Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (1): 10-16.

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Some results on the Laplacian energy of a graph

LIU Ying1, WU Bao-feng2   

  1. 1. Department of Mathematics and Statistics, Lixin University of Commerce, Shanghai 201620, China;2. School of Science, University of Shanghai forScience and Technology,200093, China
  • Received:2009-01-04 Revised:2009-05-08 Online:2010-01-25 Published:2010-01-25
  • Contact: LIU Ying

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Abstract: This paper studied the relation between the Lapacian energy with the singular values of the Laplacian matrix and obtain some results on the bound of the Laplacian energy on a graph. Changes of the energy caused by deletion of edges and vertices of a graph were also studied. The results may help to have a better understanding of pi-electron energy in a molecule in theoretical chemistry.

Key words: Laplacian energy, singular values, Laplacian eigenvalues, Laplacian energy, singular values

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