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FSTTCS
2007
Springer
15 years 4 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...
DM
2010
124views more  DM 2010»
14 years 10 months ago
Asymptotic enumeration of 2-covers and line graphs
A 2-cover is a multiset of subsets of [n] := {1, 2, . . . , n} such that each element of [n] lies in exactly two of the subsets. A 2-cover is called proper if all of the subsets o...
Peter J. Cameron, Thomas Prellberg, Dudley Stark
103
Voted
ISAAC
2000
Springer
135views Algorithms» more  ISAAC 2000»
15 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
87
Voted
RSA
2008
118views more  RSA 2008»
14 years 9 months ago
The cover time of the giant component of a random graph
We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Colin Cooper, Alan M. Frieze
TCS
2010
14 years 8 months ago
A polynomial solution to the k-fixed-endpoint path cover problem on proper interval graphs
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
Katerina Asdre, Stavros D. Nikolopoulos