BOUNDS FOR THE GEOMETRIC-ARITHMETIC INDEX OF A GRAPH

作者：Sigarreta Jose M^*

来源：Miscolc Mathematical Notes, 2015, 16(2): 1199-1212.

DOI：10.18514/mmn.2015.1423

• graph invariant
• inequalities
• topological index
• geometric-arithmetic index

The first geometric-arithmetic index GA(1)(G), which was introduced by D. Vukicevic and B. Furtula recently, is a graph-based molecular structure descriptor. The aim of this paper is to obtain new inequalities involving the geometric-arithmetic index GA(1) and other well known topological indices. In particular, we relate the geometric-arithmetic index of a graph G with its first Zagreb index M-1 (G), its second Zagreb index M-2 (G), its modified Zagreb index Z_(1)(G) and its Randie index R(G).

• 出版日期2015