160 citations · 199 across the 25 of their papers we have counts for
3 papers · 1 filter
Strongly regular graph, strongly polynomial sequences, and two-level polynomials
Tristram Bogart, Santiago Jiménez-Salazar
We study the behavior of the characteristic and chromatic polynomials of certain families of graphs and their relation to homomorphism counts, focusing on polynomial dependence of…
Optimal Small Set Expanders and Their Codes
Tristram Bogart, Marcelo Fiori, Pedro Raigorodsky +1
A left-regular bipartite graph of degree is called a -small-set-expander if every subset of left vertices of size at most has at least neighbors. Such…
A differential characterization of volume polynomials of permutohedra
Tristram Bogart, Federico Castillo, Damián de la Fuente +1
We study a graded vector space of polynomials associated to a square matrix, defined by a finite difference condition along the rows. We show this space coincides with one defined…