Anti-adjacency and Laplacian spectra of inverse graph of group of integers modulo n

Author:

Murni ,Hadi Agung Efriyo,Febry Ifkra,Abdussakir

Abstract

Abstract Research on the spectra of a graph still attracts the attention of many researchers over the last decades. In addition, research related to graphs obtained from an algebraic structure such as groups and rings is also growing. This paper determines the spectrum of the anti-adjacency and Laplacian matrices of inverse graph of a finite commutative group, namely the addition group of integers modulo n. It can be concluded that all eigenvalues of anti-adjacency and Laplacian matrices of the inverse graph of addition group of integers modulo n are integer

Publisher

IOP Publishing

Subject

General Medicine

Reference51 articles.

1. The Laplacian spectrum of graphs;Mohan;Graph Theory, Comb Appl,1991

2. The Laplacian spectrum of a graph II;Grone;SIAM J Discret Math,1994

3. The Laplacian spectrum of complex networks;Jamakovic,2006

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Laplacian Spectrum of Identity Graph of Commutative Ring $${\mathbb{Z}}_{2{\varvec{p}}}$$;Proceedings of the 12th International Conference on Green Technology (ICGT 2022);2023

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3