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
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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