20.500.12556/RUL-168988 Enumerating $k$-matchings in cyclic chains using the transfer matrix technique A 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. matchings Hosoya index cyclic chains transfer matrix k-matching vector Toeplitz matrix prirejanje Hosoyev indeks ciklične verige prehodna matrika vektor k-prirejanj Toeplitzova matrika true false true Angleški jezik Slovenski jezik Članek v reviji 2025-05-06 14:08:59 2025-05-06 14:09:01 2025-05-07 04:05:41 0000-00-00 00:00:00 2025 0 0 Str. 645-658 no. 3 Vol. 94 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-01-01 519.17 3009-4399 10.46793/match.94-3.26824 234927875 match94n3_645-658.pdf match94n3_645-658.pdf 1 1F063C9923B85377A54D4F592D818373 acb819606d54fb48282b9c330bf17b23bc9e752d96dfe5c73ed86cfdbddc0cf2 662ea77f-2a72-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210083 https://match.pmf.kg.ac.rs/issues/m94n3/m94n3_26824.html 1 b5bfdb8b-2a71-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210079 Fakulteta za matematiko in fiziko 0 0 0