SIAM Journal on Discrete Mathematics
Restricted t-matchings in bipartite graphs
Discrete Applied Mathematics - Submodularity
An NP-hard problem in bipartite graphs
ACM SIGACT News
Triangle-Free Simple 2-Matchings in Subcubic Graphs (Extended Abstract)
IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
A Weighted kt, t-Free t-Factor Algorithm for Bipartite Graphs
Mathematics of Operations Research
A weighted Kt, t-free t-factor algorithm for bipartite graphs
IPCO'08 Proceedings of the 13th international conference on Integer programming and combinatorial optimization
An algorithm for (n-3)-connectivity augmentation problem: Jump system approach
Journal of Combinatorial Theory Series B
Restricted b-matchings in degree-bounded graphs
IPCO'10 Proceedings of the 14th international conference on Integer Programming and Combinatorial Optimization
A proof of Cunningham's conjecture on restricted subgraphs and jump systems
Journal of Combinatorial Theory Series B
A simple algorithm for finding a maximum triangle-free 2-matching in subcubic graphs
Discrete Optimization
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A 2-matching in a simple graph is a subset of edges such that every node of the graph is incident with at most two edges of the subset. A maximum 2-matching is a 2-matching of maximum size. The problem of finding a maximum 2-matching is a relaxation of the problem of finding a Hamilton tour in a graph. In this paper we study, in bipartite graphs, a problem of intermediate difficulty: The problem of finding a maximum 2-matching that contains no 4-cycles. Our main result is a polynomial time algorithm for this problem. We also present a min-max theorem.