4.3 Article

Some new sharp bounds for the spectral radius of a nonnegative matrix and its application

期刊

出版社

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s13660-017-1536-3

关键词

nonnegative matrix; graph; digraph; spectral radius

资金

  1. Science and Technology Foundation of Guizhou Province [Qian ke he Ji Chu [2016]1161, Qian ke he J zi [2015]2147]
  2. 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]
  3. Doctoral Scientific Research Foundation of Zunyi Normal College [BS[2015]09]
  4. High-level Innovative Talents of Guizhou Province [Zun Ke He Ren Cai[2017]8]
  5. National Science Foundations of China [71461027]
  6. Science and Technology Talent Training Object of Guizhou Province outstanding youth [Qian ke he ren zi [2015]06]
  7. Zunyi 15851 Talents Elite Project
  8. Zhunyi Innovative Talent Team [Zunyi KH(2015)38]
  9. Guizhou Province Department of Education fund [KY[2015]391, [2016]046]
  10. Guizhou Province Department of Education Teaching Reform Project [[2015]337]
  11. Guizhou Province Science and Technology fund [Qian Ke He Ji Chu[2016]1160]

向作者/读者索取更多资源

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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