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CORR
2007
Springer
113views Education» more  CORR 2007»
14 years 11 months ago
The road coloring problem
A synchronizing word of a deterministic automaton is a word in the alphabet of colors (considered as letters) of its edges that maps the automaton to a single state. A coloring of...
A. N. Trahtman
RSA
2006
88views more  RSA 2006»
14 years 11 months ago
Randomly coloring sparse random graphs with fewer colors than the maximum degree
We analyze Markov chains for generating a random k-coloring of a random graph Gn,d/n. When the average degree d is constant, a random graph has maximum degree (log n/ log log n), ...
Martin E. Dyer, Abraham D. Flaxman, Alan M. Frieze...
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
13 years 11 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
ASP
2003
Springer
15 years 5 months ago
Graphs and colorings for answer set programming: Abridged Report
We investigate rule dependency graphs and their colorings for characterizing the computation of answer sets of logic programs. To this end, we develop a series of operational chara...
Kathrin Konczak, Torsten Schaub, Thomas Linke
SIAMDM
2008
123views more  SIAMDM 2008»
14 years 11 months ago
Adapted List Coloring of Graphs and Hypergraphs
We introduce and study adapted list coloring of graphs and hypergraphs. This is a generalization of ordinary list coloring and adapted coloring, and has more applications than thes...
Alexandr V. Kostochka, Xuding Zhu