On the formula of Goulden and Rattan for Kerov polynomials

Abstract

We give a simple proof of an explicit formula for Kerov polynomials. This formula is closely related to a formula of Goulden and Rattan.

arXiv comment4 pages

Cited by in corpus (6)

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• Explicit combinatorial interpretation of Kerov character polynomials as numbers of permutation factorizations
• Combinatorial interpretation and positivity of Kerov's character polynomials
• Upper bound on the characters of the symmetric groups for balanced Young diagrams and a generalized Frobenius formula
• Linear versus spin: representation theory of the symmetric groups
• Asymptotics of characters of symmetric groups: structure of Kerov character polynomials