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The effect on the adjacency and signless Laplacian spectral radii of uniform hypergraphs by grafting edges.
- Source :
-
Linear Algebra & its Applications . Feb2021, Vol. 610, p591-607. 17p. - Publication Year :
- 2021
-
Abstract
- In this paper, we investigate how the adjacency spectral radius and signless Laplacian spectral radius behave when a connected uniform hypergraph is perturbed by grafting edges. We extend the classical theorem of Li and Feng (1979) [10] about spectral radius from connected graphs to connected uniform hypergraphs by using a constructive method. This result also generalizes the results of Cvetković and Simić (2009) [2] , and Su et al. (2018) [22]. As applications, we determine the k -uniform supertrees of order n with the first two smallest adjacency spectral radii (signless Laplacian spectral radii, respectively). Also, we determine the k -uniform supertrees of order n with the first two smallest Laplacian spectral radii, in the case when k is even. [ABSTRACT FROM AUTHOR]
- Subjects :
- *RADIUS (Geometry)
*HYPERGRAPHS
*GRAPH connectivity
*EDGES (Geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 610
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 147382976
- Full Text :
- https://doi.org/10.1016/j.laa.2020.10.011