5 papers
Triangle Percolation on the Grid
Igor Araujo, Bryce Frederickson, Robert A. Krueger +5
We consider a geometric percolation process partially motivated by recent work of Hejda and Kala. Specifically, we start with an initial set , and then it…
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…
Classifications of -Zero-Sumfree Sets
Ashleigh Adams, Carole Hall, Eric Stucky
The set of all -zero-sumfree subsets of is a simplicial complex denoted by We create an algorithm via defining a set of integer partitio…
Parity-Unimodality and a Cyclic Sieving Phenomenon for Necklaces
Eric Nathan Stucky
We discuss two surprising properties of a family of polynomials that generalize the Mahonian -Catalan polynomials, and more generally the -Schröder polynomials. By interpreti…
A New [Combinatorial] Proof of the Commutativity of Matching Polynomials for Cycles
Garner Cochran, Corbin Groothuis, Andrew Herring +2
We prove some functional equations involving the (classical) matching polynomials of path and cycle graphs and the -matching polynomial of a cycle graph. A matching in a (finite…