public void UpdatingAndGettingEdgeWeight()
{
var vertices = new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
var graph = new WeightedAMGraph <int, int>();
graph.AddVertices(vertices);
Assert.IsTrue(graph.VerticesCount == vertices.Length);
foreach (var vertex in vertices)
{
Assert.IsTrue(graph.ContainsVertex(vertex));
}
// Graph is:
// 1 <-> 2, 3, 4
// 2 <-> 1, 3, 5, 6
// 3 <-> 1, 2, 6
// 4 <-> 1, 6, 7
// 5 <-> 2, 7, 8
// 6 <-> 2, 3, 4
// 7 <-> 4, 8
// 8 <-> 7, 5
// 9 <->
// With each edge having a weight of the sum of its vertices
graph.AddEdge(1, 2, 3);
graph.AddEdge(1, 3, 4);
graph.AddEdge(1, 4, 5);
graph.AddEdge(2, 3, 5);
graph.AddEdge(2, 5, 7);
graph.AddEdge(2, 6, 8);
graph.AddEdge(3, 6, 9);
graph.AddEdge(4, 6, 10);
graph.AddEdge(4, 7, 11);
graph.AddEdge(5, 7, 12);
graph.AddEdge(5, 8, 13);
graph.AddEdge(7, 8, 15);
int weight = 0;
Assert.IsTrue(graph.TryGetEdgeWeight(1, 2, out weight));
Assert.IsTrue(weight == 3);
Assert.IsTrue(graph.UpdateEdgeWeight(1, 2, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(2, 1, out weight));
Assert.IsTrue(weight == 6);
Assert.IsTrue(graph.TryGetEdgeWeight(1, 3, out weight));
Assert.IsTrue(weight == 4);
Assert.IsTrue(graph.UpdateEdgeWeight(1, 3, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(3, 1, out weight));
Assert.IsTrue(weight == 8);
Assert.IsTrue(graph.TryGetEdgeWeight(1, 4, out weight));
Assert.IsTrue(weight == 5);
Assert.IsTrue(graph.UpdateEdgeWeight(1, 4, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(4, 1, out weight));
Assert.IsTrue(weight == 10);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 3, out weight));
Assert.IsTrue(weight == 5);
Assert.IsTrue(graph.UpdateEdgeWeight(2, 3, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(3, 2, out weight));
Assert.IsTrue(weight == 10);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 5, out weight));
Assert.IsTrue(weight == 7);
Assert.IsTrue(graph.UpdateEdgeWeight(2, 5, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(5, 2, out weight));
Assert.IsTrue(weight == 14);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 6, out weight));
Assert.IsTrue(weight == 8);
Assert.IsTrue(graph.UpdateEdgeWeight(2, 6, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(6, 2, out weight));
Assert.IsTrue(weight == 16);
Assert.IsTrue(graph.TryGetEdgeWeight(3, 6, out weight));
Assert.IsTrue(weight == 9);
Assert.IsTrue(graph.UpdateEdgeWeight(3, 6, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(6, 3, out weight));
Assert.IsTrue(weight == 18);
Assert.IsTrue(graph.TryGetEdgeWeight(4, 6, out weight));
Assert.IsTrue(weight == 10);
Assert.IsTrue(graph.UpdateEdgeWeight(4, 6, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(6, 4, out weight));
Assert.IsTrue(weight == 20);
Assert.IsTrue(graph.TryGetEdgeWeight(4, 7, out weight));
Assert.IsTrue(weight == 11);
