Reformulated F-index of graph operations

Document Type : Original paper


1 Department of Mathematics Gareziaeddin Center, Khoy Branch, Islamic Azad University, Khoy, Iran

2 Department of Mathematics and Computer Science, Sirjan University of Technology Sirjan, I.R. Iran


The 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.


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