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» The Number of Independent Sets in a Grid Graph
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SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
13 years 11 months ago
Improved Approximations of Independent Sets in Bounded-Degree Graphs
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Magnús M. Halldórsson, Jaikumar Radh...
JCT
2007
117views more  JCT 2007»
13 years 7 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
COCOON
2003
Springer
14 years 23 days ago
Finding Hidden Independent Sets in Interval Graphs
We design efficient competitive algorithms for discovering hidden information using few queries. Specifically, consider a game in a given set of intervals (and their implied inte...
Therese C. Biedl, Brona Brejová, Erik D. De...
TCS
2008
13 years 7 months ago
Setting port numbers for fast graph exploration
We consider the problem of periodic graph exploration by a finite automaton in which an automaton with a constant number of states has to explore all unknown anonymous graphs of a...
David Ilcinkas
GC
2011
Springer
13 years 2 months ago
Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs
The Ramsey number r(H, Kn) is the smallest positive integer N such that every graph of order N contains either a copy of H or an independent set of size n. The Tur´an number ex(m,...
Tao Jiang, Michael Salerno