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A note on normalized Laplacian energy of graphs

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Abstract

Themain goal of this paper is to obtain some bounds for the normalized Laplacian energy of a connected graph. The normalized Laplacian energy of the line and para-line graphs of a graph are investigated. The relationship of the smallest and largest positive normalized Laplacian eigenvalues of graphs are also studied.

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Authors and Affiliations

  1. University of Kashan, Kashan, Iran

    M. Hakimi-Nezhaad & A. R. Ashrafi

Authors
  1. M. Hakimi-Nezhaad
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  2. A. R. Ashrafi
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Correspondence to M. Hakimi-Nezhaad.

Additional information

Original Russian Text © M. Hakimi-Nezhaad, A. R. Ashrafi, 2014, published in Izvestiya NAN Armenii. Matematika, 2014, No. 5, pp. 3–10.

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Hakimi-Nezhaad, M., Ashrafi, A.R. A note on normalized Laplacian energy of graphs. J. Contemp. Mathemat. Anal. 49, 207–211 (2014). https://doi.org/10.3103/S106836231405001X

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  • DOI: https://doi.org/10.3103/S106836231405001X

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