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Das, Kinkar Ch; Gutman, Ivan; Çevik, A. Sinan
Linear algebra and its applications, 02/2014, Volume: 442Journal Article
Let G be a connected graph of order n with Laplacian eigenvalues μ1⩾μ2⩾⋯⩾μn-1>μn=0. The Laplacian-energy-like invariant of the graph G is defined as LEL=LEL(G)=∑i=1n-1μi. Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees.
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