/// <summary>
/// Remove an edge
/// Deinitialize colored graph
/// If the edge does not exist in the graph throws GraphEdgeDoesntExistException
/// </summary>
/// <param name="edge">edge</param>
public void EdgeDelete(IEdgeInterface edge)
{
if (!ExistsEdge(edge))
{
throw new MyException.GraphException.GraphEdgeDoesntExistException();
}
// Variable
adjacencyList.TryGetValue(ConvertVertexToVertexExtended(edge.GetVertex1()), out HashSet <VertexExtended> neighbooursHashSet);
neighbooursHashSet.Remove(ConvertVertexToVertexExtended(edge.GetVertex2()));
adjacencyList.TryGetValue(ConvertVertexToVertexExtended(edge.GetVertex2()), out neighbooursHashSet);
neighbooursHashSet.Remove(ConvertVertexToVertexExtended(edge.GetVertex1()));
SetCanDeIncreaseCountEdges(true);
GetGraphProperty().DecrementCountEdges();
SetCanDeIncreaseCountEdges(false);
// ColoredGraph
if (coloredGraph.GetIsInitializedColoredGraph())
{
coloredGraph.DeinitializationColoredGraph();
}
// GraphProperty
GetGraphProperty().EdgeDelete(edge);
}
public bool Equals(IEdgeInterface edge)
{
if ((edge.GetVertex1().Equals(vertex1) && edge.GetVertex2().Equals(vertex2)) ||
(edge.GetVertex1().Equals(vertex2) && edge.GetVertex2().Equals(vertex1)))
{
return(true);
}
return(false);
}
/// <summary>
/// Return true if an edge exists in the graph, otherwise false
/// Time complexity: O(1)
/// </summary>
/// <param name="edge">edge</param>
/// <returns>true if the edge exists in the graph, otherwise false</returns>
public bool ExistsEdge(IEdgeInterface edge)
{
if (!ExistsVertex(edge.GetVertex1()) || !ExistsVertex(edge.GetVertex2()))
{
return(false);
}
adjacencyList.TryGetValue(ConvertVertexToVertexExtended(edge.GetVertex1()), out HashSet <VertexExtended> neighboursList);
if (neighboursList == null)
{
return(false);
}
return(neighboursList.Contains(ConvertVertexToVertexExtended(edge.GetVertex2())));
}
/// <summary>
/// Contract an edge
/// Deinitialize coloredGraph
/// If the edge does not exist in the graph throws GraphEdgeDoesntExistException
/// </summary>
/// <param name="edge">edge</param>
public void EdgeContraction(IEdgeInterface edge)
{
if (!ExistsEdge(edge))
{
throw new MyException.GraphException.GraphEdgeDoesntExistException();
}
// Variable
int neighbours1Count, neighbours2Count, neighboursCount;
List <IVertexInterface> neighboursVertex1List, neighboursVertex2List, neighboursList;
EdgeDelete(edge);
neighboursVertex1List = Neighbours(edge.GetVertex1());
neighboursVertex2List = Neighbours(edge.GetVertex2());
neighbours1Count = neighboursVertex1List.Count;
neighbours2Count = neighboursVertex2List.Count;
neighboursList = neighboursVertex1List.Union(neighboursVertex2List).ToList();
neighboursCount = neighboursList.Count;
IVertexInterface newVertex = new Vertex(edge.GetVertex1().GetUserName() + edge.GetVertex2().GetUserName());
// Add vertex
VertexAdd(newVertex);
// Delete vertices
VertexDelete(edge.GetVertex1());
VertexDelete(edge.GetVertex2());
// Add edges
foreach (IVertexInterface neighbour in neighboursList)
{
EdgeAdd(new Edge(newVertex, neighbour));
}
// ColoredGraph
if (coloredGraph.GetIsInitializedColoredGraph())
{
coloredGraph.DeinitializationColoredGraph();
}
// GraphProperty
GetGraphProperty().EdgeContraction(edge);
}
/// <summary>
/// Add a new edge
/// If any vertex does not exist throws GraphVertexDoesntExist
/// If vertex1 = vertex2 throws GraphInvalidVertexException
/// If the edge already exists throws GraphDupliciteEdge
