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» The vertex-cover polynomial of a graph
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WDAG
2009
Springer
195views Algorithms» more  WDAG 2009»
15 years 4 months ago
A Local 2-Approximation Algorithm for the Vertex Cover Problem
We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (∆ + 1)2 synchronous communication rounds,...
Matti Åstrand, Patrik Floréen, Valent...
AICCSA
2007
IEEE
124views Hardware» more  AICCSA 2007»
15 years 3 months ago
The Maximum Common Subgraph Problem: Faster Solutions via Vertex Cover
In the maximum common subgraph (MCS) problem, we are given a pair of graphs and asked to find the largest induced subgraph common to them both. With its plethora of applications,...
Faisal N. Abu-Khzam, Nagiza F. Samatova, Mohamad A...
DM
2007
78views more  DM 2007»
14 years 9 months ago
Properties of vertex cover obstructions
We study properties of the sets of minimal forbidden minors for the families of graphs having a vertex cover of size at most k. We denote this set by O(k-VERTEX COVER) and call it...
Michael J. Dinneen, Rongwei Lai
STOC
2010
ACM
224views Algorithms» more  STOC 2010»
15 years 1 months ago
Satisfiability Allows No Nontrivial Sparsification Unless The Polynomial-Time Hierarchy Collapses
Consider the following two-player communication process to decide a language L: The first player holds the entire input x but is polynomially bounded; the second player is computa...
Holger Dell and Dieter van Melkebeek
DAM
2008
103views more  DAM 2008»
14 years 9 months ago
Crown reductions for the Minimum Weighted Vertex Cover problem
The paper studies crown reductions for the Minimum Weighted Vertex Cover problem introduced recently in the unweighted case by Fellows et al. [Blow-Ups, Win/Win's and crown r...
Miroslav Chlebík, Janka Chlebíkov&aa...