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» Lower Bounds for On-Line Graph Coloring
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DAM
2007
141views more  DAM 2007»
13 years 8 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
ESA
2008
Springer
142views Algorithms» more  ESA 2008»
13 years 10 months ago
Edge Coloring and Decompositions of Weighted Graphs
We consider two generalizations of the edge coloring problem in bipartite graphs. The first problem we consider is the weighted bipartite edge coloring problem where we are given a...
Uriel Feige, Mohit Singh
RSA
2011
121views more  RSA 2011»
13 years 3 months ago
Ramsey games with giants
: The classical result in the theory of random graphs, proved by Erd˝os and Rényi in 1960, concerns the threshold for the appearance of the giant component in the random graph pr...
Tom Bohman, Alan M. Frieze, Michael Krivelevich, P...
UAI
2004
13 years 10 months ago
A Complete Anytime Algorithm for Treewidth
In this paper, we present a Branch and Bound algorithm called QuickBB for computing the treewidth of an undirected graph. This algorithm performs a search in the space of perfect ...
Vibhav Gogate, Rina Dechter
ISAAC
2005
Springer
110views Algorithms» more  ISAAC 2005»
14 years 2 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