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The Smith group of the hypercube graph

David B. Chandler,Peter Sin,Qing Xiang

Designs, Codes and Cryptography（2016）

Cited 7|Views5
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Abstract
The n -cube graph is the graph on the vertex set of n -tuples of 0s and 1s, 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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Key words
Hypercube,Association scheme,Smith normal form,05E30
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