40 citations · 95 across the 43 of their papers we have counts for
4 papers · 1 filter
A conjecture on critical graphs and connections to the persistence of associated primes
Christopher A. Francisco, Huy Tai Ha, Adam Van Tuyl
We introduce a conjecture about constructing critically (s+1)-chromatic graphs from critically s-chromatic graphs. We then show how this conjecture implies that any unmixed height…
Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals
Christopher A. Francisco, Huy Tai Ha, Adam Van Tuyl
There is a natural one-to-one correspondence between squarefree monomial ideals and finite simple hypergraphs via the cover ideal construction. Let H be a finite simple hypergraph,…
Separators of fat points in P^n x P^m
Elena Guardo, Adam Van Tuyl
We introduce definitions for the separator of a fat point and the degree of a fat point for a fat point scheme Z in P^n x P^m, and we study some of their properties.
Separators of fat points in P^n
Elena Guardo, Lucia Marino, Adam Van Tuyl
In this paper we extend the definition of a separator of a point P in P^n to a fat point P of multiplicity m. The key idea in our definition is to compare the fat point schemes Z =…