (!(currGraph is null))
{
graphs.Add(currGraph);
}
return(graphs);
}
private (IGraph, Dictionary <string, int>) Load(string filePath, bool withAnonymization)
{
var graph = new UndirectedGraph();
var adjacencyList = ProcessRawData(filePath);
var anonymizedNodePairMap = GetMapOfAnonymizedNodes(adjacencyList, withAnonymization);
foreach (var nodePair in adjacencyList)
{
var nodeX = anonymizedNodePairMap[nodePair.Item1];
var nodeY = anonymizedNodePairMap[nodePair.Item2];
graph.AddBidirectionEdge(nodeX, nodeY);
}
return(graph, anonymizedNodePairMap);
}
public void NoEdge_undirected_graph_components()
{
var nodes = new List <GraphNode <int> >()
{
new GraphNode <int>(0),
new GraphNode <int>(1),
new GraphNode <int>(2)
};
var edges = new List <UndirectedEdge <int> >();
var graph = new UndirectedGraph <int>(nodes, edges);
var componentAlgorithms = new GraphComponents <int>();
var connectedComponents = componentAlgorithms.DfsConnectedComponents(graph);
Assert.Equal(0, connectedComponents[nodes[0]]);
Assert.Equal(1, connectedComponents[nodes[1]]);
Assert.Equal(2, connectedComponents[nodes[2]]);
}
public DepthFirstCycle(UndirectedGraph graph)
{
if (graph == null || graph.Vertices == 0)
{
throw new ArgumentException();
}
_graph = graph;
_marked = new bool[graph.Vertices];
_hasCycle = false;
for (var i = 0; i < graph.Vertices; i++)
{
if (!_marked[i])
{
Search(i, i);
}
}
}
public void TestGetNeighbors(int weight1, int weight2)
{
List <object> cities = new List <object>()
{
"Seattle",
"LA",
"Denver"
};
//Set up the graph
UndirectedGraph g = new UndirectedGraph(cities);
//Add edge
g.AddEdge(cities[0], cities[1], weight1);
g.AddEdge(cities[2], cities[0], weight2);
Dictionary <string, int> seattleNeighbors = g.GetNeighbors("Seattle");
Assert.True(seattleNeighbors.ContainsValue(weight1) && seattleNeighbors.ContainsValue(weight2));
}
private int Dfs(UndirectedGraph graph, int vertex, HashSet <int> visited, ref int count)
{
if (visited.Contains(vertex))
{
return(count);
}
visited.Add(vertex);
count += 1;
foreach (int neighbor in graph.AdjList[vertex])
{
Dfs(graph, neighbor, visited, ref count);
}
visited.Remove(vertex);
return(count);
}
/// <summary>
/// verify graph connectivity for synchronously process
/// </summary>
/// <param name="n"></param>
/// <param name="hashHeap"></param>
/// <param name="hashToGraph"></param>
private void SubGraphs(UndirectedGraph <IHash, Edge <IHash> > n, BinaryHeap <int, IHash> hashHeap, Dictionary <IHash, UndirectedGraph <IHash, Edge <IHash> > > hashToGraph)
{
// Bipartite Graph check
Dictionary <IHash, int> colorDictionary = new Dictionary <IHash, int>();
foreach (var hash in n.Vertices)
{
if (colorDictionary.Keys.Contains(hash))
{
continue;
}
UndirectedGraph <IHash, Edge <IHash> > subGraph = new UndirectedGraph <IHash, Edge <IHash> >();
// hash with most dependencies in the graph
IHash maxHash = hash;
bool isBipartite = DfsSearch(n, subGraph, ref maxHash, colorDictionary);
if (isBipartite)
{
//TODO : if bipartite, parallel process for tasks in both sets asynchronously;
/*foreach (var h in subGraph.Vertices)
* {
* if (colorDictionary[h]==1)
* {
* Console.Write("white:" + (char)h.GetHashBytes()[0]+" ");
* }
* if (colorDictionary[h]==-1)
* {
* Console.Write("black:" + (char)h.GetHashBytes()[0]+" ");
* }
*
* }*/
continue;
}
//if not Bipartite, add maxhash to heap and hashToGraph Dictionary
hashHeap.Add(subGraph.AdjacentDegree(maxHash), maxHash);
hashToGraph[maxHash] = subGraph;
}
}
private static UndirectedGraph <int, Edge <int> > GetGraph1()
{
var g = new UndirectedGraph <int, Edge <int> >();
g.AddVertexRange(new List <int> {
0, 1, 2, 3, 4, 5
});
g.AddEdgeRange(new List <Edge <int> >
{
new Edge <int>(0, 1),
new Edge <int>(0, 4),
new Edge <int>(1, 2),
new Edge <int>(1, 4),
new Edge <int>(2, 3),
new Edge <int>(2, 5),
new Edge <int>(4, 5),
});
return(g);
}
/// <summary>
/// Initializes a new instance of the <see cref="IsHamiltonianGraphAlgorithm{TVertex,TEdge}"/> class.
