%0 Journal Article
%T Complexity of a Disjoint Matching Problem on Bipartite Graphs
%A Gregory J. Puleo
%J Computer Science
%D 2015
%I arXiv
%X We consider the following question: given an $(X,Y)$-bigraph $G$ and a set $S \subset X$, does $G$ contain two disjoint matchings $M_1$ and $M_2$ such that $M_1$ saturates $X$ and $M_2$ saturates $S$? When $|S|\geq |X|-1$, this question is solvable by finding an appropriate factor of the graph. In contrast, we show that when $S$ is allowed to be an arbitrary subset of $X$, the problem is NP-hard.
%U http://arxiv.org/abs/1506.06157v1