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DM
2008
110views more  DM 2008»
13 years 5 months ago
Nonrepetitive colorings of graphs of bounded tree-width
A sequence of the form s1s2 . . . sms1s2 . . . sm is called a repetition. A vertex-coloring of a graph is called nonrepetitive if none of its paths is repetitively colored. We ans...
André Kündgen, Michael J. Pelsmajer
CORR
2011
Springer
138views Education» more  CORR 2011»
13 years 13 days ago
A new approach to nonrepetitive sequences
A sequence is nonrepetitive if it does not contain two adjacent identical blocks. The remarkable construction of Thue asserts that 3 symbols are enough to build an arbitrarily long...
Jaroslaw Grytczuk, Jakub Kozik, Piotr Micek
ENDM
2007
89views more  ENDM 2007»
13 years 5 months ago
Nonrepetitive colorings of graphs
Sebastian Czerwinski, Jaroslaw Grytczuk
RSA
2011
92views more  RSA 2011»
13 years 11 days ago
Highly nonrepetitive sequences: Winning strategies from the local lemma
We prove game-theoretic versions of several classical results on nonrepetitive sequences, showing the existence of winning strategies using an extension of the Local Lemma which c...
Wesley Pegden
APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 5 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