N. Bašić, P. Fowler, Sara Sabrina Zemljič, P. Stadler, Nancy Retzlaff, T. Pisanski, Thomas Gatter, Jörg Fallmann, Sarah J. Berkemer
{"title":"Convexity Deficit of Benzenoids","authors":"N. Bašić, P. Fowler, Sara Sabrina Zemljič, P. Stadler, Nancy Retzlaff, T. Pisanski, Thomas Gatter, Jörg Fallmann, Sarah J. Berkemer","doi":"10.5562/CCA3602","DOIUrl":null,"url":null,"abstract":"In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological index intended for benzenoids and, more generally, fusenes. This index measures by how much a given fusene departs from convexity. It is defined in terms of the boundary-edges code. In particular, convex benzenoids are exactly the benzenoids having convexity deficit equal to 0. Quasi-convex benzenoids form the family of non-convex benzenoids that are closest to convex, i.e., they have convexity deficit equal to 1. Finally, we investigate convexity deficit of several important families of benzenoids.","PeriodicalId":10822,"journal":{"name":"Croatica Chemica Acta","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2020-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.5562/CCA3602","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Croatica Chemica Acta","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.5562/CCA3602","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 3
Abstract
In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological index intended for benzenoids and, more generally, fusenes. This index measures by how much a given fusene departs from convexity. It is defined in terms of the boundary-edges code. In particular, convex benzenoids are exactly the benzenoids having convexity deficit equal to 0. Quasi-convex benzenoids form the family of non-convex benzenoids that are closest to convex, i.e., they have convexity deficit equal to 1. Finally, we investigate convexity deficit of several important families of benzenoids.
期刊介绍:
Croatica Chemica Acta (Croat. Chem. Acta, CCA), is an international journal of the Croatian Chemical Society publishing scientific articles of general interest to chemistry.