A chain probe graph is a graph that admits an independent set S of vertices and a set F of pairs of elements of S such that G+F is a chain graph (i.e., a 2K (2)-free bipartite graph). We show that chain probe graphs are exactly the bipartite graphs that do not contain as an induced subgraph a member of a family of six forbidden subgraphs, and deduce an O(n (2)) recognition algorithm.
机构:
Univ Modena & Reggio Emilia, Dept Social Cognit & Quantitat Sci, I-42100 Reggio Emilia, ItalyUniv Modena & Reggio Emilia, Dept Social Cognit & Quantitat Sci, I-42100 Reggio Emilia, Italy