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» Counting the number of independent sets in chordal graphs
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WEA
2005
Springer
154views Algorithms» more  WEA 2005»
14 years 1 months ago
Experimental Evaluation of the Greedy and Random Algorithms for Finding Independent Sets in Random Graphs
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
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