{"title":"用MacLaurin级数方法求解强正则图参数的可行性","authors":"Vasco Moço Mano, L. Vieira","doi":"10.46300/9108.2022.16.10","DOIUrl":null,"url":null,"abstract":"In the environment of Euclidean Jordan algebras, we consider a Jordan frame associated to the adjacency matrix of a strongly regular graph and construct a MacLaurin series with an element of the frame. From this series we establish feasibility conditions for the existence of strongly regular graphs.","PeriodicalId":89779,"journal":{"name":"International journal of computers in healthcare","volume":"6 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Addressing the Feasibility of the Parameters of Strongly Regular Graphs with a MacLaurin Series Approach\",\"authors\":\"Vasco Moço Mano, L. Vieira\",\"doi\":\"10.46300/9108.2022.16.10\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the environment of Euclidean Jordan algebras, we consider a Jordan frame associated to the adjacency matrix of a strongly regular graph and construct a MacLaurin series with an element of the frame. From this series we establish feasibility conditions for the existence of strongly regular graphs.\",\"PeriodicalId\":89779,\"journal\":{\"name\":\"International journal of computers in healthcare\",\"volume\":\"6 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of computers in healthcare\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46300/9108.2022.16.10\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of computers in healthcare","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46300/9108.2022.16.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Addressing the Feasibility of the Parameters of Strongly Regular Graphs with a MacLaurin Series Approach
In the environment of Euclidean Jordan algebras, we consider a Jordan frame associated to the adjacency matrix of a strongly regular graph and construct a MacLaurin series with an element of the frame. From this series we establish feasibility conditions for the existence of strongly regular graphs.