Article ID Journal Published Year Pages File Type
4652952 Electronic Notes in Discrete Mathematics 2007 5 Pages PDF
Abstract

The n-dimensional Manhattan network Mn—a special case of n-regular digraph—is formally defined and some of its structural properties are studied. In particular, it is shown that Mn is a Cayley digraph, which can be seen as a subgroup of the n-dimensional version of the wallpaper group pgg and a closed-form for its diameter is obtained.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics