{"title":"New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group","authors":"Dean Crnković, Andrea Švob","doi":"10.1016/j.exco.2023.100119","DOIUrl":null,"url":null,"abstract":"<div><p>A new strongly regular graph with parameters <span><math><mrow><mo>(</mo><mn>81</mn><mo>,</mo><mn>30</mn><mo>,</mo><mn>9</mn><mo>,</mo><mn>12</mn><mo>)</mo></mrow></math></span> is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.</p></div>","PeriodicalId":100517,"journal":{"name":"Examples and Counterexamples","volume":"4 ","pages":"Article 100119"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-28","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/S2666657X23000216","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
A new strongly regular graph with parameters is found as a graph invariant under certain subgroup of the full automorphism group of the previously known strongly regular graph discovered in 1981 by J. H. van Lint and A. Schrijver.