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» Graphs with full rank 3-color matrix and few 3-colorings
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JCT
2008
96views more  JCT 2008»
13 years 4 months ago
Graphs with full rank 3-color matrix and few 3-colorings
We exhibit a a counterexample to a conjecture of Thomassen stating that the number of distinct 3-colorings of every graph whose 3color matrix has full column rank is superpolynomi...
Serguei Norine, Jean-Sébastien Sereni
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 4 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