A polynomial algorithm for b-matchings: an alternative approach
Information Processing Letters
SIAM Journal on Discrete Mathematics
Irredundancy in circular arc graphs
Discrete Applied Mathematics
Approximating the tree and tour covers of a graph
Information Processing Letters
Edge domination on bipartite permutation graphs and cotriangulated graphs
Information Processing Letters
New results on induced matchings
Discrete Applied Mathematics
A 2-approximation algorithm for the minimum weight edge dominating set problem
Discrete Applied Mathematics
Edge dominating and hypomatchable sets
SODA '02 Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Induced Matchings in Regular Graphs and Trees
WG '99 Proceedings of the 25th International Workshop on Graph-Theoretic Concepts in Computer Science
A polynomial time algorithm for strong edge coloring of partial k-trees
Discrete Applied Mathematics
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Given an edge-weighted graph, the induced matching problem is an edge packing problem, which asks to find a maximum weight edge set such that every edge in the graph is adjacent to at most one edge in the set. In this paper, we generalize this problem by introducing edge capacities and propose an approximation algorithm to the problem. The analysis of this algorithm is based on a relationship between two polytopes for an LP relaxation of the above problem and the capacitated b-matching problem.