Unit and unitary Cayley graphs for the ring of Gaussian integers modulo n

Ali Bahrami; Reza Jahani-Nezhad

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2024-03-21 18:00

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512.5+519.7 (2)

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SM ISO690:2012

ALI, Bahrami, REZA, Jahani-Nezhad. Unit and unitary Cayley graphs for the ring of Gaussian integers modulo n. In: Quasigroups and Related Systems, 2017, vol. 25, nr. 2(37), pp. 189-200. ISSN 1561-2848.

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Quasigroups and Related Systems

Volumul 25, Numărul 2(37) / 2017 / ISSN 1561-2848

Unit and unitary Cayley graphs for the ring of Gaussian integers modulo n

CZU: 512.5+519.7

MSC 2010: 13A99,16U99,05C50

Pag. 189-200

Ali Bahrami, Reza Jahani-Nezhad

University of Kashan

Disponibil în IBN: 16 decembrie 2018

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Let Zn[i] be the ring of Gaussian integers modulo n and G(Zn[i]) and GZn[i] be the unit graph and the unitary Cayley graph of Zn[i], respectively. In this paper, we study G(Zn[i]) and GZn[i]. Among many results, it is shown that for each positive integer n, the graphs G(Zn[i]) and GZn[i] are Hamiltonian. We also find a necessary and suficient condition for the unit and unitary Cayley graphs of Zn[i] to be Eulerian

Cuvinte-cheie
Unitgraph, unitaryCayleygraph, Gassianintegers, girth, diameter, Euleriangraph, Hamiltoniangraph

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