GAP (digraphs) - Index

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### Index

`<` (for digraphs) 4.1
`=` (for digraphs) 4.1
`AdjacencyMatrix` 5.2-1
`AdjacencyMatrixMutableCopy` 5.2-1
`AdjacencyMatrixUpperTriangleLineDecoder` 9.2-10
`AndrasfaiGraph` 3.5-1
`ArticulationPoints` 5.4-14
`AsBinaryRelation` 3.2-1
`AsDigraph`, for a binary relation 3.2-2
`AsGraph` 3.2-4
`AsMonoid` 5.6-1
`AsSemigroup`, for a filter and a digraph 5.6-1
for a filter, semilattice digraph, and two lists 5.6-2
`AsTransformation` 3.2-5
`AutomorphismGroup`, for a digraph 7.2-2
for a digraph and a homogeneous list 7.2-5
for a digraph, homogeneous list, and list 7.2-6
`BananaTree` 3.5-2
`BinaryTree` 3.5-3
`BinomialTreeGraph` 3.5-4
`BipartiteDoubleDigraph` 3.3-43
`BishopGraph` 3.5-5
`BishopsGraph` 3.5-5
`BlissAutomorphismGroup`, for a digraph 7.2-3
for a digraph and homogenous list 7.2-3
for a digraph, homogenous list, and list 7.2-3
`BlissCanonicalDigraph` 7.2-9
`BlissCanonicalLabelling`, for a digraph 7.2-7
for a digraph and a list 7.2-8
`BondyGraph` 3.5-6
`BookGraph` 3.5-7
`BooleanAdjacencyMatrix` 5.2-3
`BooleanAdjacencyMatrixMutableCopy` 5.2-3
`Bridges` 5.4-15
`CayleyDigraph` 3.1-12
`ChainDigraph` 3.5-9
`CharacteristicPolynomial` 5.2-2
`ChromaticNumber` 7.3-17
`CirculantGraph` 3.5-10
`CliqueNumber` 8.1-5
`CliquesFinder` 8.1-2
`CompleteBipartiteDigraph` 3.5-12
`CompleteDigraph` 3.5-11
`CompleteMultipartiteDigraph` 3.5-13
`ConormalProduct` 3.3-33
`CycleDigraph` 3.5-14
`CycleGraph` 3.5-15
`DegreeMatrix` 5.2-15
`Digraph` 3.1-7
for a group, list, function, and function 3.1-7
for a list and function 3.1-7
`Digraph6String` 9.2-3
`DigraphAddAllLoops` 3.3-44
`DigraphAddAllLoopsAttr` 3.3-44
`DigraphAddEdge`, for a digraph and an edge 3.3-17
for a digraph, source, and range 3.3-17
`DigraphAddEdgeOrbit` 3.3-18
`DigraphAddEdges` 3.3-19
`DigraphAddVertex` 3.3-15
`DigraphAddVertices`, for a digraph and a list of labels 3.3-16
for a digraph and an integer 3.3-16
`DigraphAdjacencyFunction` 5.2-4
`DigraphAllSimpleCircuits` 5.4-28
`DigraphBicomponents` 5.4-13
`DigraphByAdjacencyMatrix` 3.1-8
`DigraphByEdges` 3.1-9
`DigraphByInNeighbors` 3.1-11
`DigraphByInNeighbours` 3.1-11
`DigraphByOutNeighboursType` 3.1-6
`DigraphCartesianProduct`, for a list of digraphs 3.3-31
for a positive number of digraphs 3.3-31
`DigraphCartesianProductProjections` 3.3-38
`DigraphClique` 8.1-3
`DigraphCliques` 8.1-4
`DigraphCliquesReps` 8.1-4
`DigraphClosure` 3.3-46
`DigraphColouring`, for a digraph and a number of colours 7.3-14
`DigraphConnectedComponent` 5.4-10
`DigraphConnectedComponents` 5.4-9
