Realization of some Stanley-Reisner algebras and graph colorings
Algebraic Topology
2026-03-16 v1
Abstract
It is a classical problem in algebraic topology to decide whether a given graded -algebra can be realized as the cohomology ring of a space. In this paper, we introduce families of Stanley-Reisner algebras depending on graphs, and relate their realizability to the span coloring of the graph.
Cite
@article{arxiv.2510.26744,
title = {Realization of some Stanley-Reisner algebras and graph colorings},
author = {Yang Hu and Donald Stanley},
journal= {arXiv preprint arXiv:2510.26744},
year = {2026}
}