| Title: | Enumerating $k$-matchings in cyclic chains using the transfer matrix technique |
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| Authors: | ID Klavžar, Sandi (Author)
ID Grad, Simon (Author) |
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| Files: |  PDF - Presentation file, download (445,18 KB)
MD5: 34191A53103596EFD80983DB81AD3DE7
 URL - Source URL, visit https://match.pmf.kg.ac.rs/issues/m94n3/m94n3_26824.html
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  IMFM - Institute of Mathematics, Physics, and Mechanics
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| Abstract: | 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. |
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| Keywords: | matchings, Hosoya index, cyclic chains, transfer matrix, k-matching vector, Toeplitz matrix |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 01.01.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 645-658 |
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| Numbering: | Vol. 94, no. 3 |
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| PID: | 20.500.12556/DiRROS-22168  |
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| UDC: | 519.17 |
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| ISSN on article: | 3009-4399 |
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| DOI: | 10.46793/match.94-3.26824 |
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| COBISS.SI-ID: | 234927875 |
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| Note: |
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| Publication date in DiRROS: | 06.05.2025 |
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| Views: | 583 |
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| Downloads: | 339 |
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| Metadata: |    |
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