Displaying similar documents to “Estimates for homological dimension of configuration spaces of graphs”

Distance Magic Cartesian Products of Graphs

Sylwia Cichacz, Dalibor Froncek, Elliot Krop, Christopher Raridan (2016)

Discussiones Mathematicae Graph Theory

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A distance magic labeling of a graph G = (V,E) with |V | = n is a bijection ℓ : V → {1, . . . , n} such that the weight of every vertex v, computed as the sum of the labels on the vertices in the open neighborhood of v, is a constant. In this paper, we show that hypercubes with dimension divisible by four are not distance magic. We also provide some positive results by proving necessary and sufficient conditions for the Cartesian product of certain complete multipartite graphs and the...