2 papers
math.CO2024
Coalescence Probabilities of Cycle Products
Holden Mui
Generalizing a formula of Stanley, we prove combinatorially that the probability that are contained in the same cycle of a product of two random -cycles is \[\f…
math.CO2024
Flip Graphs on Self-Complementary Ideals of Chain Products
Serena An, Holden Mui
In this paper, we introduce a flip operation on self-complementary ideals of chain product posets and study the resulting flip graphs. We give asymptotics for the number of vertice…