Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13660-017-1536-3
Keywords
nonnegative matrix; graph; digraph; spectral radius
Categories
Funding
- Science and Technology Foundation of Guizhou Province [Qian ke he Ji Chu [2016]1161, Qian ke he J zi [2015]2147]
- Guizhou Province Natural Science Foundation in China [Qian Jiao He KY [2016]255, Qian Jiao He KY [2014]295, Qian Jiao He KY [2015]451]
- Doctoral Scientific Research Foundation of Zunyi Normal College [BS[2015]09]
- High-level Innovative Talents of Guizhou Province [Zun Ke He Ren Cai[2017]8]
- National Science Foundations of China [71461027]
- Science and Technology Talent Training Object of Guizhou Province outstanding youth [Qian ke he ren zi [2015]06]
- Zunyi 15851 Talents Elite Project
- Zhunyi Innovative Talent Team [Zunyi KH(2015)38]
- Guizhou Province Department of Education fund [KY[2015]391, [2016]046]
- Guizhou Province Department of Education Teaching Reform Project [[2015]337]
- Guizhou Province Science and Technology fund [Qian Ke He Ji Chu[2016]1160]
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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.
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