, 2017 Let \(G\) be a graph with vertex set \(V(G)\) and edge set \(E(G)\). Let \(d_i\) be the degree of the vertex \(v_i \in V(G)\). The first and second Zagreb indices, \(M_1 = \sum_{v_i \in V(G)} d_i^2\) and \(M_2 = \sum_{v_iv_j \in E(G)} d_i\,d_j\) are the oldest and most thoroughly investigated vertex degree-based molecular structure descriptors.
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