Assert.IsTrue(graph.UpdateEdgeWeight(4, 7, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(7, 4, out weight));
Assert.IsTrue(weight == 22);
Assert.IsTrue(graph.TryGetEdgeWeight(5, 7, out weight));
Assert.IsTrue(weight == 12);
Assert.IsTrue(graph.UpdateEdgeWeight(5, 7, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(7, 5, out weight));
Assert.IsTrue(weight == 24);
Assert.IsTrue(graph.TryGetEdgeWeight(5, 8, out weight));
Assert.IsTrue(weight == 13);
Assert.IsTrue(graph.UpdateEdgeWeight(5, 8, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(8, 5, out weight));
Assert.IsTrue(weight == 26);
Assert.IsTrue(graph.TryGetEdgeWeight(7, 8, out weight));
Assert.IsTrue(weight == 15);
Assert.IsTrue(graph.UpdateEdgeWeight(7, 8, weight * 2));
Assert.IsTrue(graph.TryGetEdgeWeight(8, 7, out weight));
Assert.IsTrue(weight == 30);
}
public void CheckIfDFSIsCorrect()
{
var vertices = new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
var graph = new WeightedAMGraph <int, int>();
graph.AddVertices(vertices);
// Graph is:
// 1 <-> 2, 3, 4
// 2 <-> 1, 3, 5, 6
// 3 <-> 1, 2, 6
// 4 <-> 1, 6, 7
// 5 <-> 2, 7, 8
// 6 <-> 2, 3, 4
// 7 <-> 4, 8
// 8 <-> 7, 5
// 9 <->
// With each edge having a weight of the sum of its vertices
graph.AddEdge(1, 2, 3);
graph.AddEdge(1, 3, 4);
graph.AddEdge(1, 4, 5);
graph.AddEdge(2, 3, 5);
graph.AddEdge(2, 5, 7);
graph.AddEdge(2, 6, 8);
graph.AddEdge(3, 6, 9);
graph.AddEdge(4, 6, 10);
graph.AddEdge(4, 7, 11);
graph.AddEdge(5, 7, 12);
graph.AddEdge(5, 8, 13);
graph.AddEdge(7, 8, 15);
// Expected dfs for vertex 1:
// 1 | 2 | 3 | 6 | 4 | 7 | 5 | 8
var dfsExpectedOutput = new int[] { 1, 2, 3, 6, 4, 7, 5, 8 };
var dfs = graph.DepthFirstSearch(1).ToList();
Assert.IsTrue(dfs.Count == dfsExpectedOutput.Length);
for (int i = 0; i < dfs.Count; i++)
{
Assert.IsTrue(dfs[i] == dfsExpectedOutput[i]);
}
// Expected dfs edges for vertex 1:
// 1 | 2 | 3 | 6 | 4 | 7 | 5
// 2 | 3 | 6 | 4 | 7 | 5 | 8
var dfsExpectedSources = new int[] { 1, 2, 3, 6, 4, 7, 5 };
var dfsExpectedDestinations = new int[] { 2, 3, 6, 4, 7, 5, 8 };
var dfsEdges = graph.DepthFirstSearchEdges(1).ToList();
Assert.IsTrue(dfsEdges.Count == dfsExpectedSources.Length);
for (int i = 0; i < dfsEdges.Count; i++)
{
Assert.IsTrue(dfsEdges[i].Source == dfsExpectedSources[i]);
Assert.IsTrue(dfsEdges[i].Destination == dfsExpectedDestinations[i]);
Assert.IsTrue(dfsEdges[i].Weight == dfsEdges[i].Source + dfsEdges[i].Destination);
}
// Expected dfs for vertex 8:
// 8 | 5 | 2 | 1 | 3 | 6 | 4 | 7
dfsExpectedOutput = new int[] { 8, 5, 2, 1, 3, 6, 4, 7 };
dfs = graph.DepthFirstSearch(8).ToList();
Assert.IsTrue(dfs.Count == dfsExpectedOutput.Length);
for (int i = 0; i < dfs.Count; i++)
{
Assert.IsTrue(dfs[i] == dfsExpectedOutput[i]);
}
// Expected dfs edges for vertex 8:
// 8 | 5 | 2 | 1 | 3 | 6 | 4
// 5 | 2 | 1 | 3 | 6 | 4 | 7
dfsExpectedSources = new int[] { 8, 5, 2, 1, 3, 6, 4 };
