JOURNAL OF MATHEMATICS, cilt.2022, 2022 (SCI-Expanded)
The Nirmala and first Banhatti-Sombor index which is originated from Sombor index is designated by N(G)= sigma(uv is an element of E(G))root(d(u)) + (d(v)) and BSO(1)G= sigma(uv is an element of E(G) ) (1/root(d(u))(2) + (d(v))(2)), respectively. In this work, we calculated the Nirmala and Banhatti-Sombor index over the tensor and Cartesian product of a graph of an algebraic structure by presenting two different algorithms.