{"title":"一些纳米结构的Zagreb连接指数","authors":"Saba Manzoor, N. Fatima, A. A. Bhatti, Akbar Ali","doi":"10.2478/achi-2018-0011","DOIUrl":null,"url":null,"abstract":"Abstract The first Zagreb index (occurred in an approximate formula of total π-electron energy, communicated in 1972) and the second Zagreb index (appeared in 1975, within the study of molecular branching) are among the most studied topological indices. Recently, three modified versions of the Zagreb indices were proposed independently in [A. Ali, N. Trinajstić, A novel/old modification of the first Zagreb index, arXiv:1705.10430 [math.CO], 2017] and [A. M. Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Optim., 2017, 2, 99–117], which were named as the Zagreb connection indices and the leap Zagreb indices, respectively. In this paper, we derive formulas for calculating these modified versions of the Zagreb indices of four well known nanostructures.","PeriodicalId":6958,"journal":{"name":"Acta Chemica Iasi","volume":"1 1","pages":"169 - 180"},"PeriodicalIF":0.4000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Zagreb Connection Indices of Some Nanostructures\",\"authors\":\"Saba Manzoor, N. Fatima, A. A. Bhatti, Akbar Ali\",\"doi\":\"10.2478/achi-2018-0011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The first Zagreb index (occurred in an approximate formula of total π-electron energy, communicated in 1972) and the second Zagreb index (appeared in 1975, within the study of molecular branching) are among the most studied topological indices. Recently, three modified versions of the Zagreb indices were proposed independently in [A. Ali, N. Trinajstić, A novel/old modification of the first Zagreb index, arXiv:1705.10430 [math.CO], 2017] and [A. M. Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Optim., 2017, 2, 99–117], which were named as the Zagreb connection indices and the leap Zagreb indices, respectively. In this paper, we derive formulas for calculating these modified versions of the Zagreb indices of four well known nanostructures.\",\"PeriodicalId\":6958,\"journal\":{\"name\":\"Acta Chemica Iasi\",\"volume\":\"1 1\",\"pages\":\"169 - 180\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2018-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Chemica Iasi\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/achi-2018-0011\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Chemica Iasi","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/achi-2018-0011","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 9
摘要
第一个萨格勒布指数(出现于1972年的总π电子能量近似公式中)和第二个萨格勒布指数(出现于1975年的分子分支研究中)是目前研究最多的拓扑指数。最近，在[A]中分别提出了三个修改版本的Zagreb指数。[3]陈志强，张志强，张志强。一种基于数学模型的Zagreb指数[j] .中国科学:自然科学版。[c]， 2017。M. Naji, N. D. Soner, I. Gutman，图的跳跃萨格勒布指数，公共。梳子。Optim。[j]， 2017, 2, 99-117]，分别命名为萨格勒布连接指数和飞跃萨格勒布指数。在本文中，我们推导了计算四种已知纳米结构的这些修正版本的萨格勒布指数的公式。
Abstract The first Zagreb index (occurred in an approximate formula of total π-electron energy, communicated in 1972) and the second Zagreb index (appeared in 1975, within the study of molecular branching) are among the most studied topological indices. Recently, three modified versions of the Zagreb indices were proposed independently in [A. Ali, N. Trinajstić, A novel/old modification of the first Zagreb index, arXiv:1705.10430 [math.CO], 2017] and [A. M. Naji, N. D. Soner, I. Gutman, On leap Zagreb indices of graphs, Commun. Comb. Optim., 2017, 2, 99–117], which were named as the Zagreb connection indices and the leap Zagreb indices, respectively. In this paper, we derive formulas for calculating these modified versions of the Zagreb indices of four well known nanostructures.
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