dfsExpectedDestinations = new int[] { 5, 2, 1, 3, 6, 4, 7 };
dfsEdges = graph.DepthFirstSearchEdges(8).ToList();
Assert.IsTrue(dfsEdges.Count == dfsExpectedSources.Length);
for (int i = 0; i < dfsEdges.Count; i++)
{
Assert.IsTrue(dfsEdges[i].Source == dfsExpectedSources[i]);
Assert.IsTrue(dfsEdges[i].Destination == dfsExpectedDestinations[i]);
Assert.IsTrue(dfsEdges[i].Weight == dfsEdges[i].Source + dfsEdges[i].Destination);
}
}
public void RemovingVerticesAndCheckingIfRemovedProperly()
{
var vertices = new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
var graph = new WeightedAMGraph <int, int>();
graph.AddVertices(vertices);
// Graph is:
// 1 <-> 2, 3, 4
// 2 <-> 1, 3, 5, 6
// 3 <-> 1, 2, 6
// 4 <-> 1, 6, 7
// 5 <-> 2, 7, 8
// 6 <-> 2, 3, 4
// 7 <-> 4, 8
// 8 <-> 7, 5
// 9 <->
// With each edge having a weight of the sum of its vertices
graph.AddEdge(1, 2, 3);
graph.AddEdge(1, 3, 4);
graph.AddEdge(1, 4, 5);
graph.AddEdge(2, 3, 5);
graph.AddEdge(2, 5, 7);
graph.AddEdge(2, 6, 8);
graph.AddEdge(3, 6, 9);
graph.AddEdge(4, 6, 10);
graph.AddEdge(4, 7, 11);
graph.AddEdge(5, 7, 12);
graph.AddEdge(5, 8, 13);
graph.AddEdge(7, 8, 15);
Assert.IsTrue(graph.EdgesCount == 12);
Assert.IsTrue(graph.ContainsVertex(3));
Assert.IsTrue(graph.ContainsEdge(3, 1));
Assert.IsTrue(graph.ContainsEdge(3, 2));
Assert.IsTrue(graph.ContainsEdge(3, 6));
Assert.IsTrue(graph.ContainsEdge(1, 3));
Assert.IsTrue(graph.ContainsEdge(2, 3));
Assert.IsTrue(graph.ContainsEdge(6, 3));
graph.RemoveVertex(3);
Assert.IsFalse(graph.ContainsVertex(3));
Assert.IsFalse(graph.ContainsEdge(3, 1));
Assert.IsFalse(graph.ContainsEdge(3, 2));
Assert.IsFalse(graph.ContainsEdge(3, 6));
Assert.IsFalse(graph.ContainsEdge(1, 3));
Assert.IsFalse(graph.ContainsEdge(2, 3));
Assert.IsFalse(graph.ContainsEdge(6, 3));
Assert.IsTrue(graph.EdgesCount == 9);
Assert.IsTrue(graph.ContainsVertex(5));
Assert.IsTrue(graph.ContainsEdge(5, 2));
Assert.IsTrue(graph.ContainsEdge(5, 7));
Assert.IsTrue(graph.ContainsEdge(5, 8));
Assert.IsTrue(graph.ContainsEdge(2, 5));
Assert.IsTrue(graph.ContainsEdge(7, 5));
Assert.IsTrue(graph.ContainsEdge(8, 5));
graph.RemoveVertex(5);
Assert.IsFalse(graph.ContainsVertex(5));
Assert.IsFalse(graph.ContainsEdge(5, 2));
Assert.IsFalse(graph.ContainsEdge(5, 7));
Assert.IsFalse(graph.ContainsEdge(5, 8));
Assert.IsFalse(graph.ContainsEdge(2, 5));
Assert.IsFalse(graph.ContainsEdge(7, 5));
Assert.IsFalse(graph.ContainsEdge(8, 5));
Assert.IsTrue(graph.EdgesCount == 6);
}
public void CheckIfOutgoingEdgesAreCorrect()
{
var vertices = new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
var graph = new WeightedAMGraph <int, int>();
graph.AddVertices(vertices);
// Graph is:
// 1 <-> 2, 3, 4
// 2 <-> 1, 3, 5, 6
// 3 <-> 1, 2, 6
// 4 <-> 1, 6, 7
// 5 <-> 2, 7, 8
// 6 <-> 2, 3, 4
// 7 <-> 4, 8
// 8 <-> 7, 5
// 9 <->
