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» An agent-based algorithm for generalized graph colorings
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SODA
2000
ACM
121views Algorithms» more  SODA 2000»
13 years 8 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
AAIM
2005
Springer
122views Algorithms» more  AAIM 2005»
14 years 1 months ago
Complexity of Minimal Tree Routing and Coloring
Let G be a undirected connected graph. Given a set of g groups each being a subset of V (G), tree routing and coloring is to produce g trees in G and assign a color to each of them...
Xujin Chen, Xiao-Dong Hu, Xiaohua Jia
JCT
2008
81views more  JCT 2008»
13 years 7 months ago
Algebraic characterization of uniquely vertex colorable graphs
Abstract. The study of graph vertex colorability from an algebraic perspective has introduced novel techniques and algorithms into the field. For instance, it is known that k-color...
Christopher J. Hillar, Troels Windfeldt
ICALP
2009
Springer
14 years 7 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
PODC
2006
ACM
14 years 1 months ago
On the complexity of distributed graph coloring
Coloring the nodes of a graph with a small number of colors is one of the most fundamental problems in theoretical computer science. In this paper, we study graph coloring in a di...
Fabian Kuhn, Roger Wattenhofer