`DigraphCopy` 3.3-1
`DigraphCopySameMutability` 3.3-1
`DigraphCore` 7.3-18
`DigraphCycle` 3.5-14
`DigraphDegeneracy` 5.4-31
`DigraphDegeneracyOrdering` 5.4-32
`DigraphDiameter` 5.4-1
`DigraphDijkstra`, for a source 5.4-35
for a source and target 5.4-35
`DigraphDirectProduct`, for a list of digraphs 3.3-32
for a positive number of digraphs 3.3-32
`DigraphDirectProductProjections` 3.3-39
`DigraphDisjointUnion`, for a list of digraphs 3.3-28
for an arbitrary number of digraphs 3.3-28
`DigraphDistanceSet`, for a digraph, a pos int, and a list 5.4-5
for a digraph, a pos int, and an int 5.4-5
`DigraphDual` 3.3-11
`DigraphDualAttr` 3.3-11
`DigraphEdgeLabel` 5.1-11
`DigraphEdgeLabels` 5.1-12
`DigraphEdges` 5.1-3
`DigraphEdgeUnion`, for a list of digraphs 3.3-29
for a positive number of digraphs 3.3-29
`DigraphEmbedding` 7.3-8
`DigraphEpimorphism` 7.3-6
`DigraphFamily` 3.1-6
`DigraphFile` 9.2-4
`DigraphFloydWarshall` 5.4-18
`DigraphFromDigraph6String` 9.2-2
`DigraphFromDiSparse6String` 9.2-2
`DigraphFromGraph6String` 9.2-2
`DigraphFromPlainTextString` 9.2-12
`DigraphFromSparse6String` 9.2-2
`DigraphGirth` 5.4-6
`DigraphGreedyColouring`, for a digraph 7.3-15
for a digraph and vertex order 7.3-15
for a digraph and vertex order function 7.3-15
`DigraphGroup` 7.2-10
`DigraphHasAVertex` 6.1-1
`DigraphHasLoops` 6.2-1
`DigraphHasNoVertices` 6.1-2
`DigraphHomomorphism` 7.3-2
`DigraphImmutableCopy` 3.3-1
`DigraphImmutableCopyIfImmutable` 3.3-2
`DigraphImmutableCopyIfMutable` 3.3-2
`DigraphIndependentSet` 8.2-2
`DigraphIndependentSets` 8.2-3
`DigraphIndependentSetsReps` 8.2-3
`DigraphInEdges` 5.1-13
`DigraphJoin`, for a list of digraphs 3.3-30
for a positive number of digraphs 3.3-30
`DigraphJoinTable` 6.3-4
`DigraphLayers` 5.4-30
`DigraphLongestDistanceFromVertex` 5.4-4
`DigraphLongestSimpleCircuit` 5.4-29
`DigraphLoops` 5.2-14
`DigraphMaximalClique` 8.1-3
`DigraphMaximalCliques` 8.1-4
`DigraphMaximalCliquesAttr` 8.1-4
`DigraphMaximalCliquesReps` 8.1-4
`DigraphMaximalCliquesRepsAttr` 8.1-4
`DigraphMaximalIndependentSet` 8.2-2
`DigraphMaximalIndependentSets` 8.2-3
`DigraphMaximalIndependentSetsAttr` 8.2-3
`DigraphMaximalIndependentSetsReps` 8.2-3
`DigraphMaximalIndependentSetsRepsAttr` 8.2-3
`DigraphMaximalMatching` 5.1-17
`DigraphMaximumMatching` 5.1-18
`DigraphMeetTable` 6.3-4
`DigraphMonomorphism` 7.3-4
`DigraphMutableCopy` 3.3-1
`DigraphMutableCopyIfImmutable` 3.3-2
`DigraphMutableCopyIfMutable` 3.3-2
`DigraphMycielskian` 3.3-47
`DigraphMycielskianAttr` 3.3-47
`DigraphNrConnectedComponents` 5.4-9
`DigraphNrEdges` 5.1-4
`DigraphNrLoops` 5.1-5
