ℤn的Nil-clean图的一些拓扑指数

doi:10.3969/j.issn.1006-8074.2025.01.007

数学理论与应用 ›› 2025, Vol. 45 ›› Issue (1): 107-114.doi: 10.3969/j.issn.1006-8074.2025.01.007

ℤ_n的Nil-clean图的一些拓扑指数

苏华东^1,*; 梁准提²

1. 北部湾大学理学院, 钦州, 535011; 2. 广西大学数学与信息科学学院, 南宁, 530001

出版日期:2025-03-28 发布日期:2025-04-03

Some Topological Indices of Nil-clean Graphs of ℤ_n

SU Huadong^1,* ; LIANG Zhunti²

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)

摘要/Abstract

摘要： 本文确定模$n$剩余类环$\mathbb{Z}_n$的nil-clean图的，包括Sombor指数在内的，基于顶点度的几类拓扑指数.

关键词: Nil-clean图, 模$n$剩余类环, Sombor指数

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

苏华东, 梁准提.

ℤ_n的Nil-clean图的一些拓扑指数 [J]. 数学理论与应用, 2025, 45(1): 107-114.

SU Huadong, LIANG Zhunti.

Some Topological Indices of Nil-clean Graphs of ℤ_n [J]. Mathematical Theory and Applications, 2025, 45(1): 107-114.

ℤ_n的Nil-clean图的一些拓扑指数

Some Topological Indices of Nil-clean Graphs of ℤ_n

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ℤn的Nil-clean图的一些拓扑指数

Some Topological Indices of Nil-clean Graphs of ℤn

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ℤ_n的Nil-clean图的一些拓扑指数

Some Topological Indices of Nil-clean Graphs of ℤ_n