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» Last cases of Dejean's conjecture
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ITA
2008
165views Communications» more  ITA 2008»
8 years 7 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
SIAMDM
2010
138views more  SIAMDM 2010»
8 years 5 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...
RSA
2016
74views more  RSA 2016»
3 years 3 months ago
A product formula for the TASEP on a ring
nded abstract Erik Aas∗ and Jonas Sj¨ostrand† Dep. of Mathematics, Royal Institute of Technology, Stockholm, Sweden : For a random permutation sampled from the stationary dist...
Erik Aas, Jonas Sjöstrand
CPC
2007
112views more  CPC 2007»
8 years 7 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
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