Squarefree vertex cover algebras
Shamila Bayati, Farhad Rahmati
TL;DR
This paper introduces squarefree vertex cover algebras, explores their properties, and establishes conditions for their equivalence with ordinary vertex cover algebras and their standard grading, including a duality theorem.
Contribution
The paper defines squarefree vertex cover algebras and provides criteria for their equivalence with classical vertex cover algebras, along with a duality theorem.
Findings
Conditions when squarefree and ordinary vertex cover algebras coincide
Criteria for squarefree vertex cover algebras to be standard graded
A duality theorem for squarefree vertex cover algebras
Abstract
In this paper we introduce squarefree vertex cover algebras. We study the question when these algebras coincide with the ordinary vertex cover algebras and when these algebras are standard graded. In this context we exhibit a duality theorem for squarefree vertex cover algebras.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Rings, Modules, and Algebras