Title of article :
Graphs with Smallest Forgotten Index
Author/Authors :
GUTMAN, I Faculty of Science - University of Kragujevac - 34000 Kragujevac - Serbia , GHALAVAND, A Department of Pure Mathematics - Faculty of Mathematical Science - University of Kashan , DEHGHAN–ZADEH, T Department of Pure Mathematics - Faculty of Mathematical Science - University of Kashan , ASHRAFI, A.R Department of Pure Mathematics - Faculty of Mathematical Science - University of Kashan
Abstract :
The forgotten topological index of a molecular graph G is defined as F(G)= vev (G)(V), where d(v) denotes the degree of vertex v 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 y = 1,2, the first through the fourth for y = 3, and the first and the second for y = 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
Journal title :
Astroparticle Physics
