On Third Geometric-Arithmetic Index of Graphs

DAS, K. CH.; GUTMAN, I.; FURTULA, B.

doi:10.22052/ijmc.2010.5152

On Third Geometric-Arithmetic Index of Graphs

Document Type : Research Paper

Authors

K. CH. DAS ¹

I. GUTMAN ²

B. FURTULA ²

¹ Sungkyunkwan University, Republic of Korea

² University of Kragujevac, Serbia

10.22052/ijmc.2010.5152

Abstract

Continuing the work K. C. Das, I. Gutman, B. Furtula, On second geometric-arithmetic index of graphs, Iran. J. Math Chem., 1(2) (2010) 17-28, in this paper we present lower and upper bounds on the third geometric-arithmetic index GA3 and characterize the extremal graphs. Moreover, we give Nordhaus-Gaddum-type result for GA3.

Keywords

Graph

Molecular Graph

First geometric-arithmetic index

Second geometric-arithmetic index

Third geometric-arithmetic index