Article ID Journal Published Year Pages File Type
4603395 Linear Algebra and its Applications 2008 17 Pages PDF
Abstract

The multidimensional Manhattan street networks constitute a family of digraphs with many interesting properties, such as vertex symmetry (in fact they are Cayley digraphs), easy routing, Hamiltonicity, and modular structure. From the known structural properties of these digraphs, we determine their spectra, which always contain the spectra of hypercubes. In particular, in the standard (two-dimensional) case it is shown that their line digraph structure imposes the presence of the zero eigenvalue with a large multiplicity.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory