Bounds on normalized Laplacian eigenvalues of graphs

Abstract

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.