{"title":"Some Bounds for the Vertex Degree Function Index of Connected Graphs with Given Minimum and Maximum Degrees","authors":"X. Cheng, Xueliang Li","doi":"10.46793/match.90-1.175c","DOIUrl":null,"url":null,"abstract":"This paper gives some bounds for the vertex degree function index Hf(G) in terms of the order and size of a graph G, where G is a simple, finite and connected graph with minimum degree δ and maximum degree ∆. Some families of graphs are also constructed to show that the bounds can be achieved.","PeriodicalId":51115,"journal":{"name":"Match-Communications in Mathematical and in Computer Chemistry","volume":"88 1","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2023-01-01","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.90-1.175c","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
This paper gives some bounds for the vertex degree function index Hf(G) in terms of the order and size of a graph G, where G is a simple, finite and connected graph with minimum degree δ and maximum degree ∆. Some families of graphs are also constructed to show that the bounds can be achieved.
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.
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