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The general harmonic index and general sum-connectivity index are two degree-based topological indices which reflect certain structural features of organic molecules. A fluoranthene-type benzenoid system ( f -benzenoid) is a polycyclic conjugated system obtained by joining two ordinary benzenoid hydrocarbons so as to form a five-membered ring. In this paper, by virtue of molecular structural analysis, we give the expressions for computing the general harmonic index and general sum-connectivity index of  f -benzenoids, and we determine the extremal values of general harmonic indexand general sum-connectivity indexin  f -benzenoids with h hexagons for some real number α. Especially, we give the extremal values ofandin cata-catacondensed  f -benzenoids with h hexagons.

Extremal Values of the General Harmonic Index and General Sum-Connectivity Index of f -Benzenoids