Article ID Journal Published Year Pages File Type
4652354 Electronic Notes in Discrete Mathematics 2009 6 Pages PDF
Abstract

The antibandwidth problem is to label vertices of graph G(V,E) bijectively by integers 0,1,…,|V|−1 in such a way that the minimal difference of labels of adjacent vertices is maximised. In this paper we study the antibandwidth of Hamming graphs. We provide labeling algorithms and tight upper bounds for general Hamming graphs . We have exact values for special choices of ni's and equality between antibandwidth and cyclic antibandwidth values.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics