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Distance (signless) Laplacian spectral radius of uniform hypergraphs.

Authors :
Lin, Hongying
Zhou, Bo
Wang, Yanna
Source :
Linear Algebra & its Applications. Sep2017, Vol. 529, p271-293. 23p.
Publication Year :
2017

Abstract

We determine the unique hypergraphs with minimum distance Laplacian spectral radius among connected k -uniform hypergraphs and k -uniform hypertrees, respectively. We also determine the unique hypergraphs with minimum distance signless Laplacian spectral radius among connected k -uniform hypergraphs, k -uniform hypertrees, and connected k -uniform hypergraphs with given number of pendant edges, respectively. We propose a graft transformation for uniform hypergraphs that increases the distance Laplacian (distance signless Laplacian, respectively) spectral radius, and as applications, we determine the unique power hypertrees with maximum distance Laplacian (distance signless Laplacian, respectively) spectral radius. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
529
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
123466510
Full Text :
https://doi.org/10.1016/j.laa.2017.04.020