14 citations · 17 across the 8 of their papers we have counts for
8 papers
Dice Relabeling Using Square-Sided Dice
Evelyn Fiore, George D. Nasr, Cooper Stone
We continue recent work of Chao, Gabel, Larson, and Nasr in using cyclotomic polynomials for dice relabeling. In their work, one idea they expand on is finding pairs of dice with d…
Combinatorics for Certain Skew Young Tableaux, Dyck Paths, Triangulations, and Dissections
Su Ji Hong, George D. Nasr
We present combinatorial bijections and identities between certain skew Young tableaux, Dyck paths, triangulations, and dissections.
Equivariant Kazhdan-Lusztig theory of paving matroids
Trevor Karn, George Nasr, Nicholas Proudfoot +1
We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the opera…
Ehrhart Theory of Paving and Panhandle Matroids
Derek Hanely, Jeremy L. Martin, Daniel McGinnis +4
We show that the base polytope of any paving matroid can be systematically obtained from a hypersimplex by slicing off certain subpolytopes, namely base polytopes of latt…
Stressed hyperplanes and Kazhdan-Lusztig gamma-positivity for matroids
Luis Ferroni, George D. Nasr, Lorenzo Vecchi
In this article we make several contributions of independent interest. First, we introduce the notion of stressed hyperplane of a matroid, essentially a type of cyclic flat that pe…
A Combinatorial Formula for Kazhdan-Lusztig Polynomials of Sparse Paving Matroids
Kyungyong Lee, George D. Nasr, Jamie Radcliffe
We prove the positivity of Kazhdan-Lusztig polynomials for sparse paving matroids, which are known to be logarithmically almost all matroids, but are conjectured to be almost all m…
A Combinatorial Formula for Kazhdan-Lusztig Polynomials of -Removed Uniform Matroids
Kyungyong Lee, George D. Nasr, Jamie Radcliffe
Let be a non-negative integer. A -removed uniform matroid is a matroid obtained from a uniform matroid by removing a collection of disjoint bases. We present a combinato…
A positivity phenomenon in Elser's Gaussian-cluster percolation model
Galen Dorpalen-Barry, Cyrus Hettle, David C. Livingston +4
Veit Elser proposed a random graph model for percolation in which physical dimension appears as a parameter. Studying this model combinatorially leads naturally to the consideratio…