// With each edge having a weight of the sum of its vertices
graph.AddEdge(1, 2, 3);
graph.AddEdge(1, 3, 4);
graph.AddEdge(1, 4, 5);
graph.AddEdge(2, 3, 5);
graph.AddEdge(2, 5, 7);
graph.AddEdge(2, 6, 8);
graph.AddEdge(3, 6, 9);
graph.AddEdge(4, 6, 10);
graph.AddEdge(4, 7, 11);
graph.AddEdge(5, 7, 12);
graph.AddEdge(5, 8, 13);
graph.AddEdge(7, 8, 15);
// Vertex 1 expected outgoing edges: 2 3 4
var expected = new int[] { 2, 3, 4 };
var edges = graph.OutgoingEdgesSorted(1).ToList();
Assert.IsTrue(edges.Count == expected.Length);
for (int i = 0; i < expected.Length; i++)
{
Assert.IsTrue(edges[i].Destination == expected[i]);
Assert.IsTrue(edges[i].Weight == edges[i].Source + edges[i].Destination);
}
// Vertex 2 expected outgoing edges: 1 3 5 6
expected = new int[] { 1, 3, 5, 6 };
edges = graph.OutgoingEdgesSorted(2).ToList();
Assert.IsTrue(edges.Count == expected.Length);
for (int i = 0; i < expected.Length; i++)
{
Assert.IsTrue(edges[i].Destination == expected[i]);
Assert.IsTrue(edges[i].Weight == edges[i].Source + edges[i].Destination);
}
// Vertex 7 expected outgoing edges: 4 5 8
expected = new int[] { 4, 5, 8 };
edges = graph.OutgoingEdgesSorted(7).ToList();
Assert.IsTrue(edges.Count == expected.Length);
for (int i = 0; i < expected.Length; i++)
{
Assert.IsTrue(edges[i].Destination == expected[i]);
Assert.IsTrue(edges[i].Weight == edges[i].Source + edges[i].Destination);
}
}
public void CheckingIfVerticesAndEdgesAreAddedProperly()
{
var vertices = new int[] { 1, 2, 3, 4, 5, 6, 7, 8, 9 };
var graph = new WeightedAMGraph <int, int>();
graph.AddVertices(vertices);
Assert.IsTrue(graph.VerticesCount == vertices.Length);
foreach (var vertex in vertices)
{
Assert.IsTrue(graph.ContainsVertex(vertex));
}
// Graph is:
// 1 <-> 2, 3, 4
// 2 <-> 1, 3, 5, 6
// 3 <-> 1, 2, 6
// 4 <-> 1, 6, 7
// 5 <-> 2, 7, 8
// 6 <-> 2, 3, 4
// 7 <-> 4, 8
// 8 <-> 7, 5
// 9 <->
// With each edge having a weight of the sum of its vertices
graph.AddEdge(1, 2, 3);
graph.AddEdge(1, 3, 4);
graph.AddEdge(1, 4, 5);
graph.AddEdge(2, 3, 5);
graph.AddEdge(2, 5, 7);
graph.AddEdge(2, 6, 8);
graph.AddEdge(3, 6, 9);
graph.AddEdge(4, 6, 10);
graph.AddEdge(4, 7, 11);
graph.AddEdge(5, 7, 12);
graph.AddEdge(5, 8, 13);
graph.AddEdge(7, 8, 15);
Assert.IsTrue(graph.EdgesCount == 12);
int weight = 0;
Assert.IsTrue(graph.TryGetEdgeWeight(1, 2, out weight));
Assert.IsTrue(weight == 3);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 1, out weight));
Assert.IsTrue(weight == 3);
Assert.IsTrue(graph.TryGetEdgeWeight(1, 3, out weight));
Assert.IsTrue(weight == 4);
Assert.IsTrue(graph.TryGetEdgeWeight(3, 1, out weight));
Assert.IsTrue(weight == 4);
Assert.IsTrue(graph.TryGetEdgeWeight(1, 4, out weight));
Assert.IsTrue(weight == 5);
Assert.IsTrue(graph.TryGetEdgeWeight(4, 1, out weight));
Assert.IsTrue(weight == 5);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 3, out weight));
