Article ID Journal Published Year Pages File Type
4602206 Linear Algebra and its Applications 2009 6 Pages PDF
Abstract

It is shown that only a fraction of 2-Ω(n) of the graphs on n vertices have an integral spectrum. Although there are several explicit constructions of such graphs, no upper bound for their number has been known. Graphs of this type play an important role in quantum networks supporting the so-called perfect state transfer.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory