论文标题
有限群的独立图
The independence graph of a finite group
论文作者
论文摘要
给定一个有限的组$ g,$我们用$δ(g)$表示,其顶点为元素$ g $,如果存在最小的$ g $,其中两个顶点$ x $和$ y $相邻,其中包含$ x $和$ y的$ g $,我们证明了$δ(g)$ a $ g $ a $ g $ a $ g $ g $ g $ g $ g $ g $ g $ g $ g $ g($ g)。
Given a finite group $G,$ we denote by $Δ(G)$ the graph whose vertices are the elements $G$ and where two vertices $x$ and $y$ are adjacent if there exists a minimal generating set of $G$ containing $x$ and $y.$ We prove that $Δ(G)$ is connected and classify the groups $G$ for which $Δ(G)$ is a planar graph.