Abstract
Abstract Two graphs G and H with the same vertex set V are P4-isomorphic if there exists a permutation π on V such that, for all subset S ⊆V, S induces a chordless path on four vertices (denoted by P4)in G if and only if π(S) induces a P4 in H.This paper gives a classification of all graphs P4-isomorphic to a bipartite graph, which we call bipartite-perfect graphs. The classification is based on graphs P4-isomorphic to a tree previously described by A. Brandstadt and the author, and yields a linear time recognition algorithm for bipartite-perfect graphs.
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