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The effect on the adjacency and signless Laplacian spectral radii of uniform hypergraphs by grafting edges

Authors :
Peng Xiao
Ligong Wang
Source :
Linear Algebra and its Applications. 610:591-607
Publication Year :
2021
Publisher :
Elsevier BV, 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 Cvetkovic and Simic (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.

Details

ISSN :
00243795
Volume :
610
Database :
OpenAIRE
Journal :
Linear Algebra and its Applications
Accession number :
edsair.doi...........3cdcca062d3adb5afa4a816906f32df6
Full Text :
https://doi.org/10.1016/j.laa.2020.10.011