A New Version of the Edge Geometric-Arithmetic Index

Subject Areas : International Journal of Industrial Mathematics

M. Saki ^{1 *}

1 - Department of Mathematics, Sousangerd Branch, Islamic Azad University, Sousangerd, Iran

Received: 2018-08-14 Accepted : 2018-11-30 Published : 2020-01-01

Keywords: Geometric – arithmetic index, Molecular graph, Line graph, Octane isomers, Nanotorus,

Abstract :

we consider the second of the edge version of geometric arithmetic index of graphs belonging to the class of geometric- arithmetic indices. Its related to the new versions of vertex Szeged index and PI index of line graphs. The main properties of are considered, such as upper and lower bounds. We compare the second version of the edge geometricarithmetic indices for some graphs, TUC4C6C8 [p,q]nanotorus and molecular octane isomers.

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