IsSimplePath tests whether a walk is a simple path.

A simple path is one in which each vertex in the path is distinct.

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

$G≔\mathrm{CompleteGraph}\left(8\right)$

$G≔\mathrm{Graph\; 1:\; an\; undirected\; graph\; with\; 8\; vertices\; and\; 28\; edges}$

$\mathrm{IsSimplePath}\left(G\,\left[1\,2\,3\,4\,5\right]\right)$

$\mathrm{true}$

$\mathrm{IsSimplePath}\left(G\,\left[1\,2\,3\,4\,5\,4\,6\right]\right)$

$\mathrm{false}$

The GraphTheory[IsSimplePath] command was introduced in Maple 2025.

For more information on Maple 2025 changes, see Updates in Maple 2025.