Williams, Gerald (2014) 'Smith forms for adjacency matrices of circulant graphs.' Linear Algebra and its Applications, 443. pp. 2133. ISSN 00243795

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Official URL: http://dx.doi.org/10.1016/j.laa.2013.11.006
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.
Item Type:  Article 

Uncontrolled Keywords:  Smith normal form; Circulant graph; Adjacency matrix 
Subjects:  Q Science > QA Mathematics 
Divisions:  Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of 
SWORD Depositor:  Elements 
Depositing User:  Elements 
Date Deposited:  07 Jan 2014 11:32 
Last Modified:  06 Jan 2022 13:26 
URI:  http://repository.essex.ac.uk/id/eprint/8578 
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