Abstract
Let G be a simple connected graph, and di be the degree of its vertex vi. In a recent paper, the geometric-arithmetic index was defined as [1]:(1) with summation going over all pairs of adjacent vertices. The fourth geometric-arithmetic (GA4(G)) index, which was defined in [2], and the definition is:(2) with summation going over all pairs of adjacent vertices, and ei denotes the eccentricity of its vertex vi. In this paper, we give some relations between GA4(G) index, and other indices like Zagreb indices, and Zagreb eccentricity indices.
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