On Second Geometric-Arithmetic Index of Graphs

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

doi:10.22052/ijmc.2010.5151

On Second 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.2010.5151

Abstract

The concept of geometric-arithmetic indices (GA) was put forward in chemical graph theory very recently. In spite of this, several works have already appeared dealing with these indices. In this paper we present lower and upper bounds on the second geometric-arithmetic index (GA2) and characterize the extremal graphs. Moreover, we establish Nordhaus-Gaddum-type results for GA2.

Keywords

Graph

Molecular Graph

First geometric-arithmetic index

Second geometric-arithmetic index

Third geometric-arithmetic index