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);
}
public void CreateEmptyGraphAndAddVertices()
{
var graph = new UndirectedGraph();
Assert.AreEqual(0, graph.Vertices());
Assert.AreEqual(0, graph.Edges());
int vertex1id = graph.AddVertex();
int vertex2id = graph.AddVertex();
Assert.AreEqual(0, vertex1id);
Assert.AreEqual(1, vertex2id);
graph.AddEdge(0, 1);
Assert.AreEqual(2, graph.Vertices());
Assert.AreEqual(1, graph.Edges());
Assert.IsTrue(graph.AdjacentVertices(0).Contains(1));
Assert.IsTrue(graph.AdjacentVertices(1).Contains(0));
// add the same edge again
graph.AddEdge(0, 1);
Assert.AreEqual(2, graph.Vertices());
Assert.AreEqual(2, graph.Edges());
Assert.IsTrue(graph.AdjacentVertices(0).Contains(1));
Assert.IsTrue(graph.AdjacentVertices(1).Contains(0));
}
public void CloneTest()
{
var graph = new UndirectedGraph();
var newVertex1 = new Vertex("test-1");
var newVertex2 = new Vertex("test-2");
var newVertex3 = new Vertex("test-3");
graph.AddVertex(newVertex1);
graph.AddVertex(newVertex2);
graph.AddVertex(newVertex3);
var newEdge1 = new UndirectedEdge(newVertex1, newVertex2);
var newEdge2 = new UndirectedEdge(newVertex1, newVertex3);
graph.AddEdge(newEdge1);
graph.AddEdge(newEdge2);
var clonedGraph = graph.Clone() as IGraph;
Assert.IsTrue(clonedGraph is UndirectedGraph);
Assert.AreEqual(graph.VerticesCount, clonedGraph.VerticesCount);
foreach (var vertex in graph.Vertices)
{
var clonedVertex = clonedGraph.Vertices.Single(v => v.Equals(vertex));
Assert.AreNotSame(clonedVertex, vertex);
}
Assert.AreEqual(graph.EdgesCount, clonedGraph.EdgesCount);
foreach (var clonedEdge in clonedGraph.Edges)
{
Assert.IsTrue(clonedEdge is UndirectedEdge);
var edge = graph.Edges.Single(e => e.Equals(clonedEdge));
Assert.AreNotSame(edge, clonedEdge);
}
}
public void UndirectedDijkstraSimpleGraph()
{
var undirectedGraph = 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);
undirectedGraph.AddVertex(v1);
undirectedGraph.AddVertex(v2);
undirectedGraph.AddVertex(v3);
undirectedGraph.AddEdge(e1);
undirectedGraph.AddEdge(e2);
undirectedGraph.AddEdge(e3);
var algorithm = new UndirectedDijkstraShortestPathAlgorithm <object, Edge <object> >(
undirectedGraph,
edge => 1.0);
var observer = new UndirectedVertexPredecessorRecorderObserver <object, Edge <object> >();
using (observer.Attach(algorithm))
algorithm.Compute(v1);
Assert.IsTrue(observer.TryGetPath(v3, out _));
}
private List <UndirectedGraph <int, IEdge <int> > > FindComponents(UndirectedGraph <int, IEdge <int> > g)
{
List <UndirectedGraph <int, IEdge <int> > > components = new List <UndirectedGraph <int, IEdge <int> > >();
HashSet <int> vertices = g.Vertices.ToHashSet();
while (vertices.Count > 0)
{
UndirectedGraph <int, IEdge <int> > component = new UndirectedGraph <int, IEdge <int> >(false);
Queue <int> queue = new Queue <int>();
int v = vertices.First();
vertices.Remove(v);
queue.Enqueue(v);
component.AddVertex(v);
while (queue.Count > 0)
{
v = queue.Dequeue();
foreach (int n in g.AdjacentVertices(v))
{
if (vertices.Contains(n))
{
component.AddVertex(n);
queue.Enqueue(n);
vertices.Remove(n);
}
component.AddEdge(new Edge <int>(v, n));