/// </summary>
/// <param name="vertex1">first vertex</param>
/// <param name="vertex2">second vertex</param>
protected void AddEdgeToAdjacencyList(IEdgeInterface edge)
{
// Variable
IVertexInterface vertex;
IVertexInterface vertex1 = edge.GetVertex1();
IVertexInterface vertex2 = edge.GetVertex2();
// If vertex1 is vertex2
if (vertex1 == vertex2)
{
throw new MyException.GraphException.GraphInvalidVertexException();
}
// Symmetry
for (int i = 0; i < 2; i++)
{
if (!adjacencyList.TryGetValue(ConvertVertexToVertexExtended(vertex1), out HashSet <VertexExtended> adjacencyHashSetVertexExtended))
{
throw new MyException.GraphException.GraphVertexDoesntExistException();
}
if (adjacencyHashSetVertexExtended.Contains(ConvertVertexToVertexExtended(vertex2)))
{
return;
}
// throw new MyException.GraphDupliciteEdge();
adjacencyHashSetVertexExtended.Add(ConvertVertexToVertexExtended(vertex2));
// Swap variables
vertex = vertex1;
vertex1 = vertex2;
vertex2 = vertex;
}
SetCanDeIncreaseCountEdges(true);
graphProperty.IncrementCountEdges();
SetCanDeIncreaseCountEdges(false);
}
/// <summary>
/// Subdivide an edge
/// Deinitialize colored graph
/// If the edge does not exist in the graph throws GraphEdgeDoesntExistException
/// </summary>
/// <param name="edge">edge</param>
public void EdgeSubdivision(IEdgeInterface edge)
{
if (!ExistsEdge(edge))
{
throw new MyException.GraphException.GraphEdgeDoesntExistException();
}
EdgeDelete(edge);
IVertexInterface newVertex = new Vertex();
VertexAdd(newVertex);
EdgeAdd(new Edge(edge.GetVertex1(), newVertex));
EdgeAdd(new Edge(newVertex, edge.GetVertex2()));
// ColoredGraph
if (coloredGraph.GetIsInitializedColoredGraph())
{
coloredGraph.DeinitializationColoredGraph();
}
// GraphProperty
GetGraphProperty().EdgeSubdivision(edge);
}
public void EdgeSubdivision(IEdgeInterface edge)
{
// Variable
IVertexInterface vertex1 = graph.GetVertexByUserName(edge.GetVertex1().GetUserName());
IVertexInterface vertex2 = graph.GetVertexByUserName(edge.GetVertex2().GetUserName());
// Component
if (componentsList != null)
{
if (countComponents > 1)
{
// Get component which contains the vertex
IGraphInterface myComponentGraph = null;
foreach (IGraphInterface componentGraph in componentsList)
{
if (componentGraph.ExistsUserName(vertex1.GetUserName()))
{
myComponentGraph = componentGraph;
break;
}
}
myComponentGraph.EdgeSubdivision(new Edge(myComponentGraph.GetVertexByUserName(vertex1.GetUserName()), myComponentGraph.GetVertexByUserName(vertex2.GetUserName())));
}
else
{
//componentsList = componentsList;
//countComponents = countComponents;
//isConnected = isConnected;
}
}
// Properties
//isCyclic = isCyclic;
//isEulerian = isEulerian;
// IntegralInvariants
//circuitRank = circuitRank;
if (girth.HasValue && girth > 2)
{
girth = null;
}
cayleysFormula = null;
// SequencesAndPolynomialsOthers
if (isConnected != null && !(bool)isConnected)
{
spanningTreeBFS = spanningTreeBFS = new List <IEdgeInterface>();
}
else
{
spanningTreeBFS = null;
}
matching = null;
cutVertices = null;
bridges = null;
// DegreeSequence
degreeSequence = null;
maximumVertexDegree = null;
minimumVertexDegree = null;
averageVertexDegree = null;
medianVertexDegree = null;
isDegreeSequenceSorted = false;
isRegular = null;
// Chordal
if (isChordal.HasValue && (bool)isChordal)
{
isChordal = null;
perfectEliminationOrderingList = null;
righNeighborhoodDictionary = null;
}
// GraphClass
graphClass = GraphClass.GraphClass.GraphClassEnum.undefined;
