一些补图结构的 Y 指数及其在纳米管和纳米磷中的应用

IF 1.3 4区 数学 Q1 MATHEMATICS Journal of Mathematics Pub Date : 2024-01-17 DOI:10.1155/2024/4269325
Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi
{"title":"一些补图结构的 Y 指数及其在纳米管和纳米磷中的应用","authors":"Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi","doi":"10.1155/2024/4269325","DOIUrl":null,"url":null,"abstract":"Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the <i>Y</i>-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. Moreover, the <i>Y</i>-polynomial of titania nanotubes and the formulae for the <i>Y</i>-index, <i>Y</i>-polynomial, <i>F</i>-index, <i>F</i>-polynomial, and <i>Y</i>-coindex of the <span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 59.544 12.7178\" width=\"59.544pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,9.475,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,18.529,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,27.174,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,32.121,0)\"><use xlink:href=\"#g121-65\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,40.766,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,45.712,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,50.197,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,56.58,0)\"></path></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"61.674183799999994 -9.28833 12.455 12.7178\" width=\"12.455pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,61.724,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,69.434,0)\"></path></g></svg></span> and <span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 73.136 12.7178\" width=\"73.136pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g190-73\"></use></g><g transform=\"matrix(.013,0,0,-0.013,9.475,0)\"><use xlink:href=\"#g190-66\"></use></g><g transform=\"matrix(.013,0,0,-0.013,18.529,0)\"><use xlink:href=\"#g121-65\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,27.174,3.132)\"><use xlink:href=\"#g50-54\"></use></g><g transform=\"matrix(.013,0,0,-0.013,32.121,0)\"><use xlink:href=\"#g121-65\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,40.766,3.132)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,45.712,0)\"><use xlink:href=\"#g121-65\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,54.357,3.132)\"><use xlink:href=\"#g50-56\"></use></g><g transform=\"matrix(.013,0,0,-0.013,59.304,0)\"><use xlink:href=\"#g113-92\"></use></g><g transform=\"matrix(.013,0,0,-0.013,63.789,0)\"><use xlink:href=\"#g113-114\"></use></g><g transform=\"matrix(.013,0,0,-0.013,70.172,0)\"><use xlink:href=\"#g113-45\"></use></g></svg><span></span><svg height=\"12.7178pt\" style=\"vertical-align:-3.42947pt\" version=\"1.1\" viewbox=\"75.2651838 -9.28833 12.488 12.7178\" width=\"12.488pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,75.315,0)\"><use xlink:href=\"#g113-113\"></use></g><g transform=\"matrix(.013,0,0,-0.013,83.025,0)\"><use xlink:href=\"#g113-94\"></use></g></svg></span> nanotubes and their molecular complement graphs have been investigated.","PeriodicalId":54214,"journal":{"name":"Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-01-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus\",\"authors\":\"Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi\",\"doi\":\"10.1155/2024/4269325\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the <i>Y</i>-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. Moreover, the <i>Y</i>-polynomial of titania nanotubes and the formulae for the <i>Y</i>-index, <i>Y</i>-polynomial, <i>F</i>-index, <i>F</i>-polynomial, and <i>Y</i>-coindex of the <span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 59.544 12.7178\\\" width=\\\"59.544pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,9.475,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,18.529,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,27.174,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,32.121,0)\\\"><use xlink:href=\\\"#g121-65\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,40.766,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,45.712,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,50.197,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,56.58,0)\\\"></path></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"61.674183799999994 -9.28833 12.455 12.7178\\\" width=\\\"12.455pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,61.724,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,69.434,0)\\\"></path></g></svg></span> and <span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 73.136 12.7178\\\" width=\\\"73.136pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g190-73\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,9.475,0)\\\"><use xlink:href=\\\"#g190-66\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,18.529,0)\\\"><use xlink:href=\\\"#g121-65\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,27.174,3.132)\\\"><use xlink:href=\\\"#g50-54\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,32.121,0)\\\"><use xlink:href=\\\"#g121-65\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,40.766,3.132)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,45.712,0)\\\"><use xlink:href=\\\"#g121-65\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,54.357,3.132)\\\"><use xlink:href=\\\"#g50-56\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,59.304,0)\\\"><use xlink:href=\\\"#g113-92\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,63.789,0)\\\"><use xlink:href=\\\"#g113-114\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,70.172,0)\\\"><use xlink:href=\\\"#g113-45\\\"></use></g></svg><span></span><svg height=\\\"12.7178pt\\\" style=\\\"vertical-align:-3.42947pt\\\" version=\\\"1.1\\\" viewbox=\\\"75.2651838 -9.28833 12.488 12.7178\\\" width=\\\"12.488pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,75.315,0)\\\"><use xlink:href=\\\"#g113-113\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,83.025,0)\\\"><use xlink:href=\\\"#g113-94\\\"></use></g></svg></span> nanotubes and their molecular complement graphs have been investigated.\",\"PeriodicalId\":54214,\"journal\":{\"name\":\"Journal of Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-01-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1155/2024/4269325\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1155/2024/4269325","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0

摘要

拓扑描述符在化学纳米结构中发挥着重要作用。这些拓扑测量在化学、医学、生物学和计算机科学中有着明确的化学用途。本研究计算了一些图的 Y 指数,并补充了两个简单图之间的连接、张量、笛卡尔和强积、组成、析取和对称差等图运算。此外,还研究了二氧化钛纳米管的 Y-多项式,以及纳米管及其分子补图的 Y-指数、Y-多项式、F-指数、F-多项式和 Y-co 指数的计算公式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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
The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus
Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs. Moreover, the Y-polynomial of titania nanotubes and the formulae for the Y-index, Y-polynomial, F-index, F-polynomial, and Y-coindex of the and nanotubes and their molecular complement graphs have been investigated.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Journal of Mathematics
Journal of Mathematics Mathematics-General Mathematics
CiteScore
2.50
自引率
14.30%
发文量
0
期刊介绍: Journal of Mathematics is a broad scope journal that publishes original research articles as well as review articles on all aspects of both pure and applied mathematics. As well as original research, Journal of Mathematics also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.
期刊最新文献
An Unconditionally Stable Numerical Method for Space Tempered Fractional Convection-Diffusion Models On the Exterior Degree of a Finite-Dimensional Lie Algebra Study of Hybrid Problems under Exponential Type Fractional-Order Derivatives Hankel Determinants for the Logarithmic Coefficients of a Subclass of Close-to-Star Functions Characterizing Topologically Dense Injective Acts and Their Monoid Connections
×
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