Article ID Journal Published Year Pages File Type
4651175 Discrete Mathematics 2006 15 Pages PDF
Abstract

A sparse anti-magic square is an n×nn×n array whose non-zero entries are the consecutive integers 1,…,m1,…,m for some m⩽n2m⩽n2 and whose row-sums and column-sums form a set of consecutive integers. We derive some basic properties of these arrays and provide constructions for several infinite families of them. Our main interest in these arrays is their application to constructing vertex-magic labelings for bipartite graphs.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, ,