Class SoftMutableBidirectionalGraph<TVertex, TEdge>

Bidirectional graph that implements soft mutability.

Inheritance

System.Object

QuikGraph.BidirectionalGraph<TVertex, TEdge>

SoftMutableBidirectionalGraph<TVertex, TEdge>

Implements

QuikGraph.IEdgeListAndIncidenceGraph<TVertex, TEdge>

QuikGraph.IMutableBidirectionalGraph<TVertex, TEdge>

QuikGraph.IMutableVertexAndEdgeListGraph<TVertex, TEdge>

QuikGraph.IMutableVertexListGraph<TVertex, TEdge>

QuikGraph.IMutableIncidenceGraph<TVertex, TEdge>

QuikGraph.IMutableVertexAndEdgeSet<TVertex, TEdge>

QuikGraph.IMutableVertexSet<TVertex>

QuikGraph.IMutableEdgeListGraph<TVertex, TEdge>

QuikGraph.IMutableGraph<TVertex, TEdge>

System.ICloneable

ISoftMutableGraph<TVertex, TEdge>

QuikGraph.IBidirectionalGraph<TVertex, TEdge>

QuikGraph.IVertexAndEdgeListGraph<TVertex, TEdge>

QuikGraph.IVertexListGraph<TVertex, TEdge>

QuikGraph.IEdgeListGraph<TVertex, TEdge>

QuikGraph.IVertexSet<TVertex>

QuikGraph.IEdgeSet<TVertex, TEdge>

QuikGraph.IBidirectionalIncidenceGraph<TVertex, TEdge>

QuikGraph.IIncidenceGraph<TVertex, TEdge>

QuikGraph.IImplicitGraph<TVertex, TEdge>

QuikGraph.IGraph<TVertex, TEdge>

QuikGraph.IImplicitVertexSet<TVertex>

Inherited Members

QuikGraph.BidirectionalGraph<TVertex, TEdge>.ContainsVertex(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.ContainsEdge(TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.ContainsEdge(TVertex, TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.IsOutEdgesEmpty(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OutDegree(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OutEdges(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.TryGetOutEdges(TVertex, System.Collections.Generic.IEnumerable<TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OutEdge(TVertex, System.Int32)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.TryGetEdge(TVertex, TVertex, TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.TryGetEdges(TVertex, TVertex, System.Collections.Generic.IEnumerable<TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.IsInEdgesEmpty(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.InDegree(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.InEdges(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.TryGetInEdges(TVertex, System.Collections.Generic.IEnumerable<TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.InEdge(TVertex, System.Int32)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.Degree(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.Clear()

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AddVertex(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AddVertexRange(System.Collections.Generic.IEnumerable<TVertex>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OnVertexAdded(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.RemoveVertex(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OnVertexRemoved(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.RemoveVertexIf(QuikGraph.VertexPredicate<TVertex>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AddEdge(TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AddEdgeRange(System.Collections.Generic.IEnumerable<TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OnEdgeAdded(TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.RemoveEdge(TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.OnEdgeRemoved(TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.RemoveEdgeIf(QuikGraph.EdgePredicate<TVertex, TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AddVerticesAndEdge(TEdge)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AddVerticesAndEdgeRange(System.Collections.Generic.IEnumerable<TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.RemoveOutEdgeIf(TVertex, QuikGraph.EdgePredicate<TVertex, TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.ClearOutEdges(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.TrimEdgeExcess()

QuikGraph.BidirectionalGraph<TVertex, TEdge>.RemoveInEdgeIf(TVertex, QuikGraph.EdgePredicate<TVertex, TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.ClearInEdges(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.ClearEdges(TVertex)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.MergeVertex(TVertex, QuikGraph.EdgeFactory<TVertex, TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.MergeVerticesIf(QuikGraph.VertexPredicate<TVertex>, QuikGraph.EdgeFactory<TVertex, TEdge>)

QuikGraph.BidirectionalGraph<TVertex, TEdge>.Clone()

QuikGraph.BidirectionalGraph<TVertex, TEdge>.System.ICloneable.Clone()

QuikGraph.BidirectionalGraph<TVertex, TEdge>.EdgeCapacity

QuikGraph.BidirectionalGraph<TVertex, TEdge>.VertexType

QuikGraph.BidirectionalGraph<TVertex, TEdge>.EdgeType

QuikGraph.BidirectionalGraph<TVertex, TEdge>.IsDirected

QuikGraph.BidirectionalGraph<TVertex, TEdge>.AllowParallelEdges

QuikGraph.BidirectionalGraph<TVertex, TEdge>.IsVerticesEmpty

QuikGraph.BidirectionalGraph<TVertex, TEdge>.VertexCount

QuikGraph.BidirectionalGraph<TVertex, TEdge>.Vertices

QuikGraph.BidirectionalGraph<TVertex, TEdge>.IsEdgesEmpty

QuikGraph.BidirectionalGraph<TVertex, TEdge>.EdgeCount

QuikGraph.BidirectionalGraph<TVertex, TEdge>.Edges

QuikGraph.BidirectionalGraph<TVertex, TEdge>.VertexAdded

QuikGraph.BidirectionalGraph<TVertex, TEdge>.VertexRemoved

QuikGraph.BidirectionalGraph<TVertex, TEdge>.EdgeAdded

QuikGraph.BidirectionalGraph<TVertex, TEdge>.EdgeRemoved

System.Object.Equals(System.Object)

System.Object.Equals(System.Object, System.Object)

System.Object.GetHashCode()

System.Object.GetType()

System.Object.MemberwiseClone()

System.Object.ReferenceEquals(System.Object, System.Object)

System.Object.ToString()

Namespace: GraphShape

Assembly: GraphShape.dll

Syntax

[Serializable]
public class SoftMutableBidirectionalGraph<TVertex, TEdge> : BidirectionalGraph<TVertex, TEdge>, IEdgeListAndIncidenceGraph<TVertex, TEdge>, IMutableBidirectionalGraph<TVertex, TEdge>, IMutableVertexAndEdgeListGraph<TVertex, TEdge>, IMutableVertexListGraph<TVertex, TEdge>, IMutableIncidenceGraph<TVertex, TEdge>, IMutableVertexAndEdgeSet<TVertex, TEdge>, IMutableVertexSet<TVertex>, IMutableEdgeListGraph<TVertex, TEdge>, IMutableGraph<TVertex, TEdge>, ICloneable, ISoftMutableGraph<TVertex, TEdge>, IBidirectionalGraph<TVertex, TEdge>, IVertexAndEdgeListGraph<TVertex, TEdge>, IVertexListGraph<TVertex, TEdge>, IEdgeListGraph<TVertex, TEdge>, IVertexSet<TVertex>, IEdgeSet<TVertex, TEdge>, IBidirectionalIncidenceGraph<TVertex, TEdge>, IIncidenceGraph<TVertex, TEdge>, IImplicitGraph<TVertex, TEdge>, IGraph<TVertex, TEdge>, IImplicitVertexSet<TVertex> where TEdge : IEdge<TVertex>

Type Parameters

Name	Description
TVertex	Vertex type.
TEdge	Edge type.

Constructors

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SoftMutableBidirectionalGraph()

Initializes a new instance of the SoftMutableHierarchicalGraph<TVertex, TEdge> class.

Declaration

public SoftMutableBidirectionalGraph()

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SoftMutableBidirectionalGraph(Boolean)

Initializes a new instance of the SoftMutableHierarchicalGraph<TVertex, TEdge> class.

Declaration

public SoftMutableBidirectionalGraph(bool allowParallelEdges)

Parameters

Type	Name	Description
System.Boolean	allowParallelEdges	Indicates if parallel edges are allowed.

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SoftMutableBidirectionalGraph(Boolean, Int32)

Initializes a new instance of the SoftMutableHierarchicalGraph<TVertex, TEdge> class.

Declaration

public SoftMutableBidirectionalGraph(bool allowParallelEdges, int capacity)

Parameters

Type	Name	Description
System.Boolean	allowParallelEdges	Indicates if parallel edges are allowed.
System.Int32	capacity	Vertex capacity.

Properties

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HiddenEdgeCount

Gets the number of hidden edges.

Declaration

public int HiddenEdgeCount { get; }

Property Value

Type	Description
System.Int32

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HiddenEdges

Gets the set of hidden edges.

