New upper bounds for the forgotten index among bicyclic graphs
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The forgotten topological index of a graph G, denoted by F(G), is defined as the sum of weights d(u)^2+d(v)^2 over all edges uv of G , where d(u) denotes the degree of a vertex u. In this paper, we give sharp upper bounds of the F-index (forgotten topological index) over bicyclic graphs, in terms of the order and maximum degree.
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