CompleteGraphQ

CompleteGraphQ[g]

yields True if the graph g is a complete graph, and False otherwise.

CompleteGraphQ[g,vlist]

yields True if the subgraph induced by vlist is a complete graph, and False otherwise.

Details

  • A graph is complete if there is an edge between every pair of distinct vertices.
  • CompleteGraphQ works with undirected graphs, directed graphs, multigraphs, and mixed graphs.

Examples

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Basic Examples  (2)

Test whether a graph is complete:

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Petersen graph is not a complete graph:

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Scope  (6)

Properties & Relations  (11)

See Also

CompleteGraph  FindClique

Introduced in 2010
(8.0)
| Updated in 2014
(10.0)