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» Finding Independent Sets in Unions of Perfect Graphs
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SODA
2010
ACM
234views Algorithms» more  SODA 2010»
14 years 5 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
JGT
2006
95views more  JGT 2006»
13 years 7 months ago
Maximal independent sets in graphs with at most r cycles
We find the maximum number of maximal independent sets in two families of graphs. The first family consists of all graphs with n vertices and at most r cycles. The second family i...
Goh Chee Ying, Koh Khee Meng, Bruce E. Sagan, Vinc...
OL
2010
140views more  OL 2010»
13 years 2 months ago
Approximation algorithms for finding and partitioning unit-disk graphs into co-k-plexes
This article studies a degree-bounded generalization of independent sets called co-k-plexes. Constant factor approximation algorithms are developed for the maximum co-k-plex probl...
Balabhaskar Balasundaram, Shyam Sundar Chandramoul...
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...
ISAAC
2005
Springer
153views Algorithms» more  ISAAC 2005»
14 years 1 months ago
Network Game with Attacker and Protector Entities
Consider an information network with harmful procedures called attackers (e.g., viruses); each attacker uses a probability distribution to choose a node of the network to damage. O...
Marios Mavronicolas, Vicky G. Papadopoulou, Anna P...