TY - JOUR
ID - 13630
TI - Reformulated F-index of graph operations
JO - Communications in Combinatorics and Optimization
JA - CCO
LA - en
SN - 2538-2128
AU - Aram, Hamideh
AU - Dehgardi, Nasrin
AD - Department of Mathematics
Gareziaeddin Center, Khoy Branch, Islamic Azad University, Khoy, Iran
AD - Department of Mathematics and Computer Science,
Sirjan University of Technology
Sirjan, I.R. Iran
Y1 - 2017
PY - 2017
VL - 2
IS - 2
SP - 87
EP - 98
KW - First general Zagreb index
KW - reformulated first general Zagreb index
KW - F-index
KW - reformulated F-index
DO - 10.22049/cco.2017.13630
N2 - 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.
UR - https://comb-opt.azaruniv.ac.ir/article_13630.html
L1 - https://comb-opt.azaruniv.ac.ir/article_13630_719b7afc30e723e9cbae02669009d3c6.pdf
ER -