On approximation algorithms for the minimum satisfiability problem
Information Processing Letters
Coloured matchings in bipartite graphs
Discrete Mathematics
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
The minimum labeling spanning trees
Information Processing Letters
A threshold of ln n for approximating set cover
Journal of the ACM (JACM)
On the minimum label spanning tree problem
Information Processing Letters
Some Matching Problems for Bipartite Graphs
Journal of the ACM (JACM)
On the red-blue set cover problem
SODA '00 Proceedings of the eleventh annual ACM-SIAM symposium on Discrete algorithms
Some APX-completeness results for cubic graphs
Theoretical Computer Science
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A note on the minimum label spanning tree
Information Processing Letters
Improved approximation algorithms for MAX SAT
Journal of Algorithms
Matchings in colored bipartite networks
Discrete Applied Mathematics
Worst-case behavior of the MVCA heuristic for the minimum labeling spanning tree problem
Operations Research Letters
On a Labeled Vehicle Routing Problem
SOFSEM '10 Proceedings of the 36th Conference on Current Trends in Theory and Practice of Computer Science
The complexity of bottleneck labeled graph problems
WG'07 Proceedings of the 33rd international conference on Graph-theoretic concepts in computer science
The parameterized complexity of some minimum label problems
Journal of Computer and System Sciences
Approximation and hardness results for label cut and related problems
Journal of Combinatorial Optimization
Approximating minimum label s-t cut via linear programming
LATIN'12 Proceedings of the 10th Latin American international conference on Theoretical Informatics
Labeled Traveling Salesman Problems: Complexity and approximation
Discrete Optimization
Constrained matching problems in bipartite graphs
ISCO'12 Proceedings of the Second international conference on Combinatorial Optimization
A note on the Clustered Set Covering Problem
Discrete Applied Mathematics
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In this paper, we deal with both the complexity and the approximability of the labeled perfect matching problem in bipartite graphs. Given a simple graph G=(V,E) with |V|=2n vertices such that E contains a perfect matching (of size n), together with a color (or label) function L:E-{c"1,...,c"q}, the labeled perfect matching problem consists in finding a perfect matching on G that uses a minimum or a maximum number of colors.