Declaration

public IEnumerable<TEdge> HiddenEdges { get; }

Property Value

Type	Description
System.Collections.Generic.IEnumerable<TEdge>

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HiddenVertexCount

Gets the number of hidden vertices.

Declaration

public int HiddenVertexCount { get; }

Property Value

Type	Description
System.Int32

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HiddenVertices

Gets the set of hidden vertices.

Declaration

public IEnumerable<TVertex> HiddenVertices { get; }

Property Value

Type	Description
System.Collections.Generic.IEnumerable<TVertex>

Methods

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HiddenEdgeCountOf(TVertex)

Gets the number of hidden edges connected to the given vertex.

Declaration

public int HiddenEdgeCountOf(TVertex vertex)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to check.

Returns

Type	Description
System.Int32	Number of hidden edges.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

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HiddenEdgesOf(TVertex)

Gets the hidden edges connected to the given vertex.

Declaration

public IEnumerable<TEdge> HiddenEdgesOf(TVertex vertex)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to check.

Returns

Type	Description
System.Collections.Generic.IEnumerable<TEdge>	Hidden edges.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

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HideEdge(TEdge)

Hides the given edge.

Declaration

public bool HideEdge(TEdge edge)

Parameters

Type	Name	Description
TEdge	edge	Edge to hide.

Returns

Type	Description
System.Boolean	True if the edge is hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`edge` is null.

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HideEdge(TEdge, String)

Hides the given edge, and gives a tag associated to this hidden edge.

Declaration

public bool HideEdge(TEdge edge, string tag)

Parameters

Type	Name	Description
TEdge	edge	Edge to hide.
System.String	tag	Tag associated to the hidden edge.

Returns

Type	Description
System.Boolean	True if the edge is hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`edge` is null.
System.ArgumentNullException	`tag` is null.

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HideEdges(IEnumerable<TEdge>)

Hides the given set of edges.

Declaration

public void HideEdges(IEnumerable<TEdge> edges)

Parameters

Type	Name	Description
System.Collections.Generic.IEnumerable<TEdge>	edges	Edges to hide.

Exceptions

Type	Condition
System.ArgumentNullException	`edges` is null or at least one of them is null.

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HideEdges(IEnumerable<TEdge>, String)

Hides the given set of edges, and gives a tag associated to this hidden edges.

Declaration

public void HideEdges(IEnumerable<TEdge> edges, string tag)

Parameters

Type	Name	Description
System.Collections.Generic.IEnumerable<TEdge>	edges	Edges to hide.
System.String	tag	Tag associated to the hidden edges.

Exceptions

Type	Condition
System.ArgumentNullException	`edges` is null or at least one of them is null.
System.ArgumentNullException	`tag` is null.

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HideEdgesIf(Predicate<TEdge>, String)

Hides edges matching the given predicate, and gives a tag associated to these hidden edges.

Declaration

public void HideEdgesIf(Predicate<TEdge> predicate, string tag)

Parameters

Type	Name	Description
System.Predicate<TEdge>	predicate	Hide predicate.
System.String	tag	Tag associated to the hidden edges.

Exceptions

Type	Condition
System.ArgumentNullException	`predicate` is null.
System.ArgumentNullException	`tag` is null.

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HideVertex(TVertex)

Hides the given vertex.

Declaration

public bool HideVertex(TVertex vertex)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to hide.

Returns

Type	Description
System.Boolean	True if the vertex is hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

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HideVertex(TVertex, String)

Hides the given vertex, and gives a tag associated to this hidden vertex.

Declaration

public bool HideVertex(TVertex vertex, string tag)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to hide.
System.String	tag	Tag associated to the hidden vertex.

Returns

Type	Description
System.Boolean	True if the vertex is hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
System.ArgumentNullException	`tag` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

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HideVertices(IEnumerable<TVertex>)

Hides the given set of vertices.

Declaration

public void HideVertices(IEnumerable<TVertex> vertices)

Parameters

Type	Name	Description
System.Collections.Generic.IEnumerable<TVertex>	vertices	Vertices to hide.

Exceptions

Type	Condition
System.ArgumentNullException	`vertices` is null or at least one of them is null.
QuikGraph.VertexNotFoundException	At least one of `vertices` is not part of the graph.

