𝒫-energy of graphs

IF 0.3 Q4 COMPUTER SCIENCE, THEORY & METHODS Acta Universitatis Sapientiae Informatica Pub Date : 2020-07-01 DOI:10.2478/ausi-2020-0009
Prajakta Bharat Joshi, Mayamma Joseph
{"title":"𝒫-energy of graphs","authors":"Prajakta Bharat Joshi, Mayamma Joseph","doi":"10.2478/ausi-2020-0009","DOIUrl":null,"url":null,"abstract":"Abstract Given a graph G = (V, E), with respect to a vertex partition 𝒫 we associate a matrix called 𝒫-matrix and define the 𝒫-energy, E𝒫 (G) as the sum of 𝒫-eigenvalues of 𝒫-matrix of G. Apart from studying some properties of 𝒫-matrix, its eigenvalues and obtaining bounds of 𝒫-energy, we explore the robust(shear) 𝒫-energy which is the maximum(minimum) value of 𝒫-energy for some families of graphs. Further, we derive explicit formulas for E𝒫 (G) of few classes of graphs with different vertex partitions.","PeriodicalId":41480,"journal":{"name":"Acta Universitatis Sapientiae Informatica","volume":"2014 1","pages":"137 - 157"},"PeriodicalIF":0.3000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Universitatis Sapientiae Informatica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/ausi-2020-0009","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0

Abstract

Abstract Given a graph G = (V, E), with respect to a vertex partition 𝒫 we associate a matrix called 𝒫-matrix and define the 𝒫-energy, E𝒫 (G) as the sum of 𝒫-eigenvalues of 𝒫-matrix of G. Apart from studying some properties of 𝒫-matrix, its eigenvalues and obtaining bounds of 𝒫-energy, we explore the robust(shear) 𝒫-energy which is the maximum(minimum) value of 𝒫-energy for some families of graphs. Further, we derive explicit formulas for E𝒫 (G) of few classes of graphs with different vertex partitions.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
𝒫-energy的图形
摘要:给定图G = (V, E),对一个顶点划分,我们关联一个矩阵𝒫-matrix,并定义𝒫-energy, E (G)为G的𝒫-matrix的𝒫-eigenvalues的和。除了研究𝒫-matrix的一些性质,它的特征值和𝒫-energy的界外,我们还探讨了图族中𝒫-energy的最大(最小)值的鲁棒性(剪切性)𝒫-energy。进一步,我们导出了几种不同顶点划分的图的显式公式E - p (G)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Acta Universitatis Sapientiae Informatica
Acta Universitatis Sapientiae Informatica COMPUTER SCIENCE, THEORY & METHODS-
自引率
0.00%
发文量
9
期刊最新文献
E-super arithmetic graceful labelling of Hi(m, m), Hi(1) (m, m) and chain of even cycles On agglomeration-based rupture degree in networks and a heuristic algorithm On domination in signed graphs Connected certified domination edge critical and stable graphs Eccentric connectivity index in transformation graph Gxy+
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1