}
}
components.Add(component);
}
return(components);
}
private void Initialize()
{
_graph = new UndirectedGraph <PointVertex, Edge <PointVertex> >();
_nodes.Clear();
foreach (Obstacle obstacle in _obstacles)
{
foreach (RotationTreeNode node in obstacle.Nodes)
{
_nodes.Add(node);
_graph.AddVertex(new PointVertex(node.Point));
}
_graph.AddEdgeRange(obstacle.Segments.Select(s => new Edge <PointVertex>(new PointVertex(s.Point1.Point), new PointVertex(s.Point2.Point))));
}
foreach (Point point in _singlePoints)
{
Obstacle obstacle = _obstacles.FirstOrDefault(o => o.Contains(point));
var newPoint = new RotationTreeNode(obstacle, point, true);
_graph.AddVertex(new PointVertex(point));
_nodes.Add(newPoint);
}
double maxX = _nodes.Max(p => p.Point.X);
_plusInf = new RotationTreeNode(new Point(maxX + 100, double.PositiveInfinity));
_minusInf = new RotationTreeNode(new Point(maxX + 100, double.NegativeInfinity));
_plusInf.AddChild(_minusInf);
foreach (RotationTreeNode node in _nodes.OrderByDescending(n => n))
{
_minusInf.AddChild(node);
}
}
public void IsEulerianManyComponents()
{
// Eulerian
UndirectedGraph <int, UndirectedEdge <int> > graph = CreateUndirectedGraph(new[]
{
new Vertices(1, 2),
new Vertices(2, 3),
new Vertices(1, 3)
});
graph.AddVertex(4);
graph.AddVertex(5);
AssertIsEulerian(true, graph);
// Not Eulerian
graph = CreateUndirectedGraph(new[]
{
new Vertices(1, 2),
new Vertices(2, 3),
new Vertices(1, 3),
new Vertices(4, 5),
new Vertices(5, 6),
new Vertices(4, 6)
});
graph.AddVertex(7);
AssertIsEulerian(false, graph);
}
private List <NodeConfig> DetermineMavens()
{
var mavens = new List <NodeConfig>();
var graph = new UndirectedGraph <string, Edge <string> >();
foreach (var config in _configs)
{
graph.AddVertex(config.CurrentNode.Name);
foreach (var connection in config.Connections)
{
graph.AddVertex(connection.Name);
graph.AddEdge(new Edge <string>(config.CurrentNode.Name, connection.Name));
}
}
var components = new Dictionary <string, int>();
graph.ConnectedComponents(components);
foreach (var i in components.Values.Distinct())
{
var names = components.Where(p => p.Value == i).Select(p => p.Key);
var node = _configs.Where(config => names.Contains(config.CurrentNode.Name))
.OrderByDescending(x => x.Connections.Count).First();
mavens.Add(node);
}
return(mavens);
}
public void IsomorphismTest()
{
var graph1 = new UndirectedGraph();
var vertexA = new Vertex("A");
var vertexB = new Vertex("B");
var vertexC = new Vertex("C");
var vertexD = new Vertex("D");
var graph2 = new UndirectedGraph();
var vertex1 = new Vertex("1");
var vertex2 = new Vertex("2");
var vertex3 = new Vertex("3");
var vertex4 = new Vertex("4");
graph1.AddEdge(new UndirectedEdge(vertexB, vertexC));
graph2.AddEdge(new UndirectedEdge(vertex1, vertex3));
graph1.AddEdge(new UndirectedEdge(vertexC, vertexD));
graph2.AddEdge(new UndirectedEdge(vertex3, vertex4));
graph2.AddVertex(vertex1);
graph2.AddVertex(vertex2);
graph2.AddVertex(vertex3);
graph2.AddVertex(vertex4);
graph1.AddVertex(vertexA);
graph1.AddVertex(vertexB);
graph1.AddVertex(vertexC);
graph1.AddVertex(vertexD);
Assert.IsTrue(GraphOperations.CheckIsomorphism(graph1, graph2));
