2 citations · 4 across the 5 of their papers we have counts for
8 papers
On Virtually Cohen-Macaulay Simplicial Complexes
Nathan Kenshur, Feiyang Lin, Sean McNally +2
We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtuall…
Completions of Uncountable Local Rings with Countable Spectra
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local (Noetherian) ring to be the completion of an uncountable local (Noetherian) domain with a countable spectrum. Our r…
Completions of Countable Excellent Domains and Countable Noncatenary Domains
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore,…
Gonality sequences of graphs
Ivan Aidun, Frances Dean, Ralph Morrison +2
To any graph we associate a sequence of integers called the gonality sequence of the graph, consisting of the minimum degrees of divisors of increasing rank on the graph. This is a…
Extended Nestohedra and their Face Numbers
Quang Dao, Christina Meng, Julian Wellman +3
Nestohedra are a family of convex polytopes that includes permutohedra, associahedra, and graph associahedra. In this paper, we study an extension of such polytopes, called extende…
Multi-color forcing in graphs
Chassidy Bozeman, Pamela E. Harris, Neel Jain +2
Let be a finite connected graph along with a coloring of the vertices of using the colors in a given set . In this paper, we introduce multi-color forcing, a gener…