{"title":"非qe类的完全多部图","authors":"Nobuaki Obata","doi":"10.5614/ejgta.2023.11.2.14","DOIUrl":null,"url":null,"abstract":"We derive a formula for the QE constant of a complete multipartite graph and determine the complete multipartite graphs of non-QE class, namely, those which do not admit quadratic embeddings in a Euclidean space. Moreover, the primary non-QE graphs are specified among the complete multipartite graphs.","PeriodicalId":43771,"journal":{"name":"Electronic Journal of Graph Theory and Applications","volume":"15 3","pages":"0"},"PeriodicalIF":0.4000,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Complete multipartite graphs of non-QE class\",\"authors\":\"Nobuaki Obata\",\"doi\":\"10.5614/ejgta.2023.11.2.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We derive a formula for the QE constant of a complete multipartite graph and determine the complete multipartite graphs of non-QE class, namely, those which do not admit quadratic embeddings in a Euclidean space. Moreover, the primary non-QE graphs are specified among the complete multipartite graphs.\",\"PeriodicalId\":43771,\"journal\":{\"name\":\"Electronic Journal of Graph Theory and Applications\",\"volume\":\"15 3\",\"pages\":\"0\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Electronic Journal of Graph Theory and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5614/ejgta.2023.11.2.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Journal of Graph Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5614/ejgta.2023.11.2.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
We derive a formula for the QE constant of a complete multipartite graph and determine the complete multipartite graphs of non-QE class, namely, those which do not admit quadratic embeddings in a Euclidean space. Moreover, the primary non-QE graphs are specified among the complete multipartite graphs.
期刊介绍:
We publish research articles written in English in all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences.