Some Bounds for the Regularity of the Edge Ideals and Their Powers in a Certain Class of Graphs-Reference-Cited by-同舟云学术

Some Bounds for the Regularity of the Edge Ideals and Their Powers in a Certain Class of Graphs

Published:2024-01-29 Issue:4 Volume:60 Page:237-248
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:SScMath

Author:

Ashitha Tom¹,Asir Thangaraj²,Hoang Do Trong³,Pournaki Mohammad Reza⁴

Affiliation:

1. Department of Mathematics, Deva Matha College, Kuravilangad-686 633, Kerala, India

2. Department of Mathematics, Pondicherry University, Puducherry-605 014, India

3. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Hanoi, Vietnam

4. Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11155-9415, Tehran, Iran

Abstract

Let 𝑛 ≥ 2 be an integer. The graph is obtained by letting all the elements of {0, … , 𝑛 − 1} to be the vertices and defining distinct vertices 𝑥 and 𝑦 to be adjacent if and only if gcd(𝑥 + 𝑦, 𝑛) ≠ 1. In this paper, we give some bounds for the Castelnuovo–Mumford regularity of the edge ideals and their powers for .

Publisher

Akademiai Kiado Zrt.

Link

https://akjournals.com/downloadpdf/journals/012/60/4/article-p237.xml

Reference14 articles.

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