Article citationsMore>>

Bóna, M. and Ehrenborg, R. (2000) A Combinatorial Proof of the Log-Concavity of the Numbers of Permutations with k Runs. Journal of Combinatorial Theory, Series A, 90, 293-303.
https://doi.org/10.1006/jcta.1999.3040

has been cited by the following article:

• TITLE: A Relationship between the Partial Bell Polynomials and Alternating Run Polynomials

  AUTHORS: Yanan Feng, Zhe Wang

  KEYWORDS: Alternating Run Polynomials, Bell Polynomials, Permutations

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.13 No.2, April 28, 2023

  ABSTRACT: In this note, we first derive an exponential generating function of the alternating run polynomials. We then deduce an explicit formula of the alternating run polynomials in terms of the partial Bell polynomials.