Comments on the Clique Number of Zero-Divisor Graphs of Zn

Yanzhao Tian, Lixiang Li and Francesca Tartarone

Journal of Mathematics, 2022, vol. 2022, 1-11

Abstract: In 2008, J. Skowronek-kazio´w extended the study of the clique number ωGZn to the zero-divisor graph of the ring Zn, but their result was imperfect. In this paper, we reconsider ωGZn of the ring Zn and give some counterexamples. We propose a constructive method for calculating ωGZn and give an algorithm for calculating the clique number of zero-divisor graph. Furthermore, we consider the case of the ternary zero-divisor and give the generation algorithm of the ternary zero-divisor graphs.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6591317

DOI: 10.1155/2022/6591317

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