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CORR
2007
Springer
113views Education» more  CORR 2007»
14 years 9 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 9 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 9 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 2 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 9 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