Article ID Journal Published Year Pages File Type
4601633 Linear Algebra and its Applications 2010 6 Pages PDF
Abstract

In this paper we characterize the unique graph whose least eigenvalue attains the minimum among all graphs of a fixed order and a given vertex (edge) independence number or vertex (edge) cover number, and get some bounds for the vertex (edge) independence number, vertex (edge) cover number of a graph in terms of the least eigenvalue of the graph.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory