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The Linear Unicyclic Hypergraph with the Second or Third Largest Spectral Radius.
- Source :
-
Acta Mathematica Sinica . Oct2020, Vol. 36 Issue 10, p1140-1150. 11p. - Publication Year :
- 2020
-
Abstract
- The spectral radius of a uniform hypergraph is defined to be that of the adjacency tensor of the hypergraph. It is known that the unique unicyclic hypergraph with the largest spectral radius is a nonlinear hypergraph, and the unique linear unicyclic hypergraph with the largest spectral radius is a power hypergraph. In this paper we determine the unique linear unicyclic hypergraph with the second or third largest spectral radius, where the former hypergraph is a power hypergraph and the latter hypergraph is a non-power hypergraph. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RADIUS (Geometry)
*HYPERGRAPHS
*MATRICES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 36
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 146556001
- Full Text :
- https://doi.org/10.1007/s10114-020-0089-4