On the α-Spectral Radius of Uniform Hypergraphs
For 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-spectral radius of a uniform hypergraph, prop...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Zielona Góra
2020-05-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.2268 |
| _version_ | 1827844643483549696 |
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| author | Guo Haiyan Zhou Bo |
| author_facet | Guo Haiyan Zhou Bo |
| author_sort | Guo Haiyan |
| collection | DOAJ |
| description | For 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-spectral radius of a uniform hypergraph, propose some transformations that increase the α-spectral radius, and determine the unique hypergraphs with maximum α-spectral radius in some classes of uniform hypergraphs. |
| first_indexed | 2024-03-12T08:44:48Z |
| format | Article |
| id | doaj.art-553a0beb0e6342d7a9fa5adbff74e3a3 |
| institution | Directory Open Access Journal |
| issn | 2083-5892 |
| language | English |
| last_indexed | 2024-03-12T08:44:48Z |
| publishDate | 2020-05-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae Graph Theory |
| spelling | doaj.art-553a0beb0e6342d7a9fa5adbff74e3a32023-09-02T16:29:32ZengUniversity of Zielona GóraDiscussiones Mathematicae Graph Theory2083-58922020-05-0140255957510.7151/dmgt.2268dmgt.2268On the α-Spectral Radius of Uniform HypergraphsGuo Haiyan0Zhou Bo1School of Mathematical Sciences, South China Normal UniversityGuangzhou510631, P.R. ChinaSchool of Mathematical Sciences, South China Normal UniversityGuangzhou510631, P.R. ChinaFor 0 ≤ α ---lt--- 1 and a uniform hypergraph G, the α-spectral radius of G is the largest H-eigenvalue of αD(G)+(1−α)A(G), where D(G) and A(G) are the diagonal tensor of degrees and the adjacency tensor of G, respectively. We give upper bounds for the α-spectral radius of a uniform hypergraph, propose some transformations that increase the α-spectral radius, and determine the unique hypergraphs with maximum α-spectral radius in some classes of uniform hypergraphs.https://doi.org/10.7151/dmgt.2268α-spectral radiusα-perron vectoradjacency tensoruniform hypergraphextremal hypergraph05c5005c65 |
| spellingShingle | Guo Haiyan Zhou Bo On the α-Spectral Radius of Uniform Hypergraphs Discussiones Mathematicae Graph Theory α-spectral radius α-perron vector adjacency tensor uniform hypergraph extremal hypergraph 05c50 05c65 |
| title | On the α-Spectral Radius of Uniform Hypergraphs |
| title_full | On the α-Spectral Radius of Uniform Hypergraphs |
| title_fullStr | On the α-Spectral Radius of Uniform Hypergraphs |
| title_full_unstemmed | On the α-Spectral Radius of Uniform Hypergraphs |
| title_short | On the α-Spectral Radius of Uniform Hypergraphs |
| title_sort | on the α spectral radius of uniform hypergraphs |
| topic | α-spectral radius α-perron vector adjacency tensor uniform hypergraph extremal hypergraph 05c50 05c65 |
| url | https://doi.org/10.7151/dmgt.2268 |
| work_keys_str_mv | AT guohaiyan ontheaspectralradiusofuniformhypergraphs AT zhoubo ontheaspectralradiusofuniformhypergraphs |