{"title":"$k$-一致超图的距离(无符号)拉普拉斯特征值","authors":"Xiangxiang Liu, Ligong Wang","doi":"10.11650/tjm/220604","DOIUrl":null,"url":null,"abstract":". The distance (signless) Laplacian eigenvalues of a connected hypergraph are the eigenvalues of its distance (signless) Laplacian matrix. For all n -vertex k -uniform hypertrees, we determine the k -uniform hypertree with minimum second largest distance (signless) Laplacian eigenvalue. For all n -vertex k -uniform unicyclic hypergraphs, we obtain the k -uniform unicyclic hypergraph with minimum largest distance (signless) Laplacian eigenvalue, and the k -uniform unicyclic hypergraph with minimum second largest distance Laplacian eigenvalue.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Distance (Signless) Laplacian Eigenvalues of $k$-uniform Hypergraphs\",\"authors\":\"Xiangxiang Liu, Ligong Wang\",\"doi\":\"10.11650/tjm/220604\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The distance (signless) Laplacian eigenvalues of a connected hypergraph are the eigenvalues of its distance (signless) Laplacian matrix. For all n -vertex k -uniform hypertrees, we determine the k -uniform hypertree with minimum second largest distance (signless) Laplacian eigenvalue. For all n -vertex k -uniform unicyclic hypergraphs, we obtain the k -uniform unicyclic hypergraph with minimum largest distance (signless) Laplacian eigenvalue, and the k -uniform unicyclic hypergraph with minimum second largest distance Laplacian eigenvalue.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.11650/tjm/220604\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.11650/tjm/220604","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Distance (Signless) Laplacian Eigenvalues of $k$-uniform Hypergraphs
. The distance (signless) Laplacian eigenvalues of a connected hypergraph are the eigenvalues of its distance (signless) Laplacian matrix. For all n -vertex k -uniform hypertrees, we determine the k -uniform hypertree with minimum second largest distance (signless) Laplacian eigenvalue. For all n -vertex k -uniform unicyclic hypergraphs, we obtain the k -uniform unicyclic hypergraph with minimum largest distance (signless) Laplacian eigenvalue, and the k -uniform unicyclic hypergraph with minimum second largest distance Laplacian eigenvalue.