title: Ear decomposition of 3-regular polyhedral links with applications.
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.
authors: Department of Mathematics, Huizhou University, Huizhou, Guangdong 516007, PR China; School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, PR China. Electronic address: chengxs80@163.com.
authors: Xiao-Sheng
authors: XS
authors: Cheng
authors: School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, PR China.
authors: Heping
authors: H
authors: Zhang
authors: School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, PR China.
authors: Xian'an
authors: X
authors: Jin
authors: Department of Chemistry, Lanzhou University, Lanzhou, Gansu 730000, PR China.
authors: Wen-Yuan
authors: WY
authors: Qiu
mesh_terms: D001704:Biopolymers / Q000737:chemistry*; D008958:Models, Molecular; D008962:Models, Theoretical; D020836:Protein Structure, Quaternary; D013237:Stereoisomerism
chemical_list: D001704:Biopolymers
keywords: Braid index; Complexity; Seifert circles