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math.CO2019
The Homogenized Linial Arrangement and Genocchi Numbers
Alexander Lazar, Michelle L. Wachs
We study the intersection lattice of a hyperplane arrangement recently introduced by Hetyei who showed that the number of regions of the arrangement is a median Genocchi number. Us…
math.CO2019
On enumerators of Smirnov words by descents and cyclic descents
Brittney Ellzey, Michelle L. Wachs
A Smirnov word is a word over the positive integers in which adjacent letters must be different. A symmetric function enumerating these words by descent number arose in the work of…