}
public void TestGraphWithOneVertex()
{
Graph graph = new UndirectedGraph();
try
{
graph.IsConnected();
Assert.Fail();
}
catch (InvalidOperationException)
{
//test passed
}
Vertex v1 = new("v1");
graph.AddVertex(v1);
Assert.IsTrue(graph.IsConnected());
Vertex v2 = new("v2");
graph.AddVertex(v2);
Assert.IsFalse(graph.IsConnected());
graph.AddEdge(new UndirectedEdge(new Vertex[] { v1, v2 }, "e1"));
Assert.IsTrue(graph.IsConnected());
Assert.ThrowsException <InvalidGraphStructureException>(() => graph.AddEdge(new UndirectedEdge(new Vertex[] { v2, v1 }, "e2")));
Assert.IsTrue(graph.IsConnected());
}
public void Repro42450()
{
var ug = 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);
ug.AddVertex(v1);
ug.AddVertex(v2);
ug.AddVertex(v3);
ug.AddEdge(e1);
ug.AddEdge(e2);
ug.AddEdge(e3);
var udspa =
new UndirectedDijkstraShortestPathAlgorithm <object, QuickGraph.Edge <object> >(ug, edge => (double)1);
var observer =
new UndirectedVertexPredecessorRecorderObserver <object, Edge <object> >();
using (observer.Attach(udspa))
udspa.Compute(v1);
IEnumerable <QuickGraph.Edge <object> > path;
observer.TryGetPath(v3, out path);
}
private void Connect(AcadGeo.Point3d fp, AcadGeo.Point3d sp)
{
Node fn = FindNode(fp);
if (null == fn)
{
fn = new Node(fp);
routers.AddVertex(fn);
}
Node sn = FindNode(sp);
if (null == sn)
{
sn = new Node(sp);
routers.AddVertex(sn);
}
if (routers.ContainsEdge(fn, sn))
{
return;
}
Connection conn = new Connection(fn, sn);
routers.AddEdge(conn);
fn.Connections.Add(conn);
sn.Connections.Add(conn);
}
public void Return_100_Given_Graph_With_4_Vertexes_And_5_Edges()
{
// Arrange
var graph = new UndirectedGraph();
var a = new Vertex("A");
var b = new Vertex("B");
var c = new Vertex("C");
var d = new Vertex("D");
graph.AddVertex(a);
graph.AddVertex(b);
graph.AddVertex(c);
graph.AddVertex(d);
graph.AddEdge(a, b, 10);
graph.AddEdge(b, c, 20);
graph.AddEdge(a, d, 30);
graph.AddEdge(d, c, 40);
graph.AddEdge(b, d, 50);
// Act
var actual1 = graph.FindMaxWeightedPath(a, c);
var actual2 = graph.FindMaxWeightedPath(c, a);
// Assert
Assert.Equal(100, actual1);
Assert.Equal(100, actual2);
}
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);
}
}
public void Return_30_Given_Graph_With_3_Vertexex_And_3_Edges()
{
// Arrange
var graph = new UndirectedGraph();
var a = new Vertex("A");
var b = new Vertex("B");
var c = new Vertex("C");
graph.AddVertex(a);
graph.AddVertex(b);
graph.AddVertex(c);
graph.AddEdge(a, b, 10);
graph.AddEdge(b, c, 20);
graph.AddEdge(c, a, 30);
// Act
var actual1 = graph.FindMaxWeightedPath(a, c);
var actual2 = graph.FindMaxWeightedPath(c, a);
// Assert
Assert.Equal(30, actual1);
Assert.Equal(30, actual2);
}
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);
}
}
public void Test_NormalGraph()
{
var printer = new GraphPrinter();
var graph1 = new UndirectedGraph();
var vertexA = new Vertex("A");
var vertexB = new Vertex("B");
var vertexC = new Vertex("C");
var vertexD = new Vertex("D");
var vertexE = new Vertex("E");
graph1.AddEdge(new UndirectedEdge(vertexA, vertexB));
graph1.AddEdge(new UndirectedEdge(vertexA, vertexC));
