{"title":"完整图与循环强积的精确顶点转发指数","authors":"Weimin Qian, Feng Li","doi":"10.1016/j.dam.2024.09.016","DOIUrl":null,"url":null,"abstract":"<div><div>Effectiveness represents a fundamental performance metric in network communication systems and is intricately tied to the routing made within the network. Since the vertex forwarding index is primarily employed to measure the load-bearing capacity of network nodes, it has become a crucial parameter for evaluating the quality of network routing. By investigating the topological parameters and properties of the Strong product network <span><math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>⊗</mo><msub><mrow><mi>C</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> and its factor networks (The undirected cycle networks <span><math><msub><mrow><mi>C</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> with <span><math><mrow><mi>c</mi><mo>≥</mo><mn>3</mn></mrow></math></span> vertices and the complete networks <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span> with <span><math><mrow><mi>k</mi><mo>≥</mo><mn>2</mn></mrow></math></span> vertices), we have determined the exact vertex forwarding index of Strong product graph <span><math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>⊗</mo><msub><mrow><mi>C</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, which depends solely on the number of vertices in the factor networks.</div></div>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Exact vertex forwarding index of the Strong product of complete graph and cycle\",\"authors\":\"Weimin Qian, Feng Li\",\"doi\":\"10.1016/j.dam.2024.09.016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Effectiveness represents a fundamental performance metric in network communication systems and is intricately tied to the routing made within the network. Since the vertex forwarding index is primarily employed to measure the load-bearing capacity of network nodes, it has become a crucial parameter for evaluating the quality of network routing. By investigating the topological parameters and properties of the Strong product network <span><math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>⊗</mo><msub><mrow><mi>C</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span> and its factor networks (The undirected cycle networks <span><math><msub><mrow><mi>C</mi></mrow><mrow><mi>c</mi></mrow></msub></math></span> with <span><math><mrow><mi>c</mi><mo>≥</mo><mn>3</mn></mrow></math></span> vertices and the complete networks <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>k</mi></mrow></msub></math></span> with <span><math><mrow><mi>k</mi><mo>≥</mo><mn>2</mn></mrow></math></span> vertices), we have determined the exact vertex forwarding index of Strong product graph <span><math><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>k</mi></mrow></msub><mo>⊗</mo><msub><mrow><mi>C</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math></span>, which depends solely on the number of vertices in the factor networks.</div></div>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0166218X24004062\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0166218X24004062","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Exact vertex forwarding index of the Strong product of complete graph and cycle
Effectiveness represents a fundamental performance metric in network communication systems and is intricately tied to the routing made within the network. Since the vertex forwarding index is primarily employed to measure the load-bearing capacity of network nodes, it has become a crucial parameter for evaluating the quality of network routing. By investigating the topological parameters and properties of the Strong product network and its factor networks (The undirected cycle networks with vertices and the complete networks with vertices), we have determined the exact vertex forwarding index of Strong product graph , which depends solely on the number of vertices in the factor networks.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.