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» On Perfect Matching Coverings and Even Subgraph Coverings
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DM
2000
91views more  DM 2000»
13 years 9 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»
14 years 3 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»
14 years 1 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
14 years 3 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 9 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