基于纽结理论和图论，文章简化了多面体链环的HOMFLY多项式的计算。
Based on knot theory and graph theory, the paper simplifies the computation for HOMFLY polynomial of polyhedral links.
多面体链环是这些生物体的结构模型，在一定程度上，反映了生物分子的一些拓扑性质。
Polyhedral links are the structure model of these biomolecules, and reflect their topological properties in a degree.
对任意一个多面体图，四类多面体链环可以通过应用‘X -缠绕覆盖’到相关的简化集中得到。
For an arbitrary polyhedral graph, four classes of polyhedral links can be obtained by applying the operation of 'x-tangle covering 'to the related reduced sets.
在自然和实验中，许多具有多面体形状的生物分子已被发现和合成，为了研究其潜在的数学机理，多面体链环被提出。
Many biomolecules with polyhedral shape have been discovered and synthesized in the nature and experiment, polyhedral links are presented to study their underlying mathematical mechanism.
这些关系式不仅将HOMFLY多项式的通式扩展到一族多面体链环上并且可以简化计算一些特殊的多面体链环类的HOMFLY多项式。
These relationships not only expand the general formula of HOMFLY polynomial into a family of polyhedral links but also simply the computation for HOMFLY polynomial of some special polyhedral links.
以此为基础，我们建立了一个多面体图的W -多项式和四类链环的HOMFLY多项式之间的关系。
Based on that, the relationships between the W-polynomial of a polyhedral graph and the HOMFLY polynomials of four kinds of polyhedral links are established.
以此为基础，我们建立了一个多面体图的W -多项式和四类链环的HOMFLY多项式之间的关系。
Based on that, the relationships between the W-polynomial of a polyhedral graph and the HOMFLY polynomials of four kinds of polyhedral links are established.
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