{"title":"参数为(81,30,9,12)的强正则图的新例子，自同构群为一个简单群A5","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":"{\"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}","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
摘要
在J. H. van Lint和A. Schrijver于1981年发现的已知的强正则图的满自同构群的某子群下，发现了一个具有参数(81,30,9,12)的新的强正则图。
New example of strongly regular graph with parameters (81,30,9,12) and a simple group A5 as the automorphism group
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.
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