{"title":"图通信能力的下限和上限","authors":"Amir Hossein Ghodrati , Mohammad Ali Hosseinzadeh","doi":"10.1016/j.ipl.2024.106501","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, some lower and upper bounds for the subgraph centrality and communicability of a graph are proved. The expected value of the normalized total communicability of a random <span><math><mi>G</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>p</mi><mo>)</mo></math></span> graph is also considered and asymptotically determined. Moreover, some computational results are presented to compare the bounds obtained in this paper with some other bounds in the literature.</p></div>","PeriodicalId":56290,"journal":{"name":"Information Processing Letters","volume":"187 ","pages":"Article 106501"},"PeriodicalIF":0.7000,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Lower and upper bounds on graph communicabilities\",\"authors\":\"Amir Hossein Ghodrati , Mohammad Ali Hosseinzadeh\",\"doi\":\"10.1016/j.ipl.2024.106501\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, some lower and upper bounds for the subgraph centrality and communicability of a graph are proved. The expected value of the normalized total communicability of a random <span><math><mi>G</mi><mo>(</mo><mi>n</mi><mo>,</mo><mi>p</mi><mo>)</mo></math></span> graph is also considered and asymptotically determined. Moreover, some computational results are presented to compare the bounds obtained in this paper with some other bounds in the literature.</p></div>\",\"PeriodicalId\":56290,\"journal\":{\"name\":\"Information Processing Letters\",\"volume\":\"187 \",\"pages\":\"Article 106501\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-05-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Information Processing Letters\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0020019024000310\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Information Processing Letters","FirstCategoryId":"94","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020019024000310","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
In this paper, some lower and upper bounds for the subgraph centrality and communicability of a graph are proved. The expected value of the normalized total communicability of a random graph is also considered and asymptotically determined. Moreover, some computational results are presented to compare the bounds obtained in this paper with some other bounds in the literature.
期刊介绍:
Information Processing Letters invites submission of original research articles that focus on fundamental aspects of information processing and computing. This naturally includes work in the broadly understood field of theoretical computer science; although papers in all areas of scientific inquiry will be given consideration, provided that they describe research contributions credibly motivated by applications to computing and involve rigorous methodology. High quality experimental papers that address topics of sufficiently broad interest may also be considered.
Since its inception in 1971, Information Processing Letters has served as a forum for timely dissemination of short, concise and focused research contributions. Continuing with this tradition, and to expedite the reviewing process, manuscripts are generally limited in length to nine pages when they appear in print.