Title of article :
The F–Index for some Special Graphs and some Properties of the F–Index
Author/Authors :
Yousefi ، ASGHAR - Islamic Azad University, Science and Research Branch , Iranmanesh ، ALI - Tarbiat Modares University , Dobrynin ، ANDREY A. - Siberian Branch of the Russian Academy of Sciences Sciences , Tehranian ، ABOLFAZL - Islamic Azad University, Science and Research Branch
Abstract :
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.
Keywords :
Forgotten topological index , Edge switching , Edge moving , Edge separating , k–apex tree
Journal title :
Iranian Journal of Mathematical Chemistry
Journal title :
Iranian Journal of Mathematical Chemistry
