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math.CO2018
Parity-Unimodality and a Cyclic Sieving Phenomenon for Necklaces
Eric Nathan Stucky
We discuss two surprising properties of a family of polynomials that generalize the Mahonian -Catalan polynomials, and more generally the -Schröder polynomials. By interpreti…
math.CO2018
A New [Combinatorial] Proof of the Commutativity of Matching Polynomials for Cycles
Garner Cochran, Corbin Groothuis, Andrew Herring +2
We prove some functional equations involving the (classical) matching polynomials of path and cycle graphs and the -matching polynomial of a cycle graph. A matching in a (finite…