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Vertex Set

المؤلف:  Munkres, J. R.

المصدر:  Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.

الجزء والصفحة:  ...

29-4-2022

2035

Vertex Set

The vertex set of a graph is simply a set of all vertices of the graph. The cardinality of the vertex set for a given graph  is known as the vertex count of .

The vertex set for a particular graph embedding of a graph  is given in the Wolfram Language using PropertyValue[g, VertexCoordinates] or GraphEmbedding[g]. Vertex sets for many named graphs are available via GraphData[graph, "VertexCoordinates"] (for the primary embedding) and GraphData[graph, "Embeddings"] (for all available embeddings).

The vertex set  of an abstract simplicial complex  is the union of one-point elements of  (Munkres 1993, p. 15).

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REFERENCES

Munkres, J. R. Elements of Algebraic Topology. New York: Perseus Books Pub., 1993.