Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number

Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number

In this paper, we defined two classes of hypergraphs, hyperbugs and kite hypergraphs. We show that balanced hyperbugs maximize the spectral radii of hypergraphs with fixed number of vertices and diameter and kite hypergraphs minimize the spectral radii of hypergraphs with fixed number of vertices an...

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Main Authors: Qiannan Niu, Haizhen Ren, Lei Zhang
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/5805239
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spelling doaj-0183a94c722f4d14a7dcb7dceb1ba8b52021-09-20T00:29:16ZengHindawi LimitedDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/5805239Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique NumberQiannan Niu0Haizhen Ren1Lei Zhang2School of Mathematics and StatisticsSchool of Mathematics and StatisticsSchool of Mathematics and StatisticsIn this paper, we defined two classes of hypergraphs, hyperbugs and kite hypergraphs. We show that balanced hyperbugs maximize the spectral radii of hypergraphs with fixed number of vertices and diameter and kite hypergraphs minimize the spectral radii of hypergraphs with fixed number of vertices and clique number.http://dx.doi.org/10.1155/2021/5805239
collection DOAJ
language English
format Article
sources DOAJ
author Qiannan Niu
Haizhen Ren
Lei Zhang
spellingShingle Qiannan Niu
Haizhen Ren
Lei Zhang
Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
Discrete Dynamics in Nature and Society
author_facet Qiannan Niu
Haizhen Ren
Lei Zhang
author_sort Qiannan Niu
title Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
title_short Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
title_full Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
title_fullStr Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
title_full_unstemmed Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique Number
title_sort sharp bounds on the spectral radii of uniform hypergraphs concerning diameter or clique number
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1607-887X
publishDate 2021-01-01
description In this paper, we defined two classes of hypergraphs, hyperbugs and kite hypergraphs. We show that balanced hyperbugs maximize the spectral radii of hypergraphs with fixed number of vertices and diameter and kite hypergraphs minimize the spectral radii of hypergraphs with fixed number of vertices and clique number.
url http://dx.doi.org/10.1155/2021/5805239
work_keys_str_mv AT qiannanniu sharpboundsonthespectralradiiofuniformhypergraphsconcerningdiameterorcliquenumber
AT haizhenren sharpboundsonthespectralradiiofuniformhypergraphsconcerningdiameterorcliquenumber
AT leizhang sharpboundsonthespectralradiiofuniformhypergraphsconcerningdiameterorcliquenumber
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