{"title":"Some Bounds on the Spectral Radius of Uniform Hypergraphs","authors":"Xiaona Fang, Yufei Huang, Lihua You","doi":"10.1007/s11464-021-0025-7","DOIUrl":null,"url":null,"abstract":"Let ℋ be a uniform hypergraph. In this paper, we obtain several bounds for the spectral radius of ℋ in terms of the parameters such as q-average-degrees, diameter, and characterize the corresponding extremal hypergraphs. Moreover, we discuss the change for the spectral radius of a uniform hypergraph after deleting a vertex, and give a comparison of our results with some known ones.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11464-021-0025-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Let ℋ be a uniform hypergraph. In this paper, we obtain several bounds for the spectral radius of ℋ in terms of the parameters such as q-average-degrees, diameter, and characterize the corresponding extremal hypergraphs. Moreover, we discuss the change for the spectral radius of a uniform hypergraph after deleting a vertex, and give a comparison of our results with some known ones.
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