graph1.AddEdge(new UndirectedEdge(vertexB, vertexC));
graph1.AddEdge(new UndirectedEdge(vertexB, vertexD));
graph1.AddEdge(new UndirectedEdge(vertexC, vertexE));
graph1.AddEdge(new UndirectedEdge(vertexD, vertexE));
graph1.AddVertex(vertexA);
graph1.AddVertex(vertexB);
graph1.AddVertex(vertexC);
graph1.AddVertex(vertexD);
graph1.AddVertex(vertexE);
Assert.AreEqual("({A; B; C; D; E}, {(A, B); (A, C); (B, C); (B, D); (C, E); (D, E)})",
printer.GraphToString(graph1), "Ошибка: граф №1, GraphToString");
Assert.AreEqual("{(A, B); (A, C); (B, C); (B, D); (C, E); (D, E)}", printer.EdgesToString(graph1),
"Ошибка: граф №1, EdgesToString");
Assert.AreEqual("{A; B; C; D; E}", printer.VerticesToString(graph1), "Ошибка: граф №1, VerticesToString");
}
public void TestContainsEdgeWithEdgeTypeReverseEdgeTypeEdge()
{
var g = new UndirectedGraph <int, Edge <int> >(true);
g.AddVertex(1);
g.AddVertex(2);
g.AddEdge(new Edge <int>(1, 2));
Assert.IsTrue(g.ContainsEdge(new Edge <int>(1, 2)));
}
public void TestContainsEdgeWithEdgeWithNoSourceNode()
{
var g = new UndirectedGraph <int, Edge <int> >(true);
g.AddVertex(1);
g.AddVertex(2);
g.AddEdge(new Edge <int>(1, 2));
Assert.IsFalse(g.ContainsEdge(new Edge <int>(3, 1)));
}
public void Should_add_vertex()
{
Graph graph2 = new UndirectedGraph();
graph2.AddVertex("Paddington");
graph2.AddVertex("Old Street");
Assert.AreEqual("Old Street", graph2.MyGraph[1].VertexID);
}
public void TestContainsEdgeCountFalseParallelEdges()
{
var g = new UndirectedGraph <int, Edge <int> >(false);
g.AddVertex(1);
g.AddVertex(2);
g.AddEdge(new Edge <int>(1, 2));
g.AddEdge(new Edge <int>(2, 1));
Assert.IsTrue(g.EdgeCount == 1);
}
public void RemoveVertexIfTest()
{
var g = new UndirectedGraph <int, IEdge <int> >();
g.AddVertex(0);
g.AddVertex(1);
int result = g.RemoveVertexIf((vertex) => true);
Assert.AreEqual(result, 2);
}
public void VertexColoringNoEdge()
{
/*
* (1)
*
* Generate empty graph: (0) (3) (4)
*
* (2)
*/
UndirectedGraph <char, Edge <char> > graph = CreateTestGraph();
var algorithm = new VertexColoringAlgorithm <char, Edge <char> >(graph);
algorithm.Compute();
IDictionary <char, int?> coloredVertices = algorithm.Colors;
// Graph doesn't have first vertex color
Assert.IsFalse(coloredVertices.Values.Contains(1));
int?[] result = coloredVertices.Values.ToArray();
// Expecting to get only 1 color
Assert.AreEqual(1, result.Max() + 1);
// Not equal to null
foreach (int?color in result)
{
Assert.AreNotEqual(null, color);
}
// and corresponding colors of vertices
Assert.AreEqual(0, result[0]); // 0 vertex = 0 color
Assert.AreEqual(0, result[1]); // 1 vertex = 0 color
Assert.AreEqual(0, result[2]); // 2 vertex = 0 color
Assert.AreEqual(0, result[3]); // 3 vertex = 0 color
Assert.AreEqual(0, result[4]); // 4 vertex = 0 color
#region Local function
UndirectedGraph <char, Edge <char> > CreateTestGraph()
{
var g = new UndirectedGraph <char, Edge <char> >(true);
g.AddVertex('0'); // 1 Vertex
g.AddVertex('1'); // 2 Vertex
g.AddVertex('2'); // 3 Vertex
g.AddVertex('3'); // 4 Vertex
g.AddVertex('4'); // 5 Vertex
return(g);
}
#endregion
}
public void TestTargetAddEdge()
{
