Authors: Cvetković, Dragoš
Rowlinson, Peter
Simić, Slobodan 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Eigenvalue bounds for the signless laplacian
Journal: Publications de l'Institut Mathematique
Issue: 95
First page: 11
Last page: 27
Issue Date: 1-Jan-2007
ISSN: 0350-1302
DOI: 10.2298/PIM0795011C
Abstract: 
We extend our previous survey of properties of spectra of signless Laplacians of graphs. Some new bounds for eigenvalues are given, and the main result concerns the graphs whose largest eigenvalue is maximal among the graphs with fixed numbers of vertices and edges. The results are presented in the context of a number of computer-generated conjectures.
Keywords: Graph spectra | Graph theory | Line graph | Signless Laplacian
Publisher: Mathematical Institute of the SASA
Project: Serbian Ministry of Science, Grant 144015G

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