Recently a class of so-called 'geometric-arithmetic' topological indices (GA) was put forward, defined as the sum over all edges (uv) of a (molecular) graph G, of terms root Q(u)Q(v)/1/2(Q(u) + Q(v)), where Q(u) is some quantity associated with the vertex u of G. One variant of GA was obtained for Q(u) is the number of vertices of G, lying closer to vertex u than to vertex v. We obtain bounds for this GA-index, and also put forward an analogous one, for which Q(u) is the number of edges of G, lying closer to vertex u than to vertex v. (C) 2009 Elsevier B.V. All rights reserved.