17 citations · 21 across the 3 of their papers we have counts for
3 papers
Gröbner Bases and Nullstellensätze for Graph-Coloring Ideals
Jesús A. De Loera, Susan Margulies, Michael Pernpeintner +5
We revisit a well-known family of polynomial ideals encoding the problem of graph--colorability. Our paper describes how the inherent combinatorial structure of the ideals impli…
models for random hypergraphs with a given degree sequence
Despina Stasi, Kayvan Sadeghi, Alessandro Rinaldo +2
We introduce the beta model for random hypergraphs in order to represent the occurrence of multi-way interactions among agents in a social network. This model builds upon and gener…
Toric algebra of hypergraphs
Sonja Petrović, Despina Stasi
The edges of any hypergraph parametrize a monomial algebra called the edge subring of the hypergraph. We study presentation ideals of these edge subrings, and describe their genera…