Öz, Mert SinanCangul I.N.2022-04-052022-04-05202115985865https://hdl.handle.net/20.500.12885/1853In this paper, we introduce the Merrifield-Simmons vector defined at a path of corresponding double hexagonal (benzenoid) chain. By utilizing this vector, we present reduction formulae to compute the Merrifield-Simmons index σ(H) of the corresponding double hexagonal (benzenoid) chain H. As the result, we compute σ(H) of H by means of a product of some of obtained six matrices and a vector with entries in N. Subsequently, we introduce the simple Merrifield-Simmons vector defined at an edge of given graph G. By using simple Merrifield-Simmons vector we present reduction formulae to compute the σ(G) where G represents any hexagonal (benzenoid) chain.eninfo:eu-repo/semantics/closedAccessDouble benzenoid chainsDouble hexagonal chainsHexagonal chainsMerrifield-Simmons indexTopological indexArticle10.1007/s12190-021-01659-xN/AN/A