The Smith group of the hypercube
arXiv:1511.00272
Abstract
The -cube graph is the graph on the vertex set of -tuples of s and s, with two vertices joined by an edge if and only if the -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.
17 pages. v2,. minor corrections