{"title":"A family of c-cyclic graphs with a Θ(|V|2log|V|) Kirchhoff index","authors":"José Luis Palacios","doi":"10.1016/j.exco.2023.100124","DOIUrl":null,"url":null,"abstract":"<div><p>By means of a recurrence, we provide a family of <span><math><mi>c</mi></math></span>-cyclic graphs, <span><math><mrow><mi>c</mi><mo>≥</mo><mn>0</mn></mrow></math></span>, whose Kirchhoff index is <span><math><mrow><mi>Θ</mi><mrow><mo>(</mo><msup><mrow><mrow><mo>|</mo><mi>V</mi><mo>|</mo></mrow></mrow><mrow><mn>2</mn></mrow></msup><mo>log</mo><mrow><mo>|</mo><mi>V</mi><mo>|</mo></mrow><mo>)</mo></mrow></mrow></math></span>.</p></div>","PeriodicalId":100517,"journal":{"name":"Examples and Counterexamples","volume":"4 ","pages":"Article 100124"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Examples and Counterexamples","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2666657X23000265","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
By means of a recurrence, we provide a family of -cyclic graphs, , whose Kirchhoff index is .