Some kinds of energies of graphs
type: Item
instance of: scholarly article
title: Some kinds of energies of graphs
zbMATH Open document ID: 0796.05064
DOI: 10.1016/0012-365X(94)90119-8
author: Mirko Lepović
published in: Discrete Mathematics
publication date: 1994-09-15T00:00:00Z
review text: Let \(\lambda_ 1 \geq \lambda_ 2 \geq \cdots \geq \lambda_ n\) be the spectrum of a graph \(G\) of order \(n\), and let \(k\), \(l \geq 0\) be any nonnegative integers such that \(k + l<n\). The sum \(\sum^{n- l}_{\nu=k+1} | \lambda_ \nu |\) is called the reduced \((k, l) \)-energy of \(G\). For an arbitrary real constant \(\alpha \geq 1\), three theorems on finiteness of the set of all graphs whose reduced \((k,l)\)- energy does not exceed \(\alpha\), are proved.
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 562598
zbMATH Keywords: energy
zbMATH Keywords: spectrum
reviewed by: Aleksandar Torgašev
MaRDI profile type: Publication
cites work: Recent results in the theory of graph spectra
cites work: Q3981015
cites work: Q3216691
cites work: Q5187319
cites work: Q3939840
cites work: Graphs whose energy does not exceed 3
cites work: Q3988152
full work available at URL: 0012-365x(94)90119-8
OpenAlex ID: W1996250258
description: scientific article; zbMATH DE number 562598