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DAM
2006
191views more  DAM 2006»
13 years 5 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
SODA
2008
ACM
84views Algorithms» more  SODA 2008»
13 years 6 months ago
Robust cost colorings
We consider graph coloring problems where the cost of a coloring is the sum of the costs of the colors, and the cost of a color is a monotone concave function of the total weight ...
Takuro Fukunaga, Magnús M. Halldórss...
FSTTCS
2010
Springer
13 years 3 months ago
Finding Independent Sets in Unions of Perfect Graphs
ABSTRACT. The maximum independent set problem (MAXIS) on general graphs is known to be NPhard to approximate within a factor of n1-, for any > 0. However, there are many "...
Venkatesan T. Chakaravarthy, Vinayaka Pandit, Samb...
ICALP
2005
Springer
13 years 10 months ago
Approximation Algorithms for the Max-coloring Problem
Given a graph G = (V, E) and positive integral vertex weights w : V → N, the max-coloring problem seeks to find a proper vertex coloring of G whose color classes C1, C2, . . . ,...
Sriram V. Pemmaraju, Rajiv Raman
ISAAC
2005
Springer
110views Algorithms» more  ISAAC 2005»
13 years 10 months ago
Minimum Entropy Coloring
Abstract We study an information-theoretic variant of the graph coloring problem in which the objective function to minimize is the entropy of the coloring. The minimum entropy of ...
Jean Cardinal, Samuel Fiorini, Gwenaël Joret