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Log-concavity of characteristic polynomials and the Bergman fan of matroids

โœ Scribed by June Huh, Eric Katz


Book ID
120748175
Publisher
Springer
Year
2012
Tongue
English
Weight
240 KB
Volume
354
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES


Log-Concavity and Related Properties of
โœ Edward A. Bender; E.Rodney Canfield ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 520 KB

Let A n denote the nth-cycle index polynomial, in the variables X j , for the symmetric group on n letters. We show that if the variables X j are assigned nonnegative real values which are log-concave, then the resulting quantities A n satisfy the two inequalities A n&1 A n+1 A 2 n ((n+1)ร‚n)A n&1 A