/// </summary>
/// <param name="graph">Graph to check.</param>
public IsHamiltonianGraphAlgorithm(IUndirectedGraph <TVertex, TEdge> graph)
{
if (graph is null)
{
throw new ArgumentNullException(nameof(graph));
}
// Create new graph without parallel edges
var newGraph = new UndirectedGraph <TVertex, TEdge>(
false,
graph.EdgeEqualityComparer);
newGraph.AddVertexRange(graph.Vertices);
newGraph.AddEdgeRange(graph.Edges);
newGraph.RemoveEdgeIf(edge => edge.IsSelfEdge());
_graph = newGraph;
_threshold = newGraph.VertexCount / 2.0;
}
public void GraphConstructionFromAdjMatrixTest2()
{
var adjMat = new AdjacencyMatrix(new[, ]
{
{ false, true, false, true, true, false, false, false, false },
{ true, false, true, true, true, true, false, false, false },
{ false, true, false, false, true, true, false, false, false },
{ true, true, false, false, true, false, true, true, false },
{ true, true, true, true, false, true, true, true, true },
{ false, true, true, false, true, false, false, true, true },
{ false, false, false, true, true, false, false, true, false },
{ false, false, false, true, true, true, true, false, true },
{ false, false, false, false, true, true, false, true, false }
});
var graph = new UndirectedGraph(adjMat);
Assert.AreEqual(20, graph.EdgesCount);
}
public void RemoveEdges_Throws()
{
int verticesRemoved = 0;
int edgesRemoved = 0;
var graph = new UndirectedGraph <int, Edge <int> >();
graph.VertexRemoved += v =>
{
Assert.IsNotNull(v);
++verticesRemoved;
};
graph.EdgeRemoved += e =>
{
Assert.IsNotNull(e);
++edgesRemoved;
};
var edge = new Edge <int>(1, 2);
graph.AddVerticesAndEdge(edge);
// ReSharper disable once AssignNullToNotNullAttribute
Assert.Throws <ArgumentNullException>(() => graph.RemoveEdges(null));
AssertHasEdges(graph, new[] { edge });
CheckCounters();
Assert.Throws <ArgumentNullException>(() => graph.RemoveEdges(new[] { edge, null }));
Assert.AreEqual(0, edgesRemoved);
AssertHasEdges(graph, new[] { edge });
CheckCounters();
#region Local function
void CheckCounters()
{
Assert.AreEqual(0, verticesRemoved);
Assert.AreEqual(0, edgesRemoved);
}
#endregion
}
// Dumb n^4 four-cycle finder
public static List <int> FindFourCycle1(UndirectedGraph <int, Edge <int> > graph)
{
foreach (var v in graph.Vertices)
{
var vAdj = graph.AdjacentEdges(v).ToList();
for (int i = 0; i < vAdj.Count; i++)
{
for (int j = 0; j < vAdj.Count; j++)
{
if (i == j)
{
continue;
}
var vi = vAdj[i].Source == v ? vAdj[i].Target : vAdj[i].Source;
var vj = vAdj[j].Source == v ? vAdj[j].Target : vAdj[j].Source;
Edge <int> connectingEdge;
graph.TryGetEdge(vi, vj, out connectingEdge);
if (connectingEdge == null)
{
graph.TryGetEdge(vj, vi, out connectingEdge);
}
if (connectingEdge != null) //three cycle
{
continue;
}
var viAdj = new HashSet <int>(graph.AdjacentEdges(vi).Select(e => e.GetOtherVertex(vi)));
var vjAdj = new HashSet <int>(graph.AdjacentEdges(vj).Select(e => e.GetOtherVertex(vj)));
var common = new HashSet <int>(viAdj.Intersect(vjAdj));
common.Remove(v);
if (common.Count > 0)
{
return new List <int> {
v, vi, vj, common.First()
}
}
;
}
}
}
return(null);
}
public void Constructor_Throws()
{
// ReSharper disable ObjectCreationAsStatement
// ReSharper disable AssignNullToNotNullAttribute
var graph = new UndirectedGraph <int, Edge <int> >();
var verticesColors = new Dictionary <int, GraphColor>();
var queue = new BinaryQueue <int, double>(_ => 1.0);