`DigraphNrStronglyConnectedComponents` 5.4-11
`DigraphNrVertices` 5.1-2
`DigraphOddGirth` 5.4-7
`DigraphOrbitReps` 7.2-12
`DigraphOrbits` 7.2-11
`DigraphOutEdges` 5.1-14
`DigraphPath` 5.4-22
`DigraphPeriod` 5.4-17
`DigraphPlainTextLineDecoder` 9.2-8
`DigraphPlainTextLineEncoder` 9.2-8
`DigraphRandomWalk` 5.4-24
`DigraphRange` 5.2-5
`DigraphReflexiveTransitiveClosure` 3.3-13
`DigraphReflexiveTransitiveClosureAttr` 3.3-13
`DigraphReflexiveTransitiveReduction` 3.3-14
`DigraphReflexiveTransitiveReductionAttr` 3.3-14
`DigraphRemoveAllMultipleEdges` 3.3-26
`DigraphRemoveAllMultipleEdgesAttr` 3.3-26
`DigraphRemoveEdge`, for a digraph and an edge 3.3-22
for a digraph, source, and range 3.3-22
`DigraphRemoveEdgeOrbit` 3.3-23
`DigraphRemoveEdges` 3.3-24
`DigraphRemoveLoops` 3.3-25
`DigraphRemoveLoopsAttr` 3.3-25
`DigraphRemoveVertex` 3.3-20
`DigraphRemoveVertices` 3.3-21
`DigraphReverse` 3.3-10
`DigraphReverseAttr` 3.3-10
`DigraphReverseEdge`, for a digraph and an edge 3.3-27
for a digraph, source, and range 3.3-27
`DigraphReverseEdges`, for a digraph and a list of edges 3.3-27
Digraphs package overview 1.
`DigraphSchreierVector` 7.2-13
`DigraphShortestDistance`, for a digraph and a list 5.4-2
for a digraph and two vertices 5.4-2
for a digraph, a list, and a list 5.4-2
`DigraphShortestDistances` 5.4-3
`DigraphShortestPath` 5.4-23
`DigraphShortestPathSpanningTree` 3.3-8
`DigraphSinks` 5.1-6
`DigraphsMakeDoc` 2.4-1
`DigraphSource` 5.2-5
`DigraphSources` 5.1-7
`DigraphsRespectsColouring` 7.3-12
`DigraphStabilizer` 7.2-14
`DigraphsTestExtreme` 2.5-3
`DigraphsTestInstall` 2.5-1
`DigraphsTestStandard` 2.5-2
`DigraphStronglyConnectedComponent` 5.4-12
`DigraphStronglyConnectedComponents` 5.4-11
`DigraphsUseBliss` 7.2-1
`DigraphsUseNauty` 7.2-1
`DigraphSymmetricClosure` 3.3-12
`DigraphSymmetricClosureAttr` 3.3-12
`DigraphTopologicalSort` 5.1-8
`DigraphTransitiveClosure` 3.3-13
`DigraphTransitiveClosureAttr` 3.3-13
`DigraphTransitiveReduction` 3.3-14
`DigraphTransitiveReductionAttr` 3.3-14
`DigraphUndirectedGirth` 5.4-8
`DigraphVertexLabel` 5.1-9
`DigraphVertexLabels` 5.1-10
`DigraphVertices` 5.1-1
`DigraphWelshPowellOrder` 7.3-16
`DiSparse6String` 9.2-3
`DistanceDigraph`, for digraph and int 3.3-45
for digraph and list 3.3-45
`Dominators` 5.4-25
`DominatorTree` 5.4-26
`DotColoredDigraph` 9.1-2
`DotDigraph` 9.1-2
`DotEdgeColoredDigraph` 9.1-2
`DotHighlightedDigraph` 9.1-6
`DotPartialOrderDigraph` 9.1-4
`DotPreorderDigraph` 9.1-5
`DotQuasiorderDigraph` 9.1-5
`DotSymmetricColoredDigraph` 9.1-3
`DotSymmetricDigraph` 9.1-3
`DotSymmetricEdgeColoredDigraph` 9.1-3
`DotSymmetricVertexColoredDigraph` 9.1-3
`DotVertexColoredDigraph` 9.1-2
`DotVertexLabelledDigraph` 9.1-2
`DoubleDigraph` 3.3-42
`EdgeDigraph` 3.3-40
`EdgeOrbitsDigraph` 3.1-10
`EdgeUndirectedDigraph` 3.3-41
`EmbeddingsDigraphs` 7.3-9
`EmbeddingsDigraphsRepresentatives` 7.3-9
`EmptyDigraph` 3.5-16
`EpimorphismsDigraphs` 7.3-7
`EpimorphismsDigraphsRepresentatives` 7.3-7
`GearGraph` 3.5-17
`GeneralisedPetersenGraph` 3.5-36
`GeneratorsOfCayleyDigraph` 5.5-2
`GeneratorsOfEndomorphismMonoid` 7.3-13
`GeneratorsOfEndomorphismMonoidAttr` 7.3-13
`Graph` 3.2-3
`Graph6String` 9.2-3
`GridGraph` 3.5-41
`GroupOfCayleyDigraph` 5.5-1
`HaarGraph` 3.5-18
`HalvedCubeGraph` 3.5-19
`HamiltonianPath` 5.4-33
`HanoiGraph` 3.5-20
`HelmGraph` 3.5-21
`HomomorphicProduct` 3.3-34
`HomomorphismDigraphsFinder` 7.3-1
`HomomorphismsDigraphs` 7.3-3
`HomomorphismsDigraphsRepresentatives` 7.3-3
`HypercubeGraph` 3.5-22
`InDegreeOfVertex` 5.2-12
`InDegrees` 5.2-9
`InDegreeSequence` 5.2-9
`InDegreeSet` 5.2-9
`InducedSubdigraph` 3.3-3
`InNeighbors` 5.2-7
`InNeighborsMutableCopy` 5.2-7
`InNeighborsOfVertex` 5.2-13
`InNeighbours` 5.2-7
`InNeighboursMutableCopy` 5.2-7
`InNeighboursOfVertex` 5.2-13
`IsAcyclicDigraph` 6.5-1
`IsAntiSymmetricDigraph` 6.2-2
`IsAntisymmetricDigraph` 6.2-2
`IsAperiodicDigraph` 6.5-7
`IsBiconnectedDigraph` 6.5-4
`IsBipartiteDigraph` 6.2-3
`IsBridgelessDigraph` 6.5-5
`IsCayleyDigraph` 3.1-4
`IsChainDigraph` 6.5-2
`IsClique` 8.1-1
`IsCompleteBipartiteDigraph` 6.2-4
`IsCompleteDigraph` 6.2-5
`IsCompleteMultipartiteDigraph` 6.2-6
`IsConnectedDigraph` 6.5-3
`IsCycleDigraph` 6.5-12
`IsDigraph` 3.1-1
`IsDigraphAutomorphism` 7.2-20
for a digraph and a transformation or permutation 7.2-20
`IsDigraphColouring` 7.2-21
for a transformation 7.2-21
`IsDigraphCore` 6.7-1
`IsDigraphEdge`, for digraph and list 5.1-15
for digraph and two pos ints 5.1-15
`IsDigraphEmbedding` 7.3-11
for digraphs and a permutation or transformation 7.3-11
`IsDigraphEndomorphism` 7.3-10
for digraphs and a permutation or transformation 7.3-10
`IsDigraphEpimorphism` 7.3-10
for digraphs and a permutation or transformation 7.3-10
`IsDigraphHomomorphism` 7.3-10
for digraphs and a permutation or transformation 7.3-10
`IsDigraphIsomorphism` 7.2-20
for digraphs and transformation or permutation 7.2-20
`IsDigraphMonomorphism` 7.3-10
for digraphs and a permutation or transformation 7.3-10
`IsDigraphPath` 5.4-20
for a digraph and list 5.4-20
`IsDigraphWithAdjacencyFunction` 3.1-5
`IsDirectedTree` 6.5-8
`IsDistanceRegularDigraph` 6.4-4
`IsDistributiveLatticeDigraph` 6.3-6
`IsEdgeTransitive` 6.7-2
`IsEmptyDigraph` 6.2-7
`IsEquivalenceDigraph` 6.2-8
`IsEulerianDigraph` 6.5-10
`IsFunctionalDigraph` 6.2-9
`IsHamiltonianDigraph` 6.5-11
`IsImmutableDigraph` 3.1-3
`IsIndependentSet` 8.2-1
`IsInRegularDigraph` 6.4-1
`IsIsomorphicDigraph`, for digraphs 7.2-15
for digraphs and homogeneous lists 7.2-16
`IsJoinSemilatticeDigraph` 6.3-3
`IsLatticeDigraph` 6.3-3
`IsLatticeEmbedding`, for digraphs and a permutation or transformation 7.3-20
`IsLatticeEndomorphism`, for digraphs and a permutation or transformation 7.3-20
`IsLatticeEpimorphism`, for digraphs and a permutation or transformation 7.3-20
`IsLatticeHomomorphism`, for digraphs and a permutation or transformation 7.3-20
`IsLatticeMonomorphism`, for digraphs and a permutation or transformation 7.3-20
`IsLowerSemimodularDigraph` 6.3-5
`IsMatching` 5.1-16
`IsMaximalClique` 8.1-1
`IsMaximalIndependentSet` 8.2-1
`IsMaximalMatching` 5.1-16
`IsMaximumMatching` 5.1-16
`IsMeetSemilatticeDigraph` 6.3-3
`IsMultiDigraph` 6.2-11
`IsMutableDigraph` 3.1-2
`IsNonemptyDigraph` 6.2-12
`IsNullDigraph` 6.2-7
`IsomorphismDigraphs`, for digraphs 7.2-17
for digraphs and homogeneous lists 7.2-18
`IsOuterPlanarDigraph` 6.6-2
`IsOutRegularDigraph` 6.4-2
`IsPartialOrderDigraph` 6.3-2
`IsPerfectMatching` 5.1-16
`IsPermutationDigraph` 6.2-10
`IsPlanarDigraph` 6.6-1
`IsPreorderDigraph` 6.3-1
`IsQuasiorderDigraph` 6.3-1
`IsReachable` 5.4-19
`IsReflexiveDigraph` 6.2-13
`IsRegularDigraph` 6.4-3
`IsStronglyConnectedDigraph` 6.5-6
`IsSubdigraph` 4.1-1
`IsSymmetricDigraph` 6.2-14
`IsTournament` 6.2-15
`IsTransitiveDigraph` 6.2-16
`IsUndirectedForest` 6.5-9
`IsUndirectedSpanningForest` 4.1-2
`IsUndirectedSpanningTree` 4.1-2
`IsUndirectedTree` 6.5-9
`IsUpperSemimodularDigraph` 6.3-5
`IsVertexTransitive` 6.7-3
`IteratorFromDigraphFile` 9.2-7
`IteratorOfPaths` 5.4-27
`JohnsonDigraph` 3.5-23
`KellerGraph` 3.5-24
`KingsGraph` 3.5-25
`KneserGraph` 3.5-26
`KnightsGraph` 3.5-27
`KuratowskiOuterPlanarSubdigraph` 5.7-2
`KuratowskiPlanarSubdigraph` 5.7-1
`LaplacianMatrix` 5.2-16
`LatticeDigraphEmbedding` 7.3-19
`LexicographicProduct` 3.3-35
`LindgrenSousselierGraph` 3.5-28
`LineDigraph` 3.3-40
`LineUndirectedDigraph` 3.3-41
`ListNamedDigraphs` 3.1-13
`LollipopGraph` 3.5-29
`MaximalAntiSymmetricSubdigraph` 3.3-6
`MaximalAntiSymmetricSubdigraphAttr` 3.3-6
`MaximalCommonSubdigraph` 7.2-22
`MaximalSymmetricSubdigraph` 3.3-5
`MaximalSymmetricSubdigraphAttr` 3.3-5
`MaximalSymmetricSubdigraphWithoutLoops` 3.3-5
`MaximalSymmetricSubdigraphWithoutLoopsAttr` 3.3-5
`MinimalCommonSuperdigraph` 7.2-23
`MobiusLadderGraph` 3.5-30
`ModularProduct` 3.3-36
