Article ID Journal Published Year Pages File Type
4652865 Electronic Notes in Discrete Mathematics 2007 7 Pages PDF
Abstract

In this note we describe a dynamic, d-dimensional toroidal puzzle, the duplication puzzle. It was first introduced in [Rosenfeld, M., A dynamic puzzle, Amer. Math. Monthly 98 (1991), 22–24]. We calculate some optimal solutions for the 2-dimensional toroidal puzzle, for higher dimensional tori and demonstrate how they might be used to improve known lower bounds of the Shannon Capacity of odd cycles.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics