Matching Polynomials and Independence Polynomials of Benzenoid Chains

Benzenoid chains, also known as hexagonal chains, are a classof organic compounds that consist of an arrangement of hexago-nal rings fused together. In this article, we first present reductionformulas to compute the matching polynomial and independencepolynomial of any benzenoid chain by utilizing the transfer matrixtechnique. Subsequently, computational formulas for the Hosoyaindex and Merrifield-Simmons index of benzenoid chains are de-rived. Furthermore, the expected values of the Hosoya index andMerrifield-Simmons index for random benzenoid chains are also ob-tained.