8 citations · 10 across the 6 of their papers we have counts for
6 papers
On the average number of cycles in conjugacy class products
Jesse Campion Loth, Amarpreet Rattan
We show that for the product of two fixed point free conjugacy classes, the average number of cycles is always very similar. Specifically, our main result is that for a randomly ch…
Moments of Colored Permutation Statistics on Conjugacy Classes
Jesse Campion Loth, Michael Levet, Kevin Liu +2
In this paper, we consider the moments of statistics on conjugacy classes of the colored permutation groups . We first show that…
Permutation Statistics in Conjugacy Classes of the Symmetric Group
Jesse Campion Loth, Michael Levet, Kevin Liu +3
We introduce the notion of a weighted inversion statistic on the symmetric group, and examine its distribution on each conjugacy class. Our work generalizes the study of several co…
Asymptotics of local face distributions and the face distribution of the complete graph
Jesse Campion Loth
We are interested in the distribution of the number of faces across all the cell embeddings of a graph, which is equivalent to the distribution of genus by Euler's formula. In…
Random Embeddings of Graphs: The Expected Number of Faces in Most Graphs is Logarithmic
Jesse Campion Loth, Kevin Halasz, Tomáš Masařík +2
A random 2-cell embedding of a connected graph in some orientable surface is obtained by choosing a random local rotation around each vertex. Under this setup, the number of fa…
Random 2-cell embeddings of multistars
Jesse Campion Loth, Kevin Halasz, Tomáš Masařík +2
Random 2-cell embeddings of a given graph are obtained by choosing a random local rotation around every vertex. We analyze the expected number of faces, , of s…