摘 要: | Let G =(V, E) be a simple connected graph with n(n ≥ 3) vertices and m edges,with vertex degree sequence {d1, d2,..., dn}. The augmented Zagreb index is defined as AZI =AZI(G)=∑ij∈E(didj/di+dj-2)3. Using the properties of inequality, we investigate the bounds of AZI for connected graphs, in particular unicyclic graphs in this paper, some useful conclusions are obtained.
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