Edge rings with $3$-linear resolutions

Abstract

It is shown that the edge ring of a finite connected simple graph with a $3$-linear resolution is a hypersurface.

8 pages, to appear in Proceedings of the American Mathematical Society

References in corpus (1)

• Ehrhart Theory of Spanning Lattice Polytopes

Cited by in corpus (6)

• Splittings of Toric Ideals
• Reflexive polytopes arising from bipartite graphs with $\gamma$-positivity associated to interior polynomials
• Edge rings with $q$-linear resolutions
• Edge rings of bipartite graphs with linear resolutions
• Nef-partitions arising from unimodular configurations
• On the $(S_2)$-condition of edge rings for cactus graphs