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VertexIndex   (Built-in Mathematica Symbol)
VertexIndex[g, v] gives the integer index for the vertex v in the graph g.
AddEdges   (Combinatorica Package Symbol)
AddEdges[g, edgeList] gives graph g with the new edges in edgeList added. edgeList can have the form {a, b} to add a single edge {a, b} or the form {{a, b}, {c, d}, ...}, to ...
GeneralizedPetersenGraph   (Combinatorica Package Symbol)
GeneralizedPetersenGraph[n, k] returns the generalized Petersen graph, for integers n > 1 and k > 0, which is the graph with vertices {u_1, u_2, ..., u_n} and {v_1, v_2, ..., ...
GraphRadius   (Built-in Mathematica Symbol)
GraphRadius[g] gives the minimum eccentricity of the vertices in the graph g.
VertexEccentricity   (Built-in Mathematica Symbol)
VertexEccentricity[g, s] gives the length of the longest shortest path from the source s to every other vertex in the graph g.
VertexRenderingFunction   (Built-in Mathematica Symbol)
VertexRenderingFunction is an option for GraphPlot and related functions that gives a function to generate the graphics primitives to use in rendering each vertex.
Contract   (Combinatorica Package Symbol)
Contract[g, {x, y}] gives the graph resulting from contracting the pair of vertices {x, y} of graph g.
MakeSimple   (Combinatorica Package Symbol)
MakeSimple[g] gives the undirected graph, free of multiple edges and self-loops derived from graph g.
RegularGraph   (Combinatorica Package Symbol)
RegularGraph[k, n] constructs a semirandom k-regular graph on n vertices, if such a graph exists.
RobertsonGraph   (Combinatorica Package Symbol)
RobertsonGraph returns a 19-vertex graph that is the unique (4, 5)-cage graph.
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