%0 Journal Article
%T The F–Index for some Special Graphs and some Properties of the F–Index
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Yousefi, A.
%A Iranmanesh, A.
%A Dobrynin, A. A.
%A Tehranian, A.
%D 2018
%\ 09/01/2018
%V 9
%N 3
%P 213-225
%! The F–Index for some Special Graphs and some Properties of the F–Index
%K Forgotten topological index
%K Edge switching
%K Edge moving
%K Edge separating
%K k–apex tree
%R 10.22052/ijmc.2018.126298.1355
%X The "forgotten topological index" or "F–index" has been introduced by Furtula and Gutman in 2015. The F–index of a (molecular) graph is defined as the sum of cubes of the vertex degrees of the graph. In this paper, we compute this topological index for some special graphs such as Wheel graph, Barbell graph and Friendship graph. Moreover, the effects on the F–index are observed when some operations such as edge switching, edge moving and edge separating are applied to the graphs. Finally, we investigate degeneracy of F–index for small graphs.
%U https://ijmc.kashanu.ac.ir/article_70875_a7168a9c32e5ec25f431f0474ad9c70f.pdf