Shi-Mei Ma, Yeong-Nan Yeh
Published 2016-07-05Version 1
In this paper, we first present combinatorial proofs of a kind of expansions of the Eulerian polynomials of types A and B, and then we introduce Stirling permutations of the second kind. In particular, we count Stirling permutations of the second kind by their cycle ascent plateaus, fixed points and cycles.
Variations of the $α$-Eulerian polynomials and gamma positivity
Klazar trees and perfect matchings
An upper bound for the number of perfect matchings in graphs
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