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The detour matrix of a molecular graph is obtained and the procedure to find the detour matrix and detour spectrum is explained. The relation among the detour matrix and distance matrix are given. The detour polynomial is computed. The Wiener number is calculated and also it is compared with the DS value of the molecular graphs considered. The correlation coefficient reveals that the there is a close relationship among the Wiener number and DS value of the molecular graphs.

An analysis on the Wiener number and the spectrum of detour matrix of the molecular graph of benzenoid hydrocarbons