Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4287
Title: | Upper bounds on the Laplacian energy of some graphs |
Author: | Robbiano, M. Martins, E. A. Jiménez, R. Martín, B. S. |
Keywords: | Laplacian matrix Graph Bethe tree Laplacian energy |
Issue Date: | 2010 |
Publisher: | University of Kragujevac |
Abstract: | The Laplacian energy L£[G] of a simple graph G with n vertices and m edges is equal to the sum of distances of the Laplacian eigenvalues to their average. For 1 ≤ j ≤ s, let Aj be matrices of orders n j. Suppose that det(L(G) - λIn) = Πj=1s det(Aj- - λI n,j)tj, with tj > 0. In the present paper we prove LE[G) ≤ Σ j=1stj√n j||Aj-2m/n||F≤ √n||L(G) - 2m/nIn||F , where ||·||F stands for the Frobenius matrix norm. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4287 |
ISSN: | 0340-6253 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
upper bounds on laplacian spectra of some graphs.pdf | 155.25 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.