Computing the reciprocal distance signless Laplacian eigenvalues and energy of graphs

Authors

  • Abdollah Alhevaz Faculty of Mathematical Sciences, Shahrood University of Technology, Iran
  • Maryam Baghipur Faculty of Mathematical Sciences, Shahrood University of Technology, Iran
  • ‎Harishchandra Ramane Department of Mathematics‎, ‎Karnatak University, India

Abstract

‎In this paper‎, ‎we study the eigenvalues of the reciprocal distance signless Laplacian matrix of a connected graph and‎

‎obtain some bounds for the maximum‎

‎eigenvalue of this matrix‎. ‎We also focus on bipartite graphs and find some bounds for the spectral radius of the reciprocal distance signless Laplacian matrix of this class of graphs‎. ‎Moreover‎, ‎we give bounds for the reciprocal distance signless Laplacian energy.

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Published

2019-05-24

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Articoli