UndirectedGraph target = new UndirectedGraph();
target.AddVertex("v1");
target.AddVertex("v2");
Assert.IsTrue(target.ContainsVertex("v1"));
Assert.IsTrue(target.ContainsVertex("v2"));
target.AddEdge("v1", "v2");
Assert.IsTrue(target.ContainsEdge("v1", "v2"));
Assert.IsTrue(target.ContainsEdge("v2", "v1"));
}
public void AddVertexTest()
{
var graph = new UndirectedGraph();
var newVertex = new Vertex("test");
Assert.DoesNotThrow(() => graph.AddVertex(newVertex));
Assert.AreEqual(graph.VerticesCount, 1);
Assert.AreEqual(graph.Vertices.Count, 1);
Assert.AreEqual(graph.Vertices.First(), newVertex);
Assert.Throws <InvalidOperationException>(() => graph.AddVertex(newVertex));
Assert.Throws <ArgumentNullException>(() => graph.AddVertex(null));
}
/// <summary>
/// DFS is applied to traverse graph with color for bipartite
/// </summary>
/// <param name="n">N.</param>
/// <param name="subGraph" />
/// <param name="maxHash"></param>
/// <param name="colorDictionary"></param>
private bool DfsSearch(UndirectedGraph <IHash, Edge <IHash> > n, UndirectedGraph <IHash, Edge <IHash> > subGraph, ref IHash maxHash, Dictionary <IHash, int> colorDictionary)
{
//stack
Stack <IHash> stack = new Stack <IHash>();
stack.Push(maxHash);
subGraph.AddVertex(maxHash);
int color = 1;
colorDictionary[maxHash] = color;
bool res = true;
while (stack.Count > 0)
{
IHash cur = stack.Pop();
maxHash = n.AdjacentDegree(maxHash) > n.AdjacentDegree(cur) ? maxHash : cur;
//opposite color
color = colorDictionary[cur] * -1;
foreach (var edge in n.AdjacentEdges(cur))
{
IHash nei = edge.Source == cur ? edge.Target : edge.Source;
//color check
if (colorDictionary.Keys.Contains(nei))
{
if (colorDictionary[nei] != color)
{
res = false;
}
}
else
{
//add vertex
subGraph.AddVertex(nei);
colorDictionary.Add(nei, color);
stack.Push(nei);
}
//add edge
if (!subGraph.ContainsEdge(edge))
{
subGraph.AddEdge(edge);
}
}
}
return(res);
}
public void UndirectedGraph()
{
var g = new UndirectedGraph <int, Edge <int> >();
//populate
g.AddVertex(0);
g.AddVertex(1);
g.AddEdge(new Edge <int>(0, 1));
var result = SerializeDeserialize <int, Edge <int>, UndirectedGraph <int, Edge <int> > >(g);
AssertGraphsEqual(g, result);
}
public void TestEdgeCountAndVerticeCountAfterAdd()
{
var g = new UndirectedGraph <int, Edge <int> >(false);
g.AddVertex(1);
g.AddVertex(2);
g.AddEdge(new Edge <int>(1, 1));
g.AddEdge(new Edge <int>(2, 2));
g.AddEdge(new Edge <int>(1, 2));
bool ret = g.AddVertex(3);
Assert.IsTrue(g.EdgeCount == 3 && g.VertexCount == 3);
}
public void removeAdjacentEdgeIfTest()
{
var graph = new UndirectedGraph <int, IEdge <int> >();
graph.AddVertex(1);
graph.AddVertex(2);
graph.AddVertex(3);
graph.AddEdge(new EquatableEdge <int>(1, 2));
graph.AddEdge(new EquatableEdge <int>(1, 3));
graph.RemoveAdjacentEdgeIf(1, (edge) => edge.Target == 2);
Assert.IsTrue(graph.ContainsEdge(1, 3));
Assert.IsFalse(graph.ContainsEdge(1, 2));
}
public void UndirectedGraph()
{
var graph = new UndirectedGraph <int, EquatableEdge <int> >();
// Populate
graph.AddVertex(0);
graph.AddVertex(1);
graph.AddEdge(new EquatableEdge <int>(0, 1));
UndirectedGraph <int, EquatableEdge <int> > result =
