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» Last cases of Dejean's conjecture
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SIAMDM
2010
138views more  SIAMDM 2010»
13 years 2 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...
ITA
2008
165views Communications» more  ITA 2008»
13 years 4 months ago
Dejean's conjecture and letter frequency
We prove two cases of a strong version of Dejean's conjecture involving extremal letter frequencies. The results are that there exist an infinite " 5 4 + " -free wor...
Jérémie Chalopin, Pascal Ochem
CPC
2007
112views more  CPC 2007»
13 years 4 months ago
Graphs with Large Girth Not Embeddable in the Sphere
In 1972, M. Rosenfeld asked if every triangle-free graph could be embedded in the unit sphere Sd in such a way that two vertices joined by an edge have distance more than √ 3 (i...
Pierre Charbit, Stéphan Thomassé
JAL
2006
86views more  JAL 2006»
13 years 4 months ago
An algorithmic sign-reversing involution for special rim-hook tableaux
Egecioglu and Remmel [2] gave an interpretation for the entries of the inverse Kostka matrix K-1 in terms of special rim-hook tableaux. They were able to use this interpretation to...
Bruce E. Sagan, Jaejin Lee