%0 Journal Article
%T Reformulated F-index of graph operations
%J Communications in Combinatorics and Optimization
%I Azarbaijan Shahid Madani University
%Z 2538-2128
%A Aram, Hamideh
%A Dehgardi, Nasrin
%D 2017
%\ 09/01/2017
%V 2
%N 2
%P 87-98
%! Reformulated F-index of graph operations
%K First general Zagreb index
%K reformulated first general Zagreb index
%K F-index
%K reformulated F-index
%R 10.22049/cco.2017.13630
%X The first general Zagreb index is defined as $M_1^\lambda(G)=\sum_{v\in V(G)}d_{G}(v)^\lambda$ where $\lambda\in \mathbb{R}-\{0,1\}$. The case $\lambda=3$, is called F-index. Similarly, reformulated first general Zagreb index is defined in terms of edge-drees as $EM_1^\lambda(G)=\sum_{e\in E(G)}d_{G}(e)^\lambda$ and the reformulated F-index isĀ $RF(G)=\sum_{e\in E(G)}d_{G}(e)^3$. In this paper, we compute the reformulated F-index for some graph operations.
%U https://comb-opt.azaruniv.ac.ir/article_13630_719b7afc30e723e9cbae02669009d3c6.pdf