Enumerating $k$-matchings in cyclic chains using the transfer matrix techniqueKlavžar, Sandi (Avtor) Grad, Simon (Avtor) matchingsHosoya indexcyclic chainstransfer matrixk-matching vectorToeplitz matrixA cyclic chain is a plane graph whose all inner faces are cycles and its inner dual is isomorphic to a path. In this paper, the transfer matrix technique using the $k$-matching vector is developed to compute the number of $k$-matchings in an arbitrary cyclic chain. This extends similar methods developed earlier in two papers for benzenoid chains and for octagonal chains. The method is illustrated on the flourene molecule.20252025-05-06 14:08:59Članek v reviji168988UDK: 519.17ISSN pri članku: 3009-4399DOI: 10.46793/match.94-3.26824COBISS_ID: 234927875sl