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Automorphism Groups of Some Graphs for the Ring of Gaussian Integers Modulo $p^{s}$
Received:December 17, 2018
Revised:October 09, 2019
Key Words
:
automorphism
unit graph
unitary Cayley graph
Gaussian integers
Fund Project
:
Supported by the National Natural Science Foundation of China (Grant No.11771176).
Author Name
Affiliation
Hengbin ZHANG
School of Mathematical Sciences
,
Dalian University of Technology
,
Liaoning 116024
,
P. R. China
Jizhu NAN
School of Mathematical Sciences
,
Dalian University of Technology
,
Liaoning 116024
,
P. R. China
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:
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Abstract
:
In this paper, the automorphism group is completely determined, of the unitary Cayley graph, the unit graph and the total graph, over the ring of Gaussian integers modulo a prime power.
Citation:
DOI
:
10.3770/j.issn:2095-2651.2020.02.001
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