Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Bounds on normalized Laplacian eigenvalues of graphs

Language

English

Abstract

© 2014, Li et al.; licensee Springer. Let G be a simple connected graph of order n, where [InlineEquation not available: see fulltext.]. Its normalized Laplacian eigenvalues are [InlineEquation not available: see fulltext.]. In this paper, some new upper and lower bounds on [InlineEquation not available: see fulltext.] are obtained, respectively. Moreover, connected graphs with [InlineEquation not available: see fulltext.] (or [InlineEquation not available: see fulltext.]) are also characterized. MSC:05C50, 15A48.

Keywords

bound, largest eigenvalue, normalized Laplacian eigenvalue

Publication Date

2014

Source Publication Title

Journal of Inequalities and Applications

Volume

316

Publisher

SpringerOpen

DOI

10.1186/1029-242X-2014-316

Link to Publisher's Edition

http://dx.doi.org/10.1186/1029-242X-2014-316

ISSN (print)

10255834

ISSN (electronic)

1029242X

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