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- Title
Some new sharp bounds for the spectral radius of a nonnegative matrix and its application.
- Authors
He, Jun; Liu, Yan-Min; Tian, Jun-Kang; Liu, Xiang-Hu
- Abstract
In this paper, we give some new sharp upper and lower bounds for the spectral radius of a nonnegative irreducible matrix. Using these bounds, we obtain some new and improved bounds for the signless Laplacian spectral radius of a graph or a digraph.
- Subjects
MATHEMATICAL bounds; NONNEGATIVE matrices; LAPLACIAN matrices; DIRECTED graphs; MATRICES (Mathematics)
- Publication
Journal of Inequalities & Applications, 2017, Vol 2017, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-017-1536-3