In this paper we further investigate the well-studied problem of finding a perfect matching in a regular bipartite graph. The first non-trivial algorithm, with running time O(mn),...
Let Kn,n denote the complete bipartite graph with n vertices in each partite set and Kn,n +I denote Kn,n with a 1-factor added. It is proved in this paper that there exists an m-c...
We give various constructions of uncountable arc-transitive bipartite graphs employing techniques from partial orders, starting with the cyclefree case, but generalizing to cases ...