Abstract
Polyhedral links have been used to model DNA polyhedra and protein catenanes. Some topological characteristics of a type of polyhedral links fabricated from a polyheron by the method of ‘n-branched curve and X-tangled covering’ have been elucidated. In this paper, we pay close attention to their braid index considered significant in view of DNA nanotechnology, and proved that the MFW inequality is sharp for the polyhedral links. Our results demonstrate that the braid index of the links is directed by their crossing numbers. In addition, the studies of the polyhedral links can facilitate the research of the properties of DNA molecules, and can characterize their structural complexity.
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