Article ID Journal Published Year Pages File Type
4603642 Linear Algebra and its Applications 2007 9 Pages PDF
Abstract

This paper is concerned with the spectral version of the reconstruction conjecture: Whether a graph with n>2 vertices is determined (up to isomorphism) by the collection of its spectrum and the spectrum of its vertex-deleted graphs? Some positive results as well as a method for constructing counterexamples to the problem are provided.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory