VertexLabel is an option that can take on values True or False, allowing the user to set and display vertex labels.

VertexNumber is an option that can take on values True or False. This can be used in ShowGraph to display or suppress vertex numbers.

VertexNumberPosition is an option that can be used in ShowGraph to display a vertex number in a certain position relative to the vertex.

VertexStyle is an option that allows the user to associate different sizes and shapes to vertices.

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AllPairsShortestPath[g] gives a matrix, where the (i, j)\[Null]^th entry is the length of a shortest path in g between vertices i and j. AllPairsShortestPath[g, Parent] ...

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