SerializeDeserialize <int, EquatableEdge <int>, UndirectedGraph <int, EquatableEdge <int> > >(graph);
AssertGraphsEqual(graph, result);
}
private InputModel <char, Edge <char> > GenerateInputTest()
{
var g = new UndirectedGraph <char, Edge <char> >(true);
g.AddVertex('0'); // 1 Vertex
g.AddVertex('1'); // 2 Vertex
g.AddVertex('2'); // 3 Vertex
g.AddVertex('3'); // 4 Vertex
g.AddVertex('4'); // 5 Vertex
g.AddVertex('5'); // 6 Vertex
g.AddVertex('6'); // 7 Vertex
g.AddVertex('7'); // 8 Vertex
g.AddEdge(new Edge <char>('0', '4')); // 1 Edge
g.AddEdge(new Edge <char>('1', '2')); // 2 Edge
g.AddEdge(new Edge <char>('1', '3')); // 3 Edge
g.AddEdge(new Edge <char>('2', '4')); // 4 Edge
g.AddEdge(new Edge <char>('3', '4')); // 5 Edge
g.AddEdge(new Edge <char>('5', '7')); // 6 Edge
g.AddEdge(new Edge <char>('7', '0')); // 7 Edge
return(new InputModel <char, Edge <char> >
{
Graph = g
});
}
private InputModel <char, Edge <char> > GenerateInputEmpty()
{
var g = new UndirectedGraph <char, Edge <char> >(true);
g.AddVertex('0'); // 1 Vertex
g.AddVertex('1'); // 2 Vertex
g.AddVertex('2'); // 3 Vertex
g.AddVertex('3'); // 4 Vertex
g.AddVertex('4'); // 5 Vertex
return(new InputModel <char, Edge <char> >
{
Graph = g
});
}
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);
}
}
// 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 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);
}
}
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();
}
// 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;
}
static void Main(string[] args)
{
UndirectedGraph<int> lGraph = new UndirectedGraph<int>();
lGraph.AddVertex(1);
lGraph.AddVertex(2);
lGraph.AddVertex(3);
lGraph.AddVertex(4);
lGraph.AddVertex(5);
lGraph.AddVertex(6);
lGraph.AddVertex(7);
lGraph.AddVertex(8);
lGraph.Connect(lGraph[1], lGraph[2]);
lGraph.Connect(lGraph[2], lGraph[3]);
lGraph.Connect(lGraph[7], lGraph[3]);
lGraph.Connect(lGraph[5], lGraph[7]);
lGraph.Connect(lGraph[2], lGraph[6]);
lGraph.Connect(lGraph[5], lGraph[4]);
lGraph.Connect(lGraph[4], lGraph[3]);
lGraph.Connect(lGraph[7], lGraph[8]);
lGraph.Connect(lGraph[7], lGraph[1]);
foreach (var lVertex in lGraph.GetVertices())
{
Console.WriteLine("Stupeň uzlu {0} = {1}",lVertex.Value, lGraph.GetVertexDegree(lVertex));
}
ISequence<int> lSeq = new Sequence<int>();
lSeq.MakeSequence(new Edge<int>(8, 2), new Edge<int>(2, 5), new Edge<int>(5, 1), new Edge<int>(1, 3));
//Console.WriteLine("Is Closed Sequence: " + lSeq.IsClosedSquence());
Console.WriteLine("Is Graph Sequence: " + lSeq.IsGraphSequence(lGraph));
Console.WriteLine("Is Move: " + lSeq.IsMove());
Console.WriteLine("Is Path: " + lSeq.IsPath());
foreach (var lVertex in lGraph.GetVertices())
{
var lSousedi = lGraph.GetVertices(lVertex);
Console.Write("Sousedé uzlu {0} = ", lVertex.Value);
foreach (var nVertex in lSousedi)
{
Console.Write("{0}, ", nVertex.Value);
}
Console.WriteLine("");
}
var lGr = new UndirectedGraph<int>();
lGr.AddVertex(18);
lGr.AddVertex(20);
lGr.AddVertex(13);
lGr.AddVertex(11);
lGr.AddVertex(20);
lGr.Connect(lGr[13], lGr[11]);
lGr.Connect(lGr[20], lGr[11]);
lGr.Connect(lGr[13], lGr[18]);
