Please use this identifier to cite or link to this item:
https://scidar.kg.ac.rs/handle/123456789/11552
Title: | On spectral radius and energy of extended adjacency matrix of graphs |
Authors: | das, kinkar ![]() Gutman I. ![]() ![]() Furtula, Boris ![]() ![]() |
Issue Date: | 2017 |
Abstract: | © 2016 Elsevier Inc. Let G be a graph of order n. For i=1,2,…,n, let di be the degree of the vertex vi of G. The extended adjacency matrix Aex of G is defined so that its (i, j)-entry is equal to 12(didj+djdi) if the vertices vi and vj are adjacent, and 0 otherwise,Yang et al. (1994). The spectral radius η1 and the energy Eex of the Aex-matrix are examined. Lower and upper bounds on η1 and Eex are obtained, and the respective extremal graphs characterized. |
URI: | https://scidar.kg.ac.rs/handle/123456789/11552 |
Type: | article |
DOI: | 10.1016/j.amc.2016.10.029 |
ISSN: | 0096-3003 |
SCOPUS: | 2-s2.0-84993944715 |
Appears in Collections: | Faculty of Science, Kragujevac |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
PaperMissing.pdf Restricted Access | 29.86 kB | Adobe PDF | ![]() View/Open |
Items in SCIDAR are protected by copyright, with all rights reserved, unless otherwise indicated.