Assert.IsTrue(weight == 5);
Assert.IsTrue(graph.TryGetEdgeWeight(3, 2, out weight));
Assert.IsTrue(weight == 5);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 5, out weight));
Assert.IsTrue(weight == 7);
Assert.IsTrue(graph.TryGetEdgeWeight(5, 2, out weight));
Assert.IsTrue(weight == 7);
Assert.IsTrue(graph.TryGetEdgeWeight(2, 6, out weight));
Assert.IsTrue(weight == 8);
Assert.IsTrue(graph.TryGetEdgeWeight(6, 2, out weight));
Assert.IsTrue(weight == 8);
Assert.IsTrue(graph.TryGetEdgeWeight(3, 6, out weight));
Assert.IsTrue(weight == 9);
Assert.IsTrue(graph.TryGetEdgeWeight(6, 3, out weight));
Assert.IsTrue(weight == 9);
Assert.IsTrue(graph.TryGetEdgeWeight(4, 6, out weight));
Assert.IsTrue(weight == 10);
Assert.IsTrue(graph.TryGetEdgeWeight(6, 4, out weight));
Assert.IsTrue(weight == 10);
Assert.IsTrue(graph.TryGetEdgeWeight(4, 7, out weight));
Assert.IsTrue(weight == 11);
Assert.IsTrue(graph.TryGetEdgeWeight(7, 4, out weight));
Assert.IsTrue(weight == 11);
Assert.IsTrue(graph.TryGetEdgeWeight(5, 7, out weight));
Assert.IsTrue(weight == 12);
Assert.IsTrue(graph.TryGetEdgeWeight(7, 5, out weight));
Assert.IsTrue(weight == 12);
Assert.IsTrue(graph.TryGetEdgeWeight(5, 8, out weight));
Assert.IsTrue(weight == 13);
Assert.IsTrue(graph.TryGetEdgeWeight(8, 5, out weight));
Assert.IsTrue(weight == 13);
Assert.IsTrue(graph.TryGetEdgeWeight(7, 8, out weight));
Assert.IsTrue(weight == 15);
Assert.IsTrue(graph.TryGetEdgeWeight(8, 7, out weight));
Assert.IsTrue(weight == 15);
Assert.IsFalse(graph.ContainsEdge(1, 7));
Assert.IsFalse(graph.ContainsEdge(1, 5));
Assert.IsFalse(graph.ContainsEdge(1, 8));
Assert.IsFalse(graph.ContainsEdge(2, 4));
Assert.IsFalse(graph.ContainsEdge(2, 7));
Assert.IsFalse(graph.ContainsEdge(2, 8));
Assert.IsFalse(graph.ContainsEdge(3, 4));
Assert.IsFalse(graph.ContainsEdge(3, 5));
Assert.IsFalse(graph.ContainsEdge(3, 7));
Assert.IsFalse(graph.ContainsEdge(3, 8));
Assert.IsFalse(graph.ContainsEdge(4, 2));
Assert.IsFalse(graph.ContainsEdge(4, 3));
Assert.IsFalse(graph.ContainsEdge(4, 5));
Assert.IsFalse(graph.ContainsEdge(4, 8));
Assert.IsFalse(graph.ContainsEdge(5, 1));
Assert.IsFalse(graph.ContainsEdge(5, 3));
Assert.IsFalse(graph.ContainsEdge(5, 4));
Assert.IsFalse(graph.ContainsEdge(5, 6));
Assert.IsFalse(graph.ContainsEdge(6, 1));
Assert.IsFalse(graph.ContainsEdge(6, 5));
Assert.IsFalse(graph.ContainsEdge(6, 7));
Assert.IsFalse(graph.ContainsEdge(6, 8));
Assert.IsFalse(graph.ContainsEdge(7, 1));
Assert.IsFalse(graph.ContainsEdge(7, 2));
Assert.IsFalse(graph.ContainsEdge(7, 3));
Assert.IsFalse(graph.ContainsEdge(7, 6));
Assert.IsFalse(graph.ContainsEdge(8, 1));
Assert.IsFalse(graph.ContainsEdge(8, 2));
Assert.IsFalse(graph.ContainsEdge(8, 3));
Assert.IsFalse(graph.ContainsEdge(8, 4));
Assert.IsFalse(graph.ContainsEdge(8, 6));
}