IndependentVertexSetQ
IndependentVertexSetQ[g, vlist] yields True if the vertex list vlist is an independent vertex set in the graph g, and False otherwise.
Examples
g = Graph[{1 <-> 2, 2 <-> 3, 3 <-> 4}];
IndependentVertexSetQ[g, {1, 3}]Please visit the official Wolfram Language Reference for more details.