Authors: Stanković, Ivan
Milošević, Marko
Stevanović, Dragan 
Title: Small and not so small equienergetic graphs
Journal: Match
Volume: 61
Issue: 2
First page: 443
Last page: 450
Issue Date: 22-Jun-2009
Rank: M21a
ISSN: 0340-6253
Abstract: 
We show that, contrary to the claims of several authors that there exists no equienergetic graphs on seven vertices, there exists 21 sets of noncospectral, equienergetic graphs on seven vertices. We also give the number and cardinality of sets of equienergetic connected graphs on eight, nine and ten vertices, and equienergetic trees and chemical trees on up to 22 vertices. Finally, we construct two new infinite families of equienergetic graphs.
Publisher: Faculty of Sciences, University of Kragujevac
Project: Serbian Ministry of Science and Environmental Protection, research grants 144011, 144015G and 144026
Slovenian Agency for Research, research program P1-0285

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