关于共一零分支图的支配集的一个注记
A Note on Domination Sets of Single ZeroComponent Graphs
DOI: 10.12677/PM.2026.161009, PDF,    国家自然科学基金支持
作者: 姚芳滢, 徐浩轩：江西理工大学理学院，江西 赣州
关键词: 共一零分支图；向量空间；支配集；Single Zero Component Graphs； Vector Spaces； Domination Sets
摘要: 设n ≥ 2，而Fn为有限域F 上的n 维向量空间. Ou的文章引入了Fn的共一零分支图Γ(Fn) 的概念. 当n = 3, 4 时，Ou的文章还刻画了Γ(Fn) 的最小支配集. 当n = 5 时，本文将对Γ(Fn) 的最小支配集给出完全刻画.
Abstract: Let n ≥ 2, and Fn be the n-dimensional vector space over a finite field F. In Ou's article, the authors introduced the single zero component graph Γ(Fn) of Fn, and described the minimum dominating sets of Γ(Fn) when n = 3,4. In this paper, we will give a complete characterization of the minimum dominating sets of Γ(Fn) when n = 5.
文章引用：姚芳滢, 徐浩轩. 关于共一零分支图的支配集的一个注记[J]. 理论数学, 2026, 16(1): 66-75. https://doi.org/10.12677/PM.2026.161009

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