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<p>Using the transfer matrix method, we obtain the calculation method for the numbers of perfect matchings of <i>m</i>-layer hexagonal chains. Especially, we give out the linear recurrences, generating functions and general terms for the numbers of the perfect matchings in two types of special <i>m</i>-layer hexagonal chains–alternating and parallelogram hexagonal chains.</p>

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Counting the perfect matchings in an m-layer hexagonal chain

  • 期刊论文

  • 发表日期：

    2025年12月27日

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  • Mingjun Ma,
  • Xia Liu,
  • Haiyuan Yao

摘要

Using the transfer matrix method, we obtain the calculation method for the numbers of perfect matchings of m-layer hexagonal chains. Especially, we give out the linear recurrences, generating functions and general terms for the numbers of the perfect matchings in two types of special m-layer hexagonal chains–alternating and parallelogram hexagonal chains.