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Drawing a Graph in a Hypercube

David R. Wood
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Abstract

A $d$-dimensional hypercube drawing of a graph represents the vertices by distinct points in $\{0,1\}^d$, such that the line-segments representing the edges do not cross. We study lower and upper bounds on the minimum number of dimensions in hypercube drawing of a given graph. This parameter turns out to be related to Sidon sets and antimagic injections.

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David R. Wood. 2005-09-20. Drawing a Graph in a Hypercube. https://arxiv.org/abs/math/0509455

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