Azarbaijan Shahid Madani UniversityCommunications in Combinatorics and Optimization2538-21282220170901Reformulated F-index of graph operations87981363010.22049/cco.2017.13630ENHamideh AramDepartment of Mathematics
Gareziaeddin Center, Khoy Branch, Islamic Azad University, Khoy, Iran0000-0003-3894-9214Nasrin DehgardiDepartment of Mathematics and Computer Science,
Sirjan University of Technology
Sirjan, I.R. Iran0000-0001-8214-6000Journal Article20170318The 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.https://comb-opt.azaruniv.ac.ir/article_13630_719b7afc30e723e9cbae02669009d3c6.pdf