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, queue, verticesColors));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(graph, null, verticesColors));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(graph, queue, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, null, verticesColors));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, queue, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(graph, null, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, null, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, null, queue, verticesColors));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, graph, null, verticesColors));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, graph, queue, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, null, null, verticesColors));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, null, queue, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, graph, null, null));
Assert.Throws <ArgumentNullException>(
() => new UndirectedBreadthFirstSearchAlgorithm <int, Edge <int> >(null, null, null, null));
// ReSharper restore AssignNullToNotNullAttribute
// ReSharper restore ObjectCreationAsStatement
}
public String ToNewEdges(UndirectedGraph <Pixel, TaggedUndirectedEdge <Pixel, EdgeTag> > g, string fileName = "image.svg")
{
svg = new SVGDocument(Width * scale + 1, Height * scale + 1);
foreach (var e in g.Edges)
{
if ((e.Tag.Visible))
{
svg.DrawLine(Color.Black, 0.800,
e.Source.x * scale + scale / 2,
e.Source.y * scale + scale / 2,
e.Target.x * scale + scale / 2,
e.Target.y * scale + scale / 2);
}
}
//Retorna o nome do arquivo salvo
svg.Save(fileName);
return(fileName);
}
// Generates a new undirected graph using an adjacency matrix.
public UndirectedGraph <int> GenerateUndirectedGraph(int size, float probability)
{
UndirectedGraph <int> graph = new UndirectedGraph <int>(size);
System.Random rPos = new System.Random();
int[,] adjMat = GenerateAdjacencyMatrix(size, probability);
for (int x = 0; x < size; x++)
{
if (x == 0)
{
graph.AddNode(new EntryNode(x, Vector3.zero));
}
else if (x == size - 2)
{
graph.AddNode(new BossRoom(x, new Vector3(rPos.Next(x - 3, x + 3) * scale, 0, rPos.Next(x - 3, x + 3) * scale)));
}
else if (x == size - 1)
{
graph.AddNode(new ExitNode(x, new Vector3(rPos.Next(x - 3, x + 3) * scale, 0, rPos.Next(x - 3, x + 3) * scale)));
}
else
{
graph.AddNode(new RoomNode(x, new Vector3(rPos.Next(x - 3, x + 3) * scale, 0, rPos.Next(x - 3, x + 3) * scale)));
}
}
for (int x = 0; x < size; x++)
{
for (int y = 0; y < size; y++)
{
// int difference = Mathf.Abs(y) + x;
if (adjMat[x, y] == 1 && !graph.Nodes[x].Neighbours.Contains(graph.Nodes[y]))
{
graph.Nodes[x].AddEdge(graph.Nodes[y]);
}
}
}
return(graph);
}
public static Tuple <Player, int> GetLongestRoad(this GameState gameState)
{
var playerWithLongestRoad = new Tuple <Player, int>(null, 0);
foreach (Player player in gameState.Players)
{
var playerOwnedEdges = gameState.AdjacencyGraph.Edges.Where(edge => edge.PlayerOwner == player);
var playerGraph = new UndirectedGraph <BoardVertex, BoardEdge>();
playerGraph.AddVerticesAndEdgeRange(playerOwnedEdges);
// Might need this for efficiency
// var endpoints = playerGraph.Edges.Where(potentialEndpoint =>
// {
// var sourceDegree = playerGraph.AdjacentDegree(potentialEndpoint.Source);
// var targetDegree = playerGraph.AdjacentDegree(potentialEndpoint.Target);
// return sourceDegree == 1 || targetDegree == 1;
// });
// var edgesToCheck = endpoints.Count() > 0 ? endpoints : playerGraph.Edges;
var longestPath = 0;
foreach (BoardEdge edge in playerGraph.Edges)
