Turkish Journal of Mathematics
Abstract
The forgotten topological index is defined as the sum of cubes of the degrees of the vertices of the molecular graph $G.$ In this paper, we obtain, analyze, and compare various lower bounds for the forgotten topological index involving the number of vertices, edges, and maximum and minimum vertex degree. Then we give Nordhaus--Gaddum-type inequalities for the forgotten topological index and coindex. Finally, we correct the number of extremal chemical trees on 15 vertices.
DOI
10.3906/mat-1610-127
Keywords
First Zagreb index, second Zagreb index, forgotten topological index
First Page
1687
Last Page
1702
Recommended Citation
ELUMALAI, SURESH; MANSOUR, TOUFIK; and ROSTAMI, MOHAMMAD ALI
(2017)
"On the bounds of the forgotten topological index,"
Turkish Journal of Mathematics: Vol. 41:
No.
6, Article 25.
https://doi.org/10.3906/mat-1610-127
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss6/25
