Azarbaijan Shahid Madani UniversityCommunications in Combinatorics and Optimization2538-21282220170901Reformulated F-index of graph operations87981363010.22049/cco.2017.13630ENHamidehAramDepartment of Mathematics
Gareziaeddin Center, Khoy Branch, Islamic Azad University, Khoy, IranNasrinDehgardiDepartment of Mathematics and Computer Science,
Sirjan University of Technology
Sirjan, I.R. IranJournal Article20170318The first general Zagreb index is defined as $M_1^lambda(G)=sum_{vin V(G)}d_{G}(v)^lambda$. The case $lambda=3$, is called F-index. Similarly, reformulated first general Zagreb index is defined in terms of edge-drees as $EM_1^lambda(G)=sum_{ein E(G)}d_{G}(e)^lambda$ and the reformulated F-index is $RF(G)=sum_{ein E(G)}d_{G}(e)^3$. In this paper, we compute the reformulated F-index for some graph operations.http://comb-opt.azaruniv.ac.ir/article_13630_719b7afc30e723e9cbae02669009d3c6.pdf