lGr.Connect(lGr[18], lGr[13]);
lGr.Connect(lGr[11], lGr[18]);
lGr.Connect(lGr[20], lGr[13]);
lGraph.Join(lGr, new Edge<int>(1, 11));
foreach (var lVertex in lGraph.GetVertices())
{
var lSousedi = lGraph.GetVertices(lVertex);
Console.Write("Sousedé uzlu {0} = ", lVertex.Value);
foreach (var nVertex in lSousedi)
{
Console.Write("{0}, ", nVertex.Value);
}
Console.WriteLine("");
}
var lGraf = new UndirectedValuedGraph<int>();
lGraf.AddVertex(1);
lGraf.AddVertex(2);
lGraf.AddVertex(3);
lGraf.AddVertex(4);
lGraf.AddVertex(5);
lGraf.AddVertex(6);
lGraf.Connect(lGraf[1], lGraf[2], 2);
lGraf.Connect(lGraf[1], lGraf[3], 2);
lGraf.Connect(lGraf[1], lGraf[4], 1);
lGraf.Connect(lGraf[1], lGraf[5], 2);
lGraf.Connect(lGraf[1], lGraf[6], 3);
lGraf.Connect(lGraf[2], lGraf[3], 3);
lGraf.Connect(lGraf[2], lGraf[4], 4);
lGraf.Connect(lGraf[2], lGraf[5], 1);
lGraf.Connect(lGraf[2], lGraf[6], 3);
lGraf.Connect(lGraf[3], lGraf[4], 1);
lGraf.Connect(lGraf[3], lGraf[5], 2);
lGraf.Connect(lGraf[3], lGraf[6], 1);
lGraf.Connect(lGraf[4], lGraf[5], 2);
lGraf.Connect(lGraf[4], lGraf[6], 3);
lGraf.Connect(lGraf[5], lGraf[6], 3);
var lVys = lGraf.GetSpanningTree();
var lSeznam = lVys.WideSearch(lGraf[6]);
Console.ReadKey();
}
private void Initialize()
{
_graph = new UndirectedGraph<PointVertex, Edge<PointVertex>>();
_nodes.Clear();
foreach (Obstacle obstacle in _obstacles)
{
foreach (RotationTreeNode node in obstacle.Nodes)
{
_nodes.Add(node);
_graph.AddVertex(new PointVertex(node.Point));
}
_graph.AddEdgeRange(obstacle.Segments.Select(s => new Edge<PointVertex>(new PointVertex(s.Point1.Point), new PointVertex(s.Point2.Point))));
}
foreach (Point point in _singlePoints)
{
Obstacle obstacle = _obstacles.FirstOrDefault(o => o.Contains(point));
var newPoint = new RotationTreeNode(obstacle, point, true);
_graph.AddVertex(new PointVertex(point));
_nodes.Add(newPoint);
}
double maxX = _nodes.Max(p => p.Point.X);
_plusInf = new RotationTreeNode(new Point(maxX + 100, double.PositiveInfinity));
_minusInf = new RotationTreeNode(new Point(maxX + 100, double.NegativeInfinity));
_plusInf.AddChild(_minusInf);
foreach (RotationTreeNode node in _nodes.OrderByDescending(n => n))
_minusInf.AddChild(node);
}
public void test6()
{
UndirectedGraph<int, Edge<int>> graph = new UndirectedGraph<int, Edge<int>>(true);
// Add vertices to the graph
graph.AddVertex(0);
graph.AddVertex(1);
// Create the edges
Edge<int> e0_1 = new Edge<int>(0, 1);
// Add the edges
graph.AddEdge(e0_1);
List<int> path = new List<int>();
HamiltonianDefiner definer = new HamiltonianDefiner(graph);
bool isHamiltonian = definer.isHamiltonianGraph(path);
Assert.AreEqual(isHamiltonian, false);
}
public void InitializeGraph(String goPath)
{
AdjacencyGraph<Int32, Edge<Int32>> graph = null;
String line, goNamespace = null;
Int32 currentTerm = 0;
Int32 parentTerm = 0;
using(StreamReader reader = new StreamReader(goPath)) {
while (!reader.EndOfStream) {
line = reader.ReadLine();
if (line.StartsWith("[Typedef]")) {
reader.ReadToEnd();
} else if (line.StartsWith("id:")) {
currentTerm = Int32.Parse(line.Substring(7,7));
} else if (line.StartsWith("namespace:")) {