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HideVertices(IEnumerable<TVertex>, String)

Hides the given set of vertices, and gives a tag associated to these hidden vertices.

Declaration

public void HideVertices(IEnumerable<TVertex> vertices, string tag)

Parameters

Type	Name	Description
System.Collections.Generic.IEnumerable<TVertex>	vertices	Vertices to hide.
System.String	tag	Tag associated to the hidden vertices.

Exceptions

Type	Condition
System.ArgumentNullException	`vertices` is null or at least one of them is null.
QuikGraph.VertexNotFoundException	At least one of `vertices` is not part of the graph.
System.ArgumentNullException	`tag` is null.

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HideVerticesIf(Predicate<TVertex>, String)

Hides vertices matching the given predicate, and gives a tag associated to these hidden vertices.

Declaration

public void HideVerticesIf(Predicate<TVertex> predicate, string tag)

Parameters

Type	Name	Description
System.Predicate<TVertex>	predicate	Hide predicate.
System.String	tag	Tag associated to the hidden vertices.

Exceptions

Type	Condition
System.ArgumentNullException	`predicate` is null.
System.ArgumentNullException	`tag` is null.

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IsHiddenEdge(TEdge)

Checks if the given edge is hidden.

Declaration

public bool IsHiddenEdge(TEdge edge)

Parameters

Type	Name	Description
TEdge	edge	Edge to check.

Returns

Type	Description
System.Boolean	True if the edge is hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`edge` is null.

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IsHiddenVertex(TVertex)

Checks if the given vertex is hidden.

Declaration

public bool IsHiddenVertex(TVertex vertex)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to check.

Returns

Type	Description
System.Boolean	True if the vertex is hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

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Unhide(String)

Un-hides all vertices and edges that were hidden with the given tag.

Declaration

public bool Unhide(string tag)

Parameters

Type	Name	Description
System.String	tag	Tag to un-hide.

Returns

Type	Description
System.Boolean	True if the tag has been un-hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`tag` is null.

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UnhideAll()

Un-hides all hidden vertices and edges.

Declaration

public bool UnhideAll()

Returns

Type	Description
System.Boolean	True if operation succeed, false otherwise.

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UnhideEdge(TEdge)

Un-hides the given edge if it is hidden.

Declaration

public bool UnhideEdge(TEdge edge)

Parameters

Type	Name	Description
TEdge	edge	Edge to un-hide.

Returns

Type	Description
System.Boolean	True if the edge has been un-hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`edge` is null.

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UnhideEdges(IEnumerable<TEdge>)

Un-hides the given edges if they are hidden.

Declaration

public void UnhideEdges(IEnumerable<TEdge> edges)

Parameters

Type	Name	Description
System.Collections.Generic.IEnumerable<TEdge>	edges	Edges to un-hide.

Exceptions

Type	Condition
System.ArgumentNullException	`edges` is null or at least one of them is null.

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UnhideEdgesIf(Predicate<TEdge>)

Un-hides edges matching the given predicate.

Declaration

public void UnhideEdgesIf(Predicate<TEdge> predicate)

Parameters

Type	Name	Description
System.Predicate<TEdge>	predicate	Un-hide predicate.

Exceptions

Type	Condition
System.ArgumentNullException	`predicate` is null.

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UnhideVertex(TVertex)

Un-hides the given vertex if it is hidden.

Declaration

public bool UnhideVertex(TVertex vertex)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to un-hide.

Returns

Type	Description
System.Boolean	True if the vertex has been un-hidden, false otherwise.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

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UnhideVertexAndEdges(TVertex)

Un-hides the given vertex and its connected edges if they are hidden.

Declaration

public void UnhideVertexAndEdges(TVertex vertex)

Parameters

Type	Name	Description
TVertex	vertex	Vertex to un-hide.

Exceptions

Type	Condition
System.ArgumentNullException	`vertex` is null.
QuikGraph.VertexNotFoundException	`vertex` is not part of the graph.

Events

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EdgeHidden

Fired when an edge has been hidden.

Declaration

public event EdgeAction<TVertex, TEdge> EdgeHidden

Event Type

Type	Description
QuikGraph.EdgeAction<TVertex, TEdge>

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EdgeUnhidden

Fired when an edge has been unhidden.