{
var longestPathFromEndpoint = playerGraph.LongestPathDepthFirstSearch(player, edge);
if (longestPath < longestPathFromEndpoint)
{
longestPath = longestPathFromEndpoint;
}
}
if (longestPath >= 5 && (playerWithLongestRoad.Item1 == null || playerWithLongestRoad.Item2 < longestPath))
{
playerWithLongestRoad = Tuple.Create(player, longestPath);
}
}
return(playerWithLongestRoad);
}
// weird subset of testgraph14 with added edges, where findcycle2 finds cycle and 3 does not
public static UndirectedGraph <int, Edge <int> > TestGraph15()
{
var g = new UndirectedGraph <int, Edge <int> >();
g.AddVertexRange(new int[] { 22, 39, 95, 48, 73, 29, 65, 3, 68, 25, 30, 89, 85, 67, 18, 94, 72, 66, 62, 81, 20 });
var edges = new List <Edge <int> >
{
new Edge <int>(3, 22),
new Edge <int>(73, 22),
new Edge <int>(39, 29),
new Edge <int>(39, 20),
new Edge <int>(95, 85),
new Edge <int>(30, 95),
new Edge <int>(48, 66),
new Edge <int>(48, 62),
new Edge <int>(18, 48),
new Edge <int>(3, 73),
new Edge <int>(73, 62),
new Edge <int>(89, 73),
new Edge <int>(29, 85),
new Edge <int>(94, 65),
new Edge <int>(89, 65),
new Edge <int>(65, 68),
new Edge <int>(65, 3),
new Edge <int>(68, 72),
new Edge <int>(25, 66),
new Edge <int>(18, 25),
new Edge <int>(89, 25),
new Edge <int>(81, 30),
new Edge <int>(89, 94),
new Edge <int>(72, 67),
new Edge <int>(67, 20),
new Edge <int>(18, 66),
new Edge <int>(66, 62),
new Edge <int>(81, 20)
};
g.AddEdgeRange(edges);
return(g);
}
public static Tuple <int, HashSet <Edge <int> > > FindK(UndirectedGraph <int, Edge <int> > graph, DateTime timeOfInit)
{
int ret = -1;
int k = -1;
HashSet <Edge <int> > retEdges = null;
while (ret == -1)
{
k++;
var time1 = DateTime.Now;
var clone = CloneGraph(graph);
Console.WriteLine(k);
var tup = FasterInner(clone, k, k * 2, new HashSet <int>(), null, null, new HashSet <Edge <int> >());
ret = tup.Item1;
retEdges = tup.Item2;
Console.WriteLine($"Took {(DateTime.Now - time1):c}");
Console.WriteLine($"Cumulated {(DateTime.Now - timeOfInit):c}");
}
return(new Tuple <int, HashSet <Edge <int> > >(k - ret, retEdges));
}
public DepthFirstBipartite(UndirectedGraph graph)
{
if (graph == null || graph.Vertices == 0)
{
throw new ArgumentException();
}
_graph = graph;
_marked = new bool[graph.Vertices];
_color = new bool[graph.Vertices];
_isTwoColorable = true;
for (int i = 0; i < graph.Vertices; i++)
{
if (!_marked[i])
{
Search(i);
}
}
}
public void AdjacentEdge_Throws()
{
var graph1 = new UndirectedGraph <int, Edge <int> >();
AdjacentEdge_Throws_Test(
graph1,
(vertexPredicate, edgePredicate) =>
new FilteredUndirectedGraph <int, Edge <int>, UndirectedGraph <int, Edge <int> > >(
graph1,
vertexPredicate,
edgePredicate));
var graph2 = new UndirectedGraph <TestVertex, Edge <TestVertex> >();
var filteredGraph2 = new FilteredUndirectedGraph <TestVertex, Edge <TestVertex>, UndirectedGraph <TestVertex, Edge <TestVertex> > >(
graph2,
_ => true,
_ => true);
AdjacentEdge_NullThrows_Test(filteredGraph2);
}
public void RemoveEdgeFromGraph_ShouldRemove()
{
var g = new UndirectedGraph <int, Edge <int> >();
var edges = GetGraph1().Edges;
g.AddVerticesAndEdgeRange(edges);
foreach (var edge in edges)
{
int originalGraphCount = g.EdgeCount;
bool edgeRemoved = EdmondsAlgorithm.RemoveEdgeFromGraph(g, edge, out UndirectedGraph <int, Edge <int> > smallerGraph);
g = smallerGraph;
Assert.IsTrue(edgeRemoved, "Edge was not removed");
int edgesCountDifference = originalGraphCount - smallerGraph.EdgeCount;
