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Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph
Author(s): Cardoso, Domingos M
Cvetkovic, Dragos
Rowlinson, Peter
Simic, Slobodan K
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Keywords: Graph theory
Graph spectra
Line graph
Signless Laplacian
Least eigenvalue
Issue Date: Dec-2008
Date Deposited: 28-Jan-2014
Citation: Cardoso DM, Cvetkovic D, Rowlinson P & Simic SK (2008) A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph. Linear Algebra and Its Applications, 429 (11-12), pp. 2770-2780.
Abstract: We prove that the minimum value of the least eigenvalue of the signless Laplacian of a connected non-bipartite graph with a prescribed number of vertices is attained solely in the unicyclic graph obtained from a triangle by attaching a path at one of its endvertices.
DOI Link: 10.1016/j.laa.2008.05.017
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