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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…