Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599769 | Linear Algebra and its Applications | 2014 | 13 Pages |
Abstract
We calculate the Smith normal form of the adjacency matrix of each of the following graphs or their complements (or both): complete graph, cycle graph, square of the cycle, power graph of the cycle, distance matrix graph of cycle, Andrásfai graph, Doob graph, cocktail party graph, crown graph, prism graph, Möbius ladder. The proofs operate by finding the abelianization of a cyclically presented group whose relation matrix is column equivalent to the required adjacency matrix.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Gerald Williams,