Article ID Journal Published Year Pages File Type
4600260 Linear Algebra and its Applications 2012 9 Pages PDF
Abstract

We determine all trees whose second largest eigenvalue does not exceed . Next, we consider two classes of bipartite graphs, regular and semiregular, with small number of distinct eigenvalues. For all graphs considered we determine those whose second largest eigenvalue is equal to . Some additional results are also given.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory