\indexentry {Installing the GRAPE Package@Installing the GRAPE Package|indexit}{5}
\indexentry {Loading GRAPE@Loading GRAPE|indexit}{6}
\indexentry {The structure of a graph in GRAPE@The structure of a graph in GRAPE|indexit}{7}
\indexentry {Examples of the use of GRAPE@Examples of the use of GRAPE|indexit}{7}
\indexentry {Graph@Graph|indexit}{9}
\indexentry {Graph@`Graph'}{9}
\indexentry {Graph@`Graph'}{9}
\indexentry {EdgeOrbitsGraph@EdgeOrbitsGraph|indexit}{10}
\indexentry {EdgeOrbitsGraph@`EdgeOrbitsGraph'}{10}
\indexentry {EdgeOrbitsGraph@`EdgeOrbitsGraph'}{10}
\indexentry {NullGraph@NullGraph|indexit}{10}
\indexentry {NullGraph@`NullGraph'}{10}
\indexentry {NullGraph@`NullGraph'}{10}
\indexentry {CompleteGraph@CompleteGraph|indexit}{11}
\indexentry {CompleteGraph@`CompleteGraph'}{11}
\indexentry {CompleteGraph@`CompleteGraph'}{11}
\indexentry {CompleteGraph@`CompleteGraph'}{11}
\indexentry {JohnsonGraph@JohnsonGraph|indexit}{11}
\indexentry {JohnsonGraph@`JohnsonGraph'}{11}
\indexentry {CayleyGraph@CayleyGraph|indexit}{11}
\indexentry {CayleyGraph@`CayleyGraph'}{11}
\indexentry {CayleyGraph@`CayleyGraph'}{11}
\indexentry {CayleyGraph@`CayleyGraph'}{11}
\indexentry {AddEdgeOrbit@AddEdgeOrbit|indexit}{12}
\indexentry {AddEdgeOrbit@`AddEdgeOrbit'}{12}
\indexentry {AddEdgeOrbit@`AddEdgeOrbit'}{12}
\indexentry {RemoveEdgeOrbit@RemoveEdgeOrbit|indexit}{13}
\indexentry {RemoveEdgeOrbit@`RemoveEdgeOrbit'}{13}
\indexentry {RemoveEdgeOrbit@`RemoveEdgeOrbit'}{13}
\indexentry {AssignVertexNames@AssignVertexNames|indexit}{13}
\indexentry {AssignVertexNames@`AssignVertexNames'}{13}
\indexentry {IsGraph@IsGraph|indexit}{15}
\indexentry {IsGraph@`IsGraph'}{15}
\indexentry {OrderGraph@OrderGraph|indexit}{15}
\indexentry {OrderGraph@`OrderGraph'}{15}
\indexentry {IsVertex@IsVertex|indexit}{15}
\indexentry {IsVertex@`IsVertex'}{15}
\indexentry {VertexName@VertexName|indexit}{15}
\indexentry {VertexName@`VertexName'}{15}
\indexentry {VertexNames@VertexNames|indexit}{16}
\indexentry {VertexNames@`VertexNames'}{16}
\indexentry {Vertices@Vertices|indexit}{16}
\indexentry {Vertices@`Vertices'}{16}
\indexentry {VertexDegree@VertexDegree|indexit}{16}
\indexentry {VertexDegree@`VertexDegree'}{16}
\indexentry {VertexDegrees@VertexDegrees|indexit}{16}
\indexentry {VertexDegrees@`VertexDegrees'}{16}
\indexentry {IsLoopy@IsLoopy|indexit}{16}
\indexentry {IsLoopy@`IsLoopy'}{16}
\indexentry {IsSimpleGraph@IsSimpleGraph|indexit}{17}
\indexentry {IsSimpleGraph@`IsSimpleGraph'}{17}
\indexentry {Adjacency@Adjacency|indexit}{17}
\indexentry {Adjacency@`Adjacency'}{17}
\indexentry {IsEdge@IsEdge|indexit}{17}
\indexentry {IsEdge@`IsEdge'}{17}
\indexentry {DirectedEdges@DirectedEdges|indexit}{17}
\indexentry {DirectedEdges@`DirectedEdges'}{17}
\indexentry {UndirectedEdges@UndirectedEdges|indexit}{18}
\indexentry {UndirectedEdges@`UndirectedEdges'}{18}
\indexentry {Distance@Distance|indexit}{18}
\indexentry {Distance@`Distance'}{18}
\indexentry {Distance@`Distance'}{18}
\indexentry {Diameter@Diameter|indexit}{18}
\indexentry {Diameter@`Diameter'}{18}
\indexentry {Girth@Girth|indexit}{19}
\indexentry {Girth@`Girth'}{19}
\indexentry {IsConnectedGraph@IsConnectedGraph|indexit}{19}
\indexentry {IsConnectedGraph@`IsConnectedGraph'}{19}
\indexentry {IsBipartite@IsBipartite|indexit}{19}
\indexentry {IsBipartite@`IsBipartite'}{19}
\indexentry {IsNullGraph@IsNullGraph|indexit}{20}
\indexentry {IsNullGraph@`IsNullGraph'}{20}
\indexentry {IsCompleteGraph@IsCompleteGraph|indexit}{20}
\indexentry {IsCompleteGraph@`IsCompleteGraph'}{20}
\indexentry {IsCompleteGraph@`IsCompleteGraph'}{20}
\indexentry {IsRegularGraph@IsRegularGraph|indexit}{21}
\indexentry {IsRegularGraph@`IsRegularGraph'}{21}
\indexentry {LocalParameters@LocalParameters|indexit}{21}
\indexentry {LocalParameters@`LocalParameters'}{21}
\indexentry {LocalParameters@`LocalParameters'}{21}
\indexentry {GlobalParameters@GlobalParameters|indexit}{22}
\indexentry {GlobalParameters@`GlobalParameters'}{22}
\indexentry {IsDistanceRegular@IsDistanceRegular|indexit}{22}
\indexentry {IsDistanceRegular@`IsDistanceRegular'}{22}
\indexentry {CollapsedAdjacencyMat@CollapsedAdjacencyMat|indexit}{22}
\indexentry {CollapsedAdjacencyMat@`CollapsedAdjacencyMat'}{22}
\indexentry {CollapsedAdjacencyMat@`CollapsedAdjacencyMat'}{22}
\indexentry {OrbitalGraphColadjMats@OrbitalGraphColadjMats|indexit}{23}
\indexentry {OrbitalGraphColadjMats@`OrbitalGraphColadjMats'}{23}
\indexentry {OrbitalGraphColadjMats@`OrbitalGraphColadjMats'}{23}
\indexentry {VertexTransitiveDRGs@VertexTransitiveDRGs|indexit}{23}
\indexentry {VertexTransitiveDRGs@`VertexTransitiveDRGs'}{23}
\indexentry {VertexTransitiveDRGs@`VertexTransitiveDRGs'}{23}
\indexentry {ConnectedComponent@ConnectedComponent|indexit}{25}
\indexentry {ConnectedComponent@`ConnectedComponent'}{25}
\indexentry {ConnectedComponents@ConnectedComponents|indexit}{25}
\indexentry {ConnectedComponents@`ConnectedComponents'}{25}
\indexentry {Bicomponents@Bicomponents|indexit}{25}
\indexentry {Bicomponents@`Bicomponents'}{25}
\indexentry {DistanceSet@DistanceSet|indexit}{26}
\indexentry {DistanceSet@`DistanceSet'}{26}
\indexentry {DistanceSet@`DistanceSet'}{26}
\indexentry {Layers@Layers|indexit}{26}
\indexentry {Layers@`Layers'}{26}
\indexentry {Layers@`Layers'}{26}
\indexentry {IndependentSet@IndependentSet|indexit}{26}
\indexentry {IndependentSet@`IndependentSet'}{26}
\indexentry {IndependentSet@`IndependentSet'}{26}
\indexentry {IndependentSet@`IndependentSet'}{26}
\indexentry {InducedSubgraph@InducedSubgraph|indexit}{27}
\indexentry {InducedSubgraph@`InducedSubgraph'}{27}
\indexentry {InducedSubgraph@`InducedSubgraph'}{27}
\indexentry {DistanceSetInduced@DistanceSetInduced|indexit}{27}
\indexentry {DistanceSetInduced@`DistanceSetInduced'}{27}
\indexentry {DistanceSetInduced@`DistanceSetInduced'}{27}
\indexentry {DistanceGraph@DistanceGraph|indexit}{28}
\indexentry {DistanceGraph@`DistanceGraph'}{28}
\indexentry {ComplementGraph@ComplementGraph|indexit}{28}
\indexentry {ComplementGraph@`ComplementGraph'}{28}
\indexentry {ComplementGraph@`ComplementGraph'}{28}
\indexentry {PointGraph@PointGraph|indexit}{29}
\indexentry {PointGraph@`PointGraph'}{29}
\indexentry {PointGraph@`PointGraph'}{29}
\indexentry {EdgeGraph@EdgeGraph|indexit}{29}
\indexentry {EdgeGraph@`EdgeGraph'}{29}
\indexentry {SwitchedGraph@SwitchedGraph|indexit}{30}
\indexentry {SwitchedGraph@`SwitchedGraph'}{30}
\indexentry {SwitchedGraph@`SwitchedGraph'}{30}
\indexentry {UnderlyingGraph@UnderlyingGraph|indexit}{30}
\indexentry {UnderlyingGraph@`UnderlyingGraph'}{30}
\indexentry {QuotientGraph@QuotientGraph|indexit}{31}
\indexentry {QuotientGraph@`QuotientGraph'}{31}
\indexentry {BipartiteDouble@BipartiteDouble|indexit}{31}
\indexentry {BipartiteDouble@`BipartiteDouble'}{31}
\indexentry {GeodesicsGraph@GeodesicsGraph|indexit}{32}
\indexentry {GeodesicsGraph@`GeodesicsGraph'}{32}
\indexentry {CollapsedIndependentOrbitsGraph@CollapsedIndependentOrbitsGraph|indexit}{32}
\indexentry {CollapsedIndependentOrbitsGraph@`CollapsedIndependentOrbitsGraph'}{32}
\indexentry {CollapsedIndependentOrbitsGraph@`CollapsedIndependentOrbitsGraph'}{32}
\indexentry {CollapsedCompleteOrbitsGraph@CollapsedCompleteOrbitsGraph|indexit}{33}
\indexentry {CollapsedCompleteOrbitsGraph@`CollapsedCompleteOrbitsGraph'}{33}
\indexentry {CollapsedCompleteOrbitsGraph@`CollapsedCompleteOrbitsGraph'}{33}
\indexentry {NewGroupGraph@NewGroupGraph|indexit}{34}
\indexentry {NewGroupGraph@`NewGroupGraph'}{34}
\indexentry {vertex-weighted graph}{35}
\indexentry {VertexColouring@VertexColouring|indexit}{35}
\indexentry {VertexColouring@`VertexColouring'}{35}
\indexentry {CompleteSubgraphs@CompleteSubgraphs|indexit}{35}
\indexentry {CompleteSubgraphs@`CompleteSubgraphs'}{35}
\indexentry {CompleteSubgraphs@`CompleteSubgraphs'}{35}
\indexentry {CompleteSubgraphs@`CompleteSubgraphs'}{35}
\indexentry {Cliques}{36}
\indexentry {CompleteSubgraphsOfGivenSize@CompleteSubgraphsOfGivenSize|indexit}{36}
\indexentry {CompleteSubgraphsOfGivenSize@`CompleteSubgraphsOfGivenSize'}{36}
\indexentry {CompleteSubgraphsOfGivenSize@`CompleteSubgraphsOfGivenSize'}{36}
\indexentry {CompleteSubgraphsOfGivenSize@`CompleteSubgraphsOfGivenSize'}{36}
\indexentry {CompleteSubgraphsOfGivenSize@`CompleteSubgraphsOfGivenSize'}{36}
\indexentry {CompleteSubgraphsOfGivenSize@`CompleteSubgraphsOfGivenSize'}{36}
\indexentry {CliquesOfGivenSize}{37}
\indexentry {AutGroupGraph@AutGroupGraph|indexit}{38}
\indexentry {AutGroupGraph@`AutGroupGraph'}{38}
\indexentry {AutGroupGraph@`AutGroupGraph'}{38}
\indexentry {IsIsomorphicGraph@IsIsomorphicGraph|indexit}{39}
\indexentry {IsIsomorphicGraph@`IsIsomorphicGraph'}{39}
\indexentry {IsIsomorphicGraph@`IsIsomorphicGraph'}{39}
\indexentry {GraphIsomorphismClassRepresentatives@GraphIsomorphismClassRepresentatives|indexit}{39}
\indexentry {GraphIsomorphismClassRepresentatives@`GraphIsomorphismClassRepresentatives'}{39}
\indexentry {GraphIsomorphismClassRepresentatives@`GraphIsomorphismClassRepresentatives'}{39}
\indexentry {GraphIsomorphism@GraphIsomorphism|indexit}{40}
\indexentry {GraphIsomorphism@`GraphIsomorphism'}{40}
\indexentry {GraphIsomorphism@`GraphIsomorphism'}{40}
\indexentry {PartialLinearSpaces@PartialLinearSpaces|indexit}{41}
\indexentry {PartialLinearSpaces@`PartialLinearSpaces'}{41}
\indexentry {PartialLinearSpaces@`PartialLinearSpaces'}{41}
\indexentry {PartialLinearSpaces@`PartialLinearSpaces'}{41}
\indexentry {PartialLinearSpaces@`PartialLinearSpaces'}{41}
\indexentry {A research application of PartialLinearSpaces@A research application of PartialLinearSpaces|indexit}{42}