Convexity Deficit of Benzenoids

IF 0.7 4区 化学 Q4 CHEMISTRY, MULTIDISCIPLINARY Croatica Chemica Acta Pub Date : 2020-03-21 DOI:10.5562/CCA3602
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":" ","pages":""},"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.
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
苯类化合物的凹凸性缺陷
2012年,Cruz、Gutman和Rada引入了一个类苯化合物家族,他们称之为凸类苯化合物。在本文中,我们引入了凸性亏,这是一个新的拓扑指数,适用于苯并类,更广泛地说,稠烯。该指数通过给定的稠烯偏离凸性的程度来衡量。它是根据边界边代码定义的。特别地,凸的类苯正是凸性缺陷等于0的类苯。拟凸类苯形成了最接近凸的非凸类苯族,即它们具有等于1的凸性亏。最后,我们研究了几个重要的类苯族的凸性缺陷。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Croatica Chemica Acta
Croatica Chemica Acta 化学-化学综合
CiteScore
0.60
自引率
0.00%
发文量
3
审稿时长
18 months
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.
期刊最新文献
Spectrophotometric Determination of N-acetyl-L-Cysteine in Pharmaceutical Formulations by Flow Injection and Sequential Injection Analysis: Comparison of the Methods Comparison of Radon Adsorption on Hematite and Charcoal Activated Powder in Air Synthesis, Experimental and Theoretical Characterization of (μ4-oxo)hexakis(μ2-chloro)-tetrakis[1-(allyl)-1H-imidazole]tetracopper(II) Ecofriendly Synthesis of DHPMs using Copper-based Nano catalysts and Evaluation of Antibacterial Activity Influence of Bitartrate Ion Concentration in the Copper Electrodeposition Onto a Polycrystalline Gold Electrode
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1