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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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