J4 ›› 2013, Vol. 48 ›› Issue (8): 1-4.

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An Upper Bound on the Sum of the k Largest Eigenvalues of  the Signless Laplacian Matrix of a Graph

JIN Guang-qing, ZUO Lian-cui*   

  1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China
  • Received:2013-01-01 Online:2013-08-20 Published:2013-08-21

Abstract:

The sum of the k largest eigenvalues of the signless Laplacian matrix of a simple connected graph is studied and an upper bound is obtained in terms of the degree sequence and the order of the graph.

Key words: signless Laplacian matrix; eigenvalues; upper bound

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