Construction of Cohen-Macaulay binomial edge ideals
Asia Rauf, Giancarlo Rinaldo
TL;DR
This paper explores algebraic and homological properties of binomial edge ideals derived from graphs formed by gluing subgraphs and cones, advancing understanding of their structural characteristics.
Contribution
It introduces new insights into the properties of binomial edge ideals for complex graph constructions like gluing and cones.
Findings
Identifies algebraic properties of binomial edge ideals for glued graphs.
Analyzes homological aspects of cone-formed graph ideals.
Provides theoretical framework for future research in algebraic graph theory.
Abstract
We discuss algebraic and homological properties of binomial edge ideals associated to graphs which are obtained by gluing of subgraphs and the formation of cones.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Cholinesterase and Neurodegenerative Diseases