Assert.AreEqual(1, edgesCountDifference, $"Edges numbers are incorrect. " +
$"Expected <{originalGraphCount}>. Actual <{smallerGraph.EdgeCount}>");
}
}
public void Baseline()
{
var sut = new KargersAlgorithmForMinimumCut();
var graph = new UndirectedGraph(4);
graph.Connect(0, 1);
graph.Connect(0, 2);
graph.Connect(1, 3);
graph.Connect(1, 2);
graph.Connect(2, 3);
var minCut = int.MaxValue;
while (minCut > 2)
{
minCut = sut.MinCut(graph);
Assert.NotInRange(minCut, 0, 1);
}
}
public void AddEdgeTest()
{
string[] lines = File.ReadAllLines("MSTTestGraph.txt");
int n = int.Parse(lines[0].Split(' ')[0]);
int m = int.Parse(lines[0].Split(' ')[1]);
UndirectedGraph undirectedGraph = new UndirectedGraph(new MatrixRepresentation(n));
for (int i = 0; i < m; i++)
{
string[] tokens = lines[i + 1].Split(' ');
int from = int.Parse(tokens[0]);
int to = int.Parse(tokens[1]);
double cost = double.Parse(tokens[2]);
undirectedGraph.AddEdge(new Edge(from, to, cost));
}
if (undirectedGraph.Edges != m)
{
Assert.Fail();
}
}
public static void Main()
{
// ot Manage NuGet Packages- izpolzvame vanshna biblioteka;
// https://quickgraph.codeplex.com/documentation
var graph = new UndirectedGraph<int, Edge<int>>();
graph.AddVertex(1);
graph.AddVertex(2);
graph.AddVertex(3);
graph.AddVertex(4);
graph.AddEdge(new Edge<int>(1, 2));
graph.AddEdge(new Edge<int>(3, 4));
graph.AddEdge(new Edge<int>(1, 4));
foreach (var edge in graph.Edges)
{
Console.WriteLine(edge.Source + " " + edge.Target);
}
}
public void TestPathDoesNotExist()
{
List <object> nodes = new List <object>()
{
"Seattle",
"Denver",
"LA"
};
string[] cities = { "Seattle", "Denver", "LA" };
//Create graph
UndirectedGraph g = new UndirectedGraph(nodes);
g.AddEdge("Seattle", "Denver", 300);
g.AddEdge("Seattle", "LA", 200);
Tuple <bool, int> result = Program.GetEdge(g, cities);
Assert.True(result.Item1 == false && result.Item2 == 0);
}
public void ContainsEdgeTest1()
{
var u = new UndirectedGraph<int, IEdge<int>>();
var e12 = new SEquatableUndirectedEdge<int>(1, 2);
var f12 = new SEquatableUndirectedEdge<int>(1, 2);
bool exceptionOccurred = false;
try
{
new SEquatableUndirectedEdge<int>(2, 1);
}
catch (ArgumentException e)
{
exceptionOccurred = true;
}
Assert.IsTrue(exceptionOccurred);
u.AddVerticesAndEdge(e12);
ContainsEdgeAssertions(u, e12, f12, null, null);
}
public void ShouldAutomaticallyAddNodesWhenAddingEdges(string iedges, string iexpectedNodes)
{
//Arrange
var edges =
ParseEdges(iedges).OrderBy(x => x.SourceNode).ThenBy(x => x.DestinationNode).ThenBy(x => x.Weight);
var sut = new UndirectedGraph<char, int>();
var expectedNodes =
iexpectedNodes.Split(nodeSeparator, StringSplitOptions.RemoveEmptyEntries)
.Select(char.Parse)
.OrderBy(x => x);
//Act
foreach (var edge in edges)
{
sut.AddEdge(edge.SourceNode, edge.DestinationNode, edge.Weight);
}
var actual = sut.GetNodes().OrderBy(x => x);
//Assert
Assert.AreEqual(expectedNodes, actual.Select(x => x));
}
public void RemoveEdgesThrowsKeyNotFoundException545()
{
UndirectedGraph<int, Edge<int>> undirectedGraph;
Edge<int> edge;
int i;
undirectedGraph = new UndirectedGraph<int, Edge<int>>
(false, (EdgeEqualityComparer<int, Edge<int>>)null);
undirectedGraph.EdgeCapacity = 0;
edge = EdgeFactory.Create(0, 0);
Edge<int>[] edges = new Edge<int>[8];
edges[0] = edge;
edges[1] = edge;
edges[2] = edge;
edges[3] = edge;
edges[4] = edge;
edges[5] = edge;
edges[6] = edge;
edges[7] = edge;
i = this.RemoveEdges<int, Edge<int>>
(undirectedGraph, (IEnumerable<Edge<int>>)edges);
}