@article {
author = {Gutman, I. and Ghalavand, A. and Dehghan-Zadeh, T. and Ashrafi, A.},
title = {Graphs with smallest forgotten index},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {8},
number = {3},
pages = {259-273},
year = {2017},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2017.43258},
abstract = {The forgotten topological index of a molecular graph $G$ is defined as $F(G)=\sum_{v\in V(G)}d^{3}(v)$, where $d(u)$ denotes the degree of vertex $u$ in $G$. The first through the sixth smallest forgotten indices among all trees, the first through the third smallest forgotten indices among all connected graph with cyclomatic number $\gamma=1,2$, the first through the fourth for $\gamma=3$, and the first and the second for $\gamma=4,5$ are determined. These results are compared with those obtained for the first Zagreb index.},
keywords = {Forgotten topological index,Unicyclic graphs,Bicyclic graphs,Tricyclic graphs,Tetracyclic graphs,Pentacyclic graphs},
url = {http://ijmc.kashanu.ac.ir/article_43258.html},
eprint = {http://ijmc.kashanu.ac.ir/article_43258_60932aad8f9b423afed9a875153fe9a1.pdf}
}