A characterization of PM-compact bipartite and near-bipartite graphs

作者:Wang Xiumei*; Lin Yixun; Carvalho Marcelo H; Lucchesi Claudio L; Sanjith G; Little C H C
来源:Discrete Mathematics, 2013, 313(6): 772-783.
DOI:10.1016/j.disc.2012.12.015

摘要

The perfect-matching polytope of a graph G is the convex hull of the incidence vectors of all perfect matchings in G. This paper characterizes bipartite and nearly bipartite graphs whose 1-skeleton graphs of perfect-matching polytopes have diameter 1.