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On the Zero Divisor Graphs of the Ring of Lipschitz Integers Modulo n

Miguel, C. ; Grau, J. ; Oller-Marcén, A.

Advances in Applied Clifford Algebras Vol. 27, Nº 2, pp. 1191 - 1202, May, 2017.

ISSN (print): 0188-7009
ISSN (online): 1661-4909

Scimago Journal Ranking: 0,70 (in 2017)

Digital Object Identifier: 10.1007/s00006-016-0709-3

Abstract
This article studies the zero divisor graphs of the ring of Lipschitz
integers modulo n. In particular we focus on the number of vertices,
the diameter and the girth. We also give some results regarding
the domination number of these graphs.