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A topological index (TI) is a function that associates a numeric number to the under-study molecular graph. The first TI based on distance was presented by Wiener to find the boiling point of paraffins. In 1972, to compute the total π-electron energy of a molecule, the degree-based indices are used. In this paper, we obtained first and second Zagreb connection, modified first, second, third, and fourth Zagreb connection, first, second, third, and fourth multiplicative Zagreb connection, and modified first, second, and third multiplicative Zagreb connection indices for Sudoku graphs.