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» Counting the number of independent sets in chordal graphs
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JGT
2007
85views more  JGT 2007»
13 years 7 months ago
On graphs with subgraphs having large independence numbers
: Let G be a graph on n vertices in which every induced subgraph on s = log3 n vertices has an independent set of size at least t = log n. What is the largest q = q(n) so that ever...
Noga Alon, Benny Sudakov
WDAG
2005
Springer
130views Algorithms» more  WDAG 2005»
14 years 1 months ago
Fast Deterministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs
Abstract. The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance. While there exists an elegant O(log n) time ...
Fabian Kuhn, Thomas Moscibroda, Tim Nieberg, Roger...
COCOON
2009
Springer
14 years 2 months ago
Convex Recoloring Revisited: Complexity and Exact Algorithms
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...
Iyad A. Kanj, Dieter Kratsch
STOC
2009
ACM
145views Algorithms» more  STOC 2009»
14 years 8 months ago
Finding, minimizing, and counting weighted subgraphs
d Abstract] Virginia Vassilevska School of Mathematics Institute for Advanced Study Princeton, NJ 08540 USA virgi@math.ias.edu Ryan Williams School of Mathematics Institute for Adv...
Virginia Vassilevska, Ryan Williams
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...