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» Finding Large Independent Sets in Polynomial Expected Time
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SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 4 months ago
PTAS for maximum weight independent set problem with random weights in bounded degree graphs
Finding the largest independent set in a graph is a notoriously difficult NP-complete combinatorial optimization problem. Moreover, even for graphs with largest degree 3, no polyn...
David Gamarnik, David Goldberg, Theophane Weber
23
Voted
JCP
2006
91views more  JCP 2006»
13 years 7 months ago
The Matching Predicate and a Filtering Scheme Based on Matroids
Finding a maximum cardinality matching in a graph is a problem appearing in numerous settings. The problem asks for a set of edges of maximum cardinality, such that no two edges of...
Dimitris Magos, Ioannis Mourtos, Leonidas S. Pitso...
STOC
1994
ACM
125views Algorithms» more  STOC 1994»
13 years 11 months ago
A spectral technique for coloring random 3-colorable graphs (preliminary version)
Let G(3n, p, 3) be a random 3-colorable graph on a set of 3n vertices generated as follows. First, split the vertices arbitrarily into three equal color classes and then choose ev...
Noga Alon, Nabil Kahale
COMBINATORICS
2004
129views more  COMBINATORICS 2004»
13 years 7 months ago
Operations on Well-Covered Graphs and the Roller-Coaster Conjecture
A graph G is well-covered if every maximal independent set has the same cardinality. Let sk denote the number of independent sets of cardinality k, and define the independence pol...
Philip Matchett
AI
2011
Springer
12 years 11 months ago
Finding Small Backdoors in SAT Instances
Although propositional satisfiability (SAT) is NP-complete, state-of-the-art SAT solvers are able to solve large, practical instances. The concept of backdoors has been introduced...
Zijie Li, Peter van Beek