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Linear Algebra and its Applications
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Linear Algebra and its Applications
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Bicyclic graphs for which the least eigenvalue is minimum

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2009 English Publisher:Elsevier BVJournal:Linear Algebra and its Applications, volume 430, pages 1,328-1,335 (issn: 0024-3795, Copyright policy )
Authors: Bojana Borovićanin; Miroslav Petrović; Tatjana Aleksić;

doi: 10.1016/j.laa.2008.10.026

Bicyclic graphs for which the least eigenvalue is minimum

Abstract

AbstractThe spread of a graph is defined to be the difference between the greatest eigenvalue and the least eigenvalue of the adjacency matrix of the graph. In this paper we determine the unique graph with minimum least eigenvalue among all connected bicyclic graphs of order n. Also, we determine the unique graph with maximum spread in this class for each n⩾28.

Related Organizations
Keywords

Numerical Analysis, Algebra and Number Theory, Spread, Discrete Mathematics and Combinatorics, Bicyclic graph, Geometry and Topology, Index, Least eigenvalue

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citations
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!
31
Top 10%
Top 10%
Top 10%
hybrid