`MonomorphismsDigraphs` 7.3-5
`MonomorphismsDigraphsRepresentatives` 7.3-5
`MycielskiGraph` 3.5-31
`NautyAutomorphismGroup` 7.2-4
`NautyCanonicalDigraph` 7.2-9
`NautyCanonicalLabelling`, for a digraph 7.2-7
for a digraph and a list 7.2-8
`NonLowerSemimodularPair` 5.3-2
`NonUpperSemimodularPair` 5.3-2
`NrSpanningTrees` 5.4-34
`NullDigraph` 3.5-16
`OddGraph` 3.5-32
`OnDigraphs`, for a digraph and a perm 7.1-1
for a digraph and a transformation 7.1-1
`OnMultiDigraphs` 7.1-2
for a digraph, perm, and perm 7.1-2
`OnSetsDigraphs`, for a set of digraphs and a perm 7.1-3
`OnTuplesDigraphs`, for a list of digraphs and a perm 7.1-3
`OutDegreeOfVertex` 5.2-10
`OutDegrees` 5.2-8
`OutDegreeSequence` 5.2-8
`OutDegreeSet` 5.2-8
`OuterPlanarEmbedding` 5.7-4
`OutNeighbors` 5.2-6
`OutNeighborsMutableCopy` 5.2-6
`OutNeighborsOfVertex` 5.2-11
`OutNeighbours` 5.2-6
`OutNeighboursMutableCopy` 5.2-6
`OutNeighboursOfVertex` 5.2-11
`PartialOrderDigraphJoinOfVertices` 5.3-1
`PartialOrderDigraphMeetOfVertices` 5.3-1
`PathGraph` 3.5-33
`PermutationStarGraph` 3.5-34
`PetersenGraph` 3.5-35
`PlainTextString` 9.2-12
`PlanarEmbedding` 5.7-3
`PrintString` 9.2-1
`PrismGraph` 3.5-37
`QueenGraph` 3.5-39
`QueensGraph` 3.5-39
`QuotientDigraph` 3.3-9
`RandomDigraph` 3.4-1
`RandomLattice` 3.4-4
`RandomMultiDigraph` 3.4-2
`RandomTournament` 3.4-3
`ReadDigraphs` 9.2-5
`ReadDIMACSDigraph` 9.2-14
`ReadPlainTextDigraph` 9.2-13
`ReducedDigraph` 3.3-4
`ReducedDigraphAttr` 3.3-4
`RepresentativeOutNeighbours` 7.2-19
`RookGraph` 3.5-40
`RooksGraph` 3.5-40
`SemigroupOfCayleyDigraph` 5.5-1
`SetDigraphEdgeLabel` 5.1-11
`SetDigraphEdgeLabels`, for a digraph and a function 5.1-12
for a digraph and a list of lists 5.1-12
`SetDigraphVertexLabel` 5.1-9
`SetDigraphVertexLabels` 5.1-10
`Sparse6String` 9.2-3
`Splash` 9.1-1
`SquareGridGraph` 3.5-41
`StackedBookGraph` 3.5-8
`StackedPrismGraph` 3.5-38
`StarGraph` 3.5-43
`String` 9.2-1
`StrongOrientation` 5.4-16
`StrongOrientationAttr` 5.4-16
`StrongProduct` 3.3-37
`SubdigraphHomeomorphicToK23` 5.7-5
`SubdigraphHomeomorphicToK33` 5.7-5
`SubdigraphHomeomorphicToK4` 5.7-5
`TadpoleGraph` 3.5-44
`TCodeDecoder` 9.2-11
`TournamentLineDecoder` 9.2-9
`TriangularGridGraph` 3.5-42
`UndirectedSpanningForest` 3.3-7
`UndirectedSpanningForestAttr` 3.3-7
`UndirectedSpanningTree` 3.3-7
`UndirectedSpanningTreeAttr` 3.3-7
`VerticesReachableFrom` 5.4-21
`WalshHadamardGraph` 3.5-45
`WebGraph` 3.5-46
`WheelGraph` 3.5-47
`WindmillGraph` 3.5-48
`WriteDigraphs` 9.2-6
`WriteDIMACSDigraph` 9.2-14
`WritePlainTextDigraph` 9.2-13

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