Article ID Journal Published Year Pages File Type
4602528 Linear Algebra and its Applications 2008 12 Pages PDF
Abstract

The spread of a graph is defined to be the difference between the largest eigenvalue and the least eigenvalue of the adjacency matrix of the graph. Let denote the set of connected unicyclic graphs of order n and girth k, and let Un denote the set of connected unicyclic graphs of order n. In this paper, we determine the unique graph with minimum least eigenvalue (respectively, the unique graph with maximum spread) among all graphs in . We, finally, characterize the unique graph with minimum least eigenvalue (respectively, the unique graph with maximum spread) among all graphs in Un.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory