Authors: | Stevanović, Dragan | Title: | Laplacian-like energy of trees | Journal: | Match | Volume: | 61 | Issue: | 2 | First page: | 407 | Last page: | 417 | Issue Date: | 22-Jun-2009 | Rank: | M21a | ISSN: | 0340-6253 | Abstract: | A few alternative definitions of (molecular) graph energy have recently appeared in the literature, among others the Laplacian energy-like invariant, or Laplacian-like energy, defined by Liu and Liu. It was already shown that the Laplacian-like energy shares a number of properties with the usual graph energy. Here we exhibit further similarities between them by showing that among the n-vertex trees, n 6 N, the star Sn has minimal Laplacian-like energy and the path Pn has maximal Laplacian-like energy. |
Publisher: | Faculty of Sciences, University of Kragujevac | Project: | Slovenian Agency for Research, program P1-0285 Serbian Ministry of Science and Environmental Protection, research grant 144015G |
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