Mathematical Theory and Applications ›› 2025, Vol. 45 ›› Issue (1): 107-114.doi: 10.3969/j.issn.1006-8074.2025.01.007

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Some Topological Indices of Nil-clean Graphs of ℤn

SU Huadong1,* ; LIANG Zhunti2   

  1. 1. School of Science, Beibu Gulf University, Qinzhou 535011, China;  2. School of Mathematics and Information Science, Guangxi University, Nanning 530001, China
  • Online:2025-03-28 Published:2025-04-03
  • Supported by:
    This work is supported by the National Natural Science Foundation of China (Nos. 12261001, 12461001) and the Research Foundation Ability Enhancement Project for Young and Middle aged Teachers in Guangxi Universities (No. 025KY0477)

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Abstract: In this paper, we determine the Sombor index and some other vertex-degree-based topological indices for the nil-clean graphs of $\mathbb{Z}_n$, the ring of integers modulo $n$.

Key words: Nil-clean graph, Ring of integers modulo $n$, Sombor index

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