A generalization of repetition threshold

被引：0
|
作者：
Ilie, L [1 ]
Ochem, P
Shallit, J
机构：
[1] Univ Western Ontario, Dept Comp Sci, London, ON N6A 5B7, Canada
[2] Univ Bordeaux 1, LaBRI, F-33405 Talence, France
[3] Univ Waterloo, Sch Comp Sci, Waterloo, ON N2L 3G1, Canada
来源：
MATHEMATICAL FOUNDATIONS OF COMPUTER SCIENCE 2004, PROCEEDINGS | 2004年 / 3153卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Brandenburg and (implicitly) Dejean introduced the concept of repetition threshold: the smallest real number alpha such that there exists an infinite word over a k-letter alphabet that avoids beta-powers for all beta > alpha. We generalize this concept to include the lengths of the avoided words. We give some conjectures supported by numerical evidence and prove three of these conjectures. As a consequence of one of our results, we show that the pattern ABCBABC is 2-avoidable. This resolves a question left open in Cassaigne's thesis.
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页码：818 / 826
页数：9
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