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» On Perfect Matching Coverings and Even Subgraph Coverings
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DM
2000
91views more  DM 2000»
13 years 4 months ago
Perfection thickness of graphs
We determine the order of growth of the worst-case number of perfect subgraphs needed to cover an n-vertex graph.
Hirotsugu Asari, Tao Jiang, André Künd...
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
13 years 11 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
13 years 8 months ago
On Approximating Minimum Vertex Cover for Graphs with Perfect Matching
It has been a challenging open problem whether there is a polynomial time approximation algorithm for the Vertex Cover problem whose approximation ratio is bounded by a constant l...
Jianer Chen, Iyad A. Kanj
FSTTCS
2007
Springer
13 years 11 months ago
Covering Graphs with Few Complete Bipartite Subgraphs
We consider computational problems on covering graphs with bicliques (complete bipartite subgraphs). Given a graph and an integer k, the biclique cover problem asks whether the edg...
Herbert Fleischner, Egbert Mujuni, Daniël Pau...
ALGORITHMICA
2008
88views more  ALGORITHMICA 2008»
13 years 5 months ago
Exact Algorithms for Exact Satisfiability and Number of Perfect Matchings
We present exact algorithms with exponential running times for variants of n-element set cover problems, based on divide-and-conquer and on inclusion
Andreas Björklund, Thore Husfeldt