Antimagic labelings of grids
Martin Bača, Lin, Yuqing, Miller, Mirka · FedUni ResearchOnline (Federation University Australia) · 2007
In this paper we deal with the problem of labeling the vertices, edges and faces of a grid graph by the consecutive integers from 1 to |V| + |E| + |F| in such a way that the label of a face and the labels of the vertices and edges surrounding that face all together add up to a weight of that face. These face weights then form an arithmetic progression with common difference d.