M. U. Rehman, M. Salman, Sheraz Khan, A. D. Maden, Faisal Ali
{"title":"Mostar index of graphs associated to groups","authors":"M. U. Rehman, M. Salman, Sheraz Khan, A. D. Maden, Faisal Ali","doi":"10.1515/mgmc-2022-0015","DOIUrl":null,"url":null,"abstract":"Abstract A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as compared to the other end vertex. In this study, we count the contribution of peripheral edges in commuting, non-commuting, and non-conjugate graphs associated to the dihedral and semi-dihedral groups. In fact, we compute the Mostar index of these graphs.","PeriodicalId":48891,"journal":{"name":"Main Group Metal Chemistry","volume":"45 1","pages":"124 - 135"},"PeriodicalIF":1.8000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Main Group Metal Chemistry","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.1515/mgmc-2022-0015","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, INORGANIC & NUCLEAR","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract A bond-additive connectivity index, named as the Mostar index, is used to measure the amount of peripheral edges of a simple connected graph, where a peripheral edge in a graph is an edge whose one end vertex has more number of vertices closer as compared to the other end vertex. In this study, we count the contribution of peripheral edges in commuting, non-commuting, and non-conjugate graphs associated to the dihedral and semi-dihedral groups. In fact, we compute the Mostar index of these graphs.
期刊介绍:
This journal is committed to the publication of short communications, original research, and review articles within the field of main group metal and semi-metal chemistry, Main Group Metal Chemistry is an open-access, peer-reviewed journal that publishes in ongoing way. Papers addressing the theoretical, spectroscopic, mechanistic and synthetic aspects of inorganic, coordination and organometallic main group metal and semi-metal compounds, including zinc, cadmium and mercury are welcome. The journal also publishes studies relating to environmental aspects of these metals, their toxicology, release pathways and fate. Articles on the applications of main group metal chemistry, including in the fields of polymer chemistry, agriculture, electronics and catalysis, are also accepted.