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arXiv · 1511.00272

The Smith group of the hypercube

David Chandler·Peter Sin·Qing Xiang
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Abstract

The $n$-cube graph is the graph on the vertex set of $n$-tuples of $0$s and $1$s, with two vertices joined by an edge if and only if the $n$-tuples differ in exactly one component. We compute the Smith group of this graph, or, equivalently, the elementary divisors of an adjacency matrix of the graph.

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David Chandler, Peter Sin, Qing Xiang. 2015-11-11. The Smith group of the hypercube. https://arxiv.org/abs/1511.00272

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