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.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.