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» Finding Independent Sets in Unions of Perfect Graphs
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96
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SODA
2010
ACM
234views Algorithms» more  SODA 2010»
15 years 9 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
80
Voted
JGT
2006
95views more  JGT 2006»
14 years 11 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...
117
Voted
OL
2010
140views more  OL 2010»
14 years 6 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»
15 years 3 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»
15 years 5 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...