Automorphism Groups of Some Graphs for the Ring of Gaussian Integers Modulo $p^{s}$
Received:December 17, 2018  Revised:October 09, 2019
Key Word: automorphism   unit graph   unitary Cayley graph   Gaussian integers  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant No.11771176).
Author NameAffiliation
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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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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