The Laplacian Eigenvalues and Invariants of Graphs
arXiv:1407.5818
Abstract
In this paper, we investigate some relations between the invariants (including vertex and edge connectivity and forwarding indices) of a graph and its Laplacian eigenvalues. In addition, we present a sufficient condition for the existence of Hamiltonicity in a graph involving its Laplacian eigenvalues.
10 pages,Filomat, 2014