Extremal Values of Total Multiplicative Sum Zagreb Index and First Multiplicative Sum Zagreb Coindex on Unicyclic and Bicyclic Graphs

The total multiplicative sum Zagreb index of a simple graph G is defined as Pi(T)(G) := Pi(u,v is an element of V(G)) (d(G)(u) + d(G)(v)), while (Pi) over bar (1)(G) := Pi(uv is not an element of E(G)) (d(G)(u) + d(G)(v)) represents the first multiplicative sum Zagreb coindex. Both graphical invariants were introduced by Xu, Das and Tang in [10]. We obtained extremal values of those indices on the class of unicyclic and bicyclic graphs.