IDEAS home Printed from https://ideas.repec.org/a/wly/jjmath/v2022y2022i1n4120166.html

The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians

Author

Listed:
  • Shouliu Wei
  • Fuliang Lu
  • Xiaoling Ke

Abstract

Let G be a (molecular) graph. A perfect matching of G is defined as a set of edges which are independent and cover every vertex of G exactly once. In the article, we present the formula on the number of the perfect matchings of two types of hexagons on the torus by Pfaffians.

Suggested Citation

  • Shouliu Wei & Fuliang Lu & Xiaoling Ke, 2022. "The Number of Perfect Matchings in Hexagons on the Torus by Pfaffians," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4120166
    DOI: 10.1155/2022/4120166
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2022/4120166
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/4120166?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Yan, Weigen & Yeh, Yeong-Nan & Zhang, Fuji, 2008. "Dimer problem on the cylinder and torus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6069-6078.
    2. Lin, Fenggen & Chen, Ailian & Lai, Jiangzhou, 2016. "Dimer problem for some three dimensional lattice graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 347-354.
    3. Feng, Xing & Zhang, Lianzhu & Zhang, Mingzu, 2018. "Enumeration of perfect matchings of lattice graphs by Pfaffians," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 412-420.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Wei & Zhang, Heping, 2012. "Dimer statistics of honeycomb lattices on Klein bottle, Möbius strip and cylinder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3833-3848.
    2. Lu, Fuliang & Zhang, Lianzhu & Lin, Fenggen, 2011. "Dimer statistics on the Klein bottle," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2315-2324.
    3. Yan, Weigen & Zhang, Zuhe, 2009. "Asymptotic energy of lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1463-1471.
    4. Li, Shuli & Yan, Weigen, 2016. "Dimers on the 33.42 lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 452(C), pages 251-257.
    5. Marčetić, Dušanka & Elezović-Hadžić, Sunčica & Živić, Ivan, 2020. "Statistics of close-packed dimers on fractal lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    6. Feng, Xing & Zhang, Lianzhu & Zhang, Mingzu, 2018. "Enumeration of perfect matchings of lattice graphs by Pfaffians," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 412-420.
    7. Lin, Fenggen & Chen, Ailian & Lai, Jiangzhou, 2016. "Dimer problem for some three dimensional lattice graphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 347-354.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4120166. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/1469 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.