اندیس های سگد و همبندی از گراف ناجابجایی در گروه های متناهی
Publish place: Caspian Journal of Mathematical Sciences، Vol: 4، Issue: 1
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
View: 295
This Paper With 7 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CJMS-4-1_005
تاریخ نمایه سازی: 16 مهر 1398
Abstract:
Let $G$ be a non-abelian group. The non-commuting graph $Gamma_G$ of $G$ is defined as the graph whose vertex set is the non-central elements of $G$ and two vertices are joined if and only if they do not commute.In this paper we study some properties of $Gamma_G$ and introduce $n$-regular $AC$-groups. Also we then obtain a formula for Szeged index of $Gamma_G$ in terms of $n$, $|Z(G)|$ and $|G|$. Moreover, we determine eccentric connectivity index of $Gamma_G$ for every non-abelian finite group $G$ in terms of the number of conjugacy classes $k(G)$ and the size of the group $G$.
Keywords:
Authors
A. Azad
Arak University
N. ELahinezhad
Arak University