The edge ideal of a graph and its splitting graphs

Jürgen Herzog; Somayeh Moradi; Masoomeh Rahimbeigi

doi:10.1216/jca.2022.14.27

Abstract

We introduce and study the concept which we call the splitting of a graph and compare algebraic properties of the edge ideals of graphs and those of their splitting graphs.

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Jürgen Herzog. Somayeh Moradi. Masoomeh Rahimbeigi. "The edge ideal of a graph and its splitting graphs." J. Commut. Algebra 14 (1) 27 - 35, Spring 2022. https://doi.org/10.1216/jca.2022.14.27

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Received: 12 August 2019; Revised: 6 August 2019; Accepted: 8 August 2019; Published: Spring 2022

First available in Project Euclid: 31 May 2022

MathSciNet: MR4436334

Digital Object Identifier: 10.1216/jca.2022.14.27

Subjects:

Primary: 13F20

Secondary: 13H10

Keywords: Edge ideals , Graphs , resolutions , stretching operators

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