论文标题
在组$ u_ {6n} $的非公告图上
On the Non-Commuting Graph of the Group $U_{6n}$
论文作者
论文摘要
有限组$ g $的非公认图是一个图表，其顶点是$ g $的非中央元素，如果不以$ g $的价格上下班，则两个顶点相邻。在本文中，我们研究了组$ u_ {6n} $的非公认图，并探索其某些属性，包括独立数字，集团和色数。同样，还提供了组$ u_ {6n} $的非公认图的多项式的一般公式。此外，我们发现该图的弯路指数，偏心连通性，总偏心率和独立的多项式。
A non-commuting graph of a finite group $G$ is a graph whose vertices are non-central elements of $G$ and two vertices are adjacent if they don't commute in $G$. In this paper, we study the non-commuting graph of the group $U_{6n}$ and explore some of its properties including the independent number, clique and chromatic numbers. Also, the general formula of the resolving polynomial of the non-commuting graph of the group $U_{6n}$ are provided. Furthermore, we find the detour index, eccentric connectivity, total eccentricity and independent polynomials of the graph.
