{"title":"Graph Operations Decreasing Values of Degree-Based Graph Entropies","authors":"Jingzhi Yan, Feng Guan","doi":"10.46793/match.89-2.405y","DOIUrl":null,"url":null,"abstract":"The degree-based graph entropy Id is a parametric measure derived from an information functional defined by vertex degrees of a graph, which is used to characterize the structure of complex networks. Determining minimal values of Id is challenging due to a lack of effective methods to analyze properties of minimal graphs. In this paper, we investigate minimal properties of the graph entropy in (n, m)-graphs and define two new graph operations, which can decrease the values of Id.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Match-Communications in Mathematical and in Computer Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.46793/match.89-2.405y","RegionNum":2,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The degree-based graph entropy Id is a parametric measure derived from an information functional defined by vertex degrees of a graph, which is used to characterize the structure of complex networks. Determining minimal values of Id is challenging due to a lack of effective methods to analyze properties of minimal graphs. In this paper, we investigate minimal properties of the graph entropy in (n, m)-graphs and define two new graph operations, which can decrease the values of Id.
期刊介绍:
MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.