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Salem Numbers and Growth Series of Some Hyperbolic Graphs

โœ Scribed by Laurent Barthold; Tullio G. Ceccherini-Silberstein


Book ID
110332071
Publisher
Springer
Year
2002
Tongue
English
Weight
107 KB
Volume
90
Category
Article
ISSN
0046-5755

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## Abstract The vertex set of the reduced Kneser graph KG~2~(__m,2__) consists of all pairs {__a,b__} such that __a, b__ฮต{1,2,โ€ฆ,__m__} and 2โ‰ค|__a__โˆ’__b__|โ‰ค__m__โˆ’2. Two vertices are defined to be adjacent if they are disjoint. We prove that, if __m__โ‰ฅ4 __and m__โ‰ 5, then the circular chromatic number