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» On the Grundy Number of a Graph
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SIROCCO
2007
15 years 7 months ago
Location Oblivious Distributed Unit Disk Graph Coloring
We present the first location oblivious distributed unit disk graph coloring algorithm having a provable performance ratio of three (i.e. the number of colors used by the algorit...
Mathieu Couture, Michel Barbeau, Prosenjit Bose, P...
DM
2008
68views more  DM 2008»
15 years 6 months ago
Heavy cycles in k-connected weighted graphs with large weighted degree sums
A weighted graph is one in which every edge e is assigned a nonnegative number w(e), called the weight of e. The weight of a cycle is defined as the sum of the weights of its edge...
Bing Chen, Shenggui Zhang, T. C. Edwin Cheng
JGT
2006
101views more  JGT 2006»
15 years 6 months ago
Distinguishing geometric graphs
We begin the study of distinguishing geometric graphs. Let G be a geometric graph. An automorphism of the underlying graph that preserves both crossings and noncrossings is called...
Michael O. Albertson, Debra L. Boutin
ESA
2005
Springer
93views Algorithms» more  ESA 2005»
15 years 12 months ago
New Tools and Simpler Algorithms for Branchwidth
Abstract. We provide new tools, such as k-troikas and good subtreerepresentations, that allow us to give fast and simple algorithms computing branchwidth. We show that a graph G ha...
Christophe Paul, Jan Arne Telle
IWPEC
2004
Springer
15 years 11 months ago
Online Problems, Pathwidth, and Persistence
Abstract. We explore the effects of using graph width metrics as restrictions on the input to online problems. It seems natural to suppose that, for graphs having some form of bou...
Rodney G. Downey, Catherine McCartin