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LinkRanks   (Graph Utilities Package Symbol)
LinkRanks[g] gives the link ranks of the directed graph g as a rule list.
ShowGraph   (Combinatorica Package Symbol)
ShowGraph[g] displays the graph g. ShowGraph[g, Directed] is obsolete and it is currently identical to ShowGraph[g].
ListGraphs   (Combinatorica Package Symbol)
ListGraphs[n, m] returns all nonisomorphic undirected graphs with n vertices and m edges. ListGraphs[n, m, Directed] returns all nonisomorphic directed graphs with n vertices ...
FiniteGraphs   (Combinatorica Package Symbol)
FiniteGraphs produces a convenient list of all the interesting, finite, parameterless graphs built into Combinatorica.
IsomorphismQ   (Combinatorica Package Symbol)
IsomorphismQ[g, h, p] tests if permutation p defines an isomorphism between graphs g and h.
Options for Graphics   (Mathematica Tutorial)
When Mathematica plots a graph for you, it has to make many choices. It has to work out what the scales should be, where the function should be sampled, how the axes should ...
AlternatingPaths   (Combinatorica Package Symbol)
AlternatingPaths[g, start, ME] returns the alternating paths in graph g with respect to the matching ME, starting at the vertices in the list start. The paths are returned in ...
ChromaticPolynomial   (Combinatorica Package Symbol)
ChromaticPolynomial[g, z] gives the chromatic polynomial P(z) of graph g, which counts the number of ways to color g with, at most, z colors.
CompleteQ   (Combinatorica Package Symbol)
CompleteQ[g] yields True if graph g is complete. This means that between any pair of vertices there is an undirected edge or two directed edges going in opposite directions.
Diameter   (Combinatorica Package Symbol)
Diameter[g] gives the diameter of graph g, the maximum length, among all pairs of vertices in g, of a shortest path between each pair.
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