Öz, Mert SinanCangül, İsmail Naci2024-06-062024-06-062021-06-012228-6489https://doi.org/10.22052/IJMC.2021.243008.1580https://ijmc.kashanu.ac.ir/article_111626.htmlhttps://hdl.handle.net/11452/41831Gutman et al. gave some relations for computing the Hosoya indices of two special benzenoid systems R-n and P-n. In this paper, we compute the Hosoya index and Merrifield-Simmons index of R-n and P-n, by means of introducing four vectors for each benzenoid system and index. As a result, we compute the Hosoya index and the Merrifield-Simmons index of R-n and P-n, by means of a product of a certain matrix of degree n and a certain vector.eninfo:eu-repo/semantics/closedAccessDouble hexagonal chainsTopological indexesRespectBenzenoid systemsHexagonal systemsHosoya indexMerrifield-simmons indexScience & technologyPhysical sciencesChemistry, multidisciplinaryChemistryArticle00075186930000316117412310.22052/IJMC.2021.243008.15802008-9015