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- W2270893535 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 $G$." @default.
- W2270893535 created "2016-06-24" @default.
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- W2270893535 date "2015-06-01" @default.
- W2270893535 modified "2023-09-26" @default.
- W2270893535 title "On the Szeged and Eccentric connectivity indices of non-commutative graph of finite groups" @default.
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