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

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  • Yanzhao Tian
  • Lixiang Li
  • Francesca Tartarone

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.

Suggested Citation

  • Yanzhao Tian & Lixiang Li & Francesca Tartarone, 2022. "Comments on the Clique Number of Zero-Divisor Graphs of Zn," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, March.
    • Handle: RePEc:hin:jjmath:6591317
    DOI: 10.1155/2022/6591317
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