Novel Molecular Descriptors Based on Functions of New Vertex Degrees

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Trees, Unicyclic, and Bicyclic Graphs Extremal with Respect to Multiplicative Sum Zagreb Index ∗ (2012, unknown): “[18, 20] have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: ∏ 1 = ∏ 1(G) = ∏ v∈V (G) dG(v) (2), ∏ 2 = ∏ 2(G) = ∏ uv∈E(G) dG(u)dG(v).”
On the first Zagreb index and multiplicative Zagreb coindices of graphs (2016, background): “Recently, the first and second multiplicative Zagreb indices [11, 18, 19] are defined as follows: ∏”
A Unified Approach to Extremal Multiplicative Zagreb Indices for Trees, Unicyclic and Bicyclic Graphs ∗ (2012, unknown): “[16, 18] have proposed the multiplicative variants of ordinary Zagreb indices, which are defined as follows: ∏ 1 = ∏ 1(G) = ∏ v∈V (G) dG(v) (2), ∏ 2 = ∏ 2(G) = ∏ uv∈E(G) dG(u)dG(v).”