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arXiv · 2510.26744

Realization of some Stanley-Reisner algebras and graph colorings

Yang Hu·Donald Stanley
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Abstract

It is a classical problem in algebraic topology to decide whether a given graded $\mathbb{Z}$-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.

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Yang Hu, Donald Stanley. 2025-10-30. Realization of some Stanley-Reisner algebras and graph colorings. https://arxiv.org/abs/2510.26744

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