Declaration

public event EdgeAction<TVertex, TEdge> EdgeUnhidden

Event Type

Type	Description
QuikGraph.EdgeAction<TVertex, TEdge>

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VertexHidden

Fired when a vertex has been hidden.

Declaration

public event VertexAction<TVertex> VertexHidden

Event Type

Type	Description
QuikGraph.VertexAction<TVertex>

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VertexUnhidden

Fired when a vertex has been unhidden.

Declaration

public event VertexAction<TVertex> VertexUnhidden

Event Type

Type	Description
QuikGraph.VertexAction<TVertex>

Implements

QuikGraph.IEdgeListAndIncidenceGraph<TVertex, TEdge>

QuikGraph.IMutableBidirectionalGraph<TVertex, TEdge>

QuikGraph.IMutableVertexAndEdgeListGraph<TVertex, TEdge>

QuikGraph.IMutableVertexListGraph<TVertex, TEdge>

QuikGraph.IMutableIncidenceGraph<TVertex, TEdge>

QuikGraph.IMutableVertexAndEdgeSet<TVertex, TEdge>

QuikGraph.IMutableVertexSet<TVertex>

QuikGraph.IMutableEdgeListGraph<TVertex, TEdge>

QuikGraph.IMutableGraph<TVertex, TEdge>

System.ICloneable

ISoftMutableGraph<TVertex, TEdge>

QuikGraph.IBidirectionalGraph<TVertex, TEdge>

QuikGraph.IVertexAndEdgeListGraph<TVertex, TEdge>

QuikGraph.IVertexListGraph<TVertex, TEdge>

QuikGraph.IEdgeListGraph<TVertex, TEdge>

QuikGraph.IVertexSet<TVertex>

QuikGraph.IEdgeSet<TVertex, TEdge>

QuikGraph.IBidirectionalIncidenceGraph<TVertex, TEdge>

QuikGraph.IIncidenceGraph<TVertex, TEdge>

QuikGraph.IImplicitGraph<TVertex, TEdge>

QuikGraph.IGraph<TVertex, TEdge>

QuikGraph.IImplicitVertexSet<TVertex>

Extension Methods

GraphHelpers.GetNeighbors<TVertex, TEdge>(IBidirectionalGraph<TVertex, TEdge>, TVertex)

GraphHelpers.GetOutNeighbors<TVertex, TEdge>(IVertexAndEdgeListGraph<TVertex, TEdge>, TVertex)

GraphHelpers.GetEdgesBetween<TVertex, TEdge>(IVertexAndEdgeListGraph<TVertex, TEdge>, TVertex[], TVertex[])

GraphHelpers.GetDistances<TVertex, TEdge, TGraph>(TGraph)

GraphHelpers.GetDiameter<TVertex, TEdge, TGraph>(TGraph)

GraphHelpers.GetDiameter<TVertex, TEdge, TGraph>(TGraph, out Double[,])

GraphHelpers.Convert<TOldVertex, TOldEdge, TNewVertex, TNewEdge, TNewGraph>(IVertexAndEdgeListGraph<TOldVertex, TOldEdge>, TNewGraph, Func<TOldVertex, TNewVertex>, Func<TOldEdge, TNewEdge>)

GraphHelpers.Convert<TVertex, TOldEdge, TNewEdge, TNewGraph>(IVertexAndEdgeListGraph<TVertex, TOldEdge>, TNewGraph, Func<TOldEdge, TNewEdge>)

GraphHelpers.Convert<TVertex, TEdge, TNewGraph>(IVertexAndEdgeListGraph<TVertex, TEdge>, TNewGraph)

GraphHelpers.Convert<TOldVertex, TOldEdge, TNewVertex, TNewEdge>(IVertexAndEdgeListGraph<TOldVertex, TOldEdge>, Func<TOldVertex, TNewVertex>, Func<TOldEdge, TNewEdge>)

GraphHelpers.Convert<TVertex, TOldEdge, TNewEdge>(IVertexAndEdgeListGraph<TVertex, TOldEdge>, Func<TOldEdge, TNewEdge>)

GraphHelpers.CopyToBidirectionalGraph<TVertex, TEdge>(IVertexAndEdgeListGraph<TVertex, TEdge>)