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We present the recent advance in chemical graph theory. The whole contexts can be divided into five parts: first, we determine the eccentric version indices of bacterial hypertrees; then, the degree based indices of star of David and hexagonal cage networks are discussed; the third, we obtain the degree based indices of a type of benzenoid systems: jagged-rectangle; the fourth, the degree based indices of poly honeycomb networks are calculated; at last, we yield the distance based indices of some edge deleted graphs.