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Spectral radius of uniform hypergraphs.
- Source :
-
Linear Algebra & its Applications . Aug2017, Vol. 527, p32-52. 21p. - Publication Year :
- 2017
-
Abstract
- We prove a result concerning the behavior of the spectral radius of a hypergraph under relocations of edges. We determine the unique hypergraphs with maximum spectral radius among connected k -uniform hypergraphs with fixed number of pendant edges, the unique k -uniform hypertrees with respectively maximum, second maximum and third maximum spectral radius, the unique k -uniform unicyclic hypergraphs ( k -uniform linear unicyclic hypergraphs, respectively) with respectively maximum and second maximum spectral radius. We also determine the unique hypergraphs with maximum spectral radius among k -uniform unicyclic hypergraphs with given girth. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 527
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 122948306
- Full Text :
- https://doi.org/10.1016/j.laa.2017.04.005