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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/5805239 |
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| _version_ | 1849687022666514432 |
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| author | Qiannan Niu Haizhen Ren Lei Zhang |
| author_facet | Qiannan Niu Haizhen Ren Lei Zhang |
| author_sort | Qiannan Niu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0183a94c722f4d14a7dcb7dceb1ba8b5 |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-0183a94c722f4d14a7dcb7dceb1ba8b52025-08-20T03:22:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/58052395805239Sharp Bounds on the Spectral Radii of Uniform Hypergraphs concerning Diameter or Clique NumberQiannan Niu0Haizhen Ren1Lei Zhang2School of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, ChinaSchool of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, ChinaSchool of Mathematics and Statistics, Qinghai Normal University, Xining, Qinghai 810008, ChinaIn 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/5805239 |
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