Eroğlu, Hatice ÇobanEroğlu, Kemal Ilgar2026-04-042026-04-0420260340-6253https://doi.org/10.46793/match.95-3.17725https://hdl.handle.net/11411/10222In this article we describe an algorithm that allows us to recursively construct the matching polynomials of what we call “regular chain-type graphs”. These graphs are obtained from a fixed base graph by linking several copies in a linear fashion, the links being obtained by joining two consecutive copies at prescribed vertices. Loops obtained by closing these chains are also studied. Finally, a method to compute the growth rate of the Hosoya index is presented. The proposed methods are applicable to chain-type molecular structures, providing insights into their chemical properties. © 2026, University of Kragujevac, Faculty of Science. All rights reserved.eninfo:eu-repo/semantics/openAccess[Keyword Not Available]Article2-s2.0-10502714623510.46793/match.95-3.177258463Q182995