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Ear decomposition of 3-regular polyhedral links with applications
Xiao-Sheng Cheng1, Heping Zhang2, Xian'an Jin3
1Department of Mathematics, Huizhou University, Huizhou, Guangdong 516007, PR China; School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, PR China.
Abstract:
In this paper, we introduce a notion of ear decomposition of 3-regular polyhedral links based on the ear decomposition of the 3-regular polyhedral graphs. As a result, we obtain an upper bound for the braid index of 3-regular polyhedral links. Our results may be used to characterize and analyze the structure and complexity of protein polyhedra and entanglement in biopolymers.
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