3 papers
math.CO2019
Period mimicry: A note on the -evaluation of the peak polynomials
Justin M. Troyka
We briefly explore a sequence that came up in recent work of Tirrell and Zhuang. We discover an unusual phenomenon where the sequence appears at first to have periodic behavior but…
math.CO2018
On the centrosymmetric permutations in a class
Justin M. Troyka
A permutation is centrosymmetric if it is fixed by a half-turn rotation of its diagram. Initially motivated by a question by Alexander Woo, we investigate the question of whether t…
math.CO2018
Split graphs: combinatorial species and asymptotics
Justin M. Troyka
A split graph is a graph whose vertices can be partitioned into a clique and a stable set. We investigate the combinatorial species of split graphs, providing species-theoretic gen…