Symbolic Rees algebras, vertex covers and irreducible representations of Rees cones

Let \(G\) be a simple graph and let \(I_c(G)\) be its ideal of vertex covers. We give a graph theoretical description of the irreducible \(b\)-vertex covers of \(G\), i.e., we describe the minimal generators of the symbolic Rees algebra of \(I_c(G)\). Then we study the irreducible \(b\)-vertex cover...

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Bibliographic Details
Date:2018
Main Authors: Dupont, Luis A., Villarreal, Rafael H.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/651
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics