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Publications de l'Institut Mathématique.
Article . 2007 . Peer-reviewed
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https://dx.doi.org/10.2298/pim...
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Eigenvalue bounds for the signless laplacian

Eigenvalue bounds for the signless Laplacian
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2007 United Kingdom English Publisher:National Library of SerbiaJournal:Publications de l'Institut Mathematique (issn: 0350-1302, eissn: 1820-7405, Copyright policy )
Authors: Cvetkovic, Dragos; Rowlinson, Peter; Simic, Slobodan K;

doi: 10.2298/pim0795011c

handle: 1893/18513

Eigenvalue bounds for the signless laplacian

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.

Country
United Kingdom
Related Organizations
Keywords

Graphs and linear algebra (matrices, eigenvalues, etc.), signless Laplacian eigenvalues, line graphs, largest eigenvalue, 510, 004

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
117
Top 10%
Top 1%
Top 10%
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