goNamespace = line.Substring(11);
} else if (line.StartsWith("is_a:")) {
if (!graphs.ContainsKey(goNamespace)) {
graphs.Add(goNamespace, new AdjacencyGraph<Int32, Edge<Int32>>());
}
graph = graphs[goNamespace];
graph.AddVertex(currentTerm);
parentTerm = Int32.Parse(line.Substring(10,7));
graph.AddVertex(parentTerm);
graph.AddEdge(new Edge<Int32>(currentTerm,parentTerm));
}
}
}
foreach(String ns in graphs.Keys) {
var g = graphs[ns];
var newGraph = new UndirectedGraph<Int32, UndirectedEdge<Int32>>();
foreach (Edge<Int32> e in g.Edges) {
newGraph.AddVertex(e.Source);
newGraph.AddVertex(e.Target);
newGraph.AddEdge(new UndirectedEdge<Int32>(e.Source, e.Target));
}
undirectedGraphs.Add(ns, newGraph);
}
}
public static void createTables()
{
// Create graph
var graph = new UndirectedGraph<int, Edge<int>>();
// Add vertices to the graph
for (var i = 0; i < FormMain.nodes.Count; i++)
graph.AddVertex(i);
// Create edges
var edgeCost = new Dictionary<Edge<int>, double>();
for (var i = 0; i < FormMain.edges.Count; i++)
{
var quickGraphEdge = new Edge<int>(FormMain.nodes.IndexOf(FormMain.edges[i].nodes[0]), FormMain.nodes.IndexOf(FormMain.edges[i].nodes[1]));
graph.AddEdge(quickGraphEdge);
edgeCost.Add(quickGraphEdge, FormMain.edges[i].Weight);
}
// Initialize tables
distanceTable = new double[FormMain.nodes.Count, FormMain.nodes.Count];
pathTable = new List<int>[FormMain.nodes.Count, FormMain.nodes.Count];
for (var i = 0; i < FormMain.nodes.Count; i++)
for (var j = 0; j < FormMain.nodes.Count; j++)
{
distanceTable[i, j] = double.PositiveInfinity;
pathTable[i, j] = new List<int>();
}
// Create tables
for (var source = 0; source < FormMain.nodes.Count; source++)
{
// We want to use Dijkstra on this graph
var dijkstra = new UndirectedDijkstraShortestPathAlgorithm<int, Edge<int>>(graph, edge => edgeCost[edge]);
// attach a distance observer to give us the shortest path distances
var distObserver = new UndirectedVertexDistanceRecorderObserver<int, Edge<int>>(edge => edgeCost[edge]);
distObserver.Attach(dijkstra);
// Attach a Vertex Predecessor Recorder Observer to give us the paths
var predecessorObserver = new UndirectedVertexPredecessorRecorderObserver<int, Edge<int>>();
predecessorObserver.Attach(dijkstra);
// Run the algorithm for current Node
dijkstra.Compute(source);
// Add values to table
foreach (var target in distObserver.Distances)
{
distanceTable[source, target.Key] = target.Value;
IEnumerable<Edge<int>> path;
if (predecessorObserver.TryGetPath(target.Key, out path))
pathTable[source, target.Key].AddRange(path.Select(edge => edge.Source).Concat(path.Select(edge => edge.Target)).Distinct().OrderBy(next => distObserver.Distances[next]));
}
}
// Create route tables
foreach (var source in FormMain.nodes)
source.routeTable = FormMain.nodes.ToDictionary(target => target, target =>
(
from edge in FormMain.edges
where edge.nodes.Contains(source)
let adjacent = edge.nodes[0] != source ? edge.nodes[0] : edge.nodes[1]
where !pathTable[adjacent.ID, target.ID].Contains(source.ID)
orderby edge.Weight + distanceTable[adjacent.ID, target.ID] ascending
select adjacent
).ToList());
TablesRequired = false;
}