Öz, Mert SinanCangül, İsmail Naci2024-06-062024-06-062022-101598-58651865-2085https://doi.org/10.1007/s12190-021-01659-xhttps://link.springer.com/article/10.1007/s12190-021-01659-xhttps://hdl.handle.net/11452/41804In 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 sigma(H) of the corresponding double hexagonal (benzenoid) chain H. As the result, we compute sigma(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 sigma(G) where G represents any hexagonal (benzenoid) chain.eninfo:eu-repo/semantics/closedAccessDouble hexagonal chainsSensitive graphical subsetsHosoya indexEnumerationRespectDouble benzenoid chainsDouble hexagonal chainsHexagonal chainsTopological indexMerrifield-simmons indexScience & technologyPhysical sciencesMathematics, appliedMathematicsArticle0007191741000013263329368510.1007/s12190-021-01659-x