}
public void EdgeDelete(IEdgeInterface edge)
{
// Variable
IVertexInterface vertex1 = graph.GetVertexByUserName(edge.GetVertex1().GetUserName());
IVertexInterface vertex2 = graph.GetVertexByUserName(edge.GetVertex2().GetUserName());
// Component
if (componentsList != null)
{
if (countComponents > 1)
{
// Get component which contains the vertex
IGraphInterface myComponentGraph = null;
foreach (IGraphInterface componentGraph in componentsList)
{
if (componentGraph.ExistsUserName(vertex1.GetUserName()))
{
myComponentGraph = componentGraph;
break;
}
}
myComponentGraph.EdgeDelete(new Edge(myComponentGraph.GetVertexByUserName(vertex1.GetUserName()), myComponentGraph.GetVertexByUserName(vertex2.GetUserName())));
componentsList = null;
countComponents = null;
isConnected = null;
}
else
{
if (bridges != null)
{
// The edge is a bridge
if (bridges.Any(e => ((e.GetVertex1().Equals(vertex1) && e.GetVertex2().Equals(vertex2)) ||
(e.GetVertex1().Equals(vertex2) && e.GetVertex2().Equals(vertex1)))))
{
componentsList = null;
countComponents = null;
isConnected = null;
}
// The edge isn't a bridge
else
{
//componentsList = componentsList;
//countComponents = countComponents;
//isConnected = isConnected;
}
}
}
}
// Properties
if (isCyclic != null && !(bool)isCyclic)
{
isCyclic = false;
}
else
{
isCyclic = null;
}
if (isEulerian == EulerianGraphEnum.eulerian)
{
isEulerian = EulerianGraphEnum.semiEulerian;
}
else
{
isEulerian = EulerianGraphEnum.undefined;
}
// IntegralInvariants
circuitRank = null;
if (girth != null && girth > 2)
{
girth = null;
}
//cayleysFormula = cayleysFormula;
// SequencesAndPolynomialsOthers
if (isConnected != null && !(bool)isConnected)
{
spanningTreeBFS = spanningTreeBFS = new List <IEdgeInterface>();
}
else
{
spanningTreeBFS = null;
}
matching = null;
cutVertices = null;
bridges = null;
// DegreeSequence
if (degreeSequence != null)
{
int countNeighbourVertex1 = graph.CountNeighbours(vertex1);
int countNeighbourVertex2 = graph.CountNeighbours(vertex2);
if (!isDegreeSequenceSorted)
{
// Variable
int index1, index2;
index1 = degreeSequenceInt.FindIndex(i => i == (countNeighbourVertex1 + 1));
degreeSequenceInt[index1] = countNeighbourVertex1;
index2 = degreeSequenceInt.FindIndex(i => i == (countNeighbourVertex2 + 1));
degreeSequenceInt[index2] = countNeighbourVertex2;
index1 = degreeSequence.FindIndex(p => p.Key == vertex1);
index2 = degreeSequence.FindIndex(p => p.Key == vertex2);
degreeSequence[index1] = new KeyValuePair <IVertexInterface, int>(vertex1, countNeighbourVertex1);
degreeSequence[index2] = new KeyValuePair <IVertexInterface, int>(vertex2, countNeighbourVertex2);
}
else
{
degreeSequence = null;
degreeSequenceVertex = null;
degreeSequenceInt = null;
isDegreeSequenceSorted = false;
}
if (minimumVertexDegree.HasValue)
{
if (countNeighbourVertex1 < minimumVertexDegree)
{
minimumVertexDegree = countNeighbourVertex1;
}
if (countNeighbourVertex2 < minimumVertexDegree)
{
minimumVertexDegree = countNeighbourVertex2;
}
}
if (maximumVertexDegree.HasValue)
{
if (((countNeighbourVertex1 + 1) == maximumVertexDegree) ||
((countNeighbourVertex2 + 1) == maximumVertexDegree))
{
maximumVertexDegree = null;
}
}
averageVertexDegree = null;
medianVertexDegree = null;
isRegular = null;
}
// Chordal
isChordal = null;
perfectEliminationOrderingList = null;
righNeighborhoodDictionary = null;
// GraphClass
graphClass = GraphClass.GraphClass.GraphClassEnum.undefined;
}