FindVertexCover returns a list of vertices which comprise a vertex cover in the graph G. The optional parameter size specifies a size for the vertex cover. If size is omitted, FindVertexCover behaves identically to MinimumVertexCover and returns a minimum vertex cover.

A vertex cover of a graph G is a subset S of the vertices of G such that every edge in G is incident to some member of S.

$\mathrm{with}\left(\mathrm{GraphTheory}\right)\:$

$G≔\mathrm{CompleteGraph}\left(3\,4\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 7\; vertices\; and\; 12\; edge(s)}$

$\mathrm{DrawGraph}\left(G\right)$

$\mathrm{FindVertexCover}\left(G\,3\right)$

$\left[1\,2\,3\right]$

$\mathrm{FindVertexCover}\left(G\,4\right)$

$\left[4\,5\,6\,7\right]$

The GraphTheory[FindVertexCover] command was introduced in Maple 2019.

For more information on Maple 2019 changes, see Updates in Maple 2019.