Journal of Guangxi Normal University(Natural Science Edition) ›› 2011, Vol. 29 ›› Issue (2): 15-20.

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Zero-divisor Graph of Group Ring ZnD4

HUANG Yi-fei, YI Zhong, QIN Qing-ling   

  1. College of Mathematical Science,Guangxi Normal University,Guilin Guangxi 541004,China
  • Received:2011-01-15 Published:2018-11-19

Abstract: The zero-divisors of group ring ZnD4 are completely discussed in this paper,some results are obtained:diam(Γ(ZnD4))=2 if and only if n=2t,otherwise diam(Γ(ZnD4))=3;Γ(ZnD4) is non planar and gr(Γ(ZnD4))=3.The center of Γ(ZnD4) is given in the end.

Key words: group rings, zero-divisor graph, diameter, girth, planarity, center

CLC Number: 

  • O153.3
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