Tight conformation of 2-bridge knots using superhelices

Youngsik Huh; Hyoungjun Kim; Seungsang Oh

doi:10.1063/5.0059298

Tight conformation of 2-bridge knots using superhelices

Youngsik Huh, Hyoungjun Kim, Seungsang Oh

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The ropelength is a mathematical quantity that regulates the tightness of flexible strands in the three-dimensional space. The superhelical conformation of long twisted strands is known to be more efficient in terms of ropelength compared with the circular double helical conformation. In this paper, we present a conformation of 2-bridge knots by using ropelength-minimizing superhelical curves and derive an upper bound on the ropelength of 2-bridge knots. Our superhelical model of 2-bridge knots is shown to be more efficient than the standard double helical one if the iterative twisted parts are long enough.

Original language	English
Article number	113504
Journal	Journal of Mathematical Physics
Volume	62
Issue number	11
DOIs	https://doi.org/10.1063/5.0059298
Publication status	Published - 2021 Nov 1

Bibliographical note

Funding Information:
Youngsik Huh was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (Grant No. NRF-2016R1D1A1B01008044), Hyoungjun Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Korea government Ministry of Science and ICT (Grant No. NRF-2018R1C1B6006692), and Seungsang Oh was supported by the Institute for Information and Communications Technology Planning and Evaluation (IITP) grant funded by the Korea government (MSIT) (Grant No. 2019-0-00033, 30%, Study on Quantum Security Evaluation of Cryptography based on Computational Quantum Complexity).

Publisher Copyright:
© 2021 Author(s).

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/5.0059298

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abstract = "The ropelength is a mathematical quantity that regulates the tightness of flexible strands in the three-dimensional space. The superhelical conformation of long twisted strands is known to be more efficient in terms of ropelength compared with the circular double helical conformation. In this paper, we present a conformation of 2-bridge knots by using ropelength-minimizing superhelical curves and derive an upper bound on the ropelength of 2-bridge knots. Our superhelical model of 2-bridge knots is shown to be more efficient than the standard double helical one if the iterative twisted parts are long enough.",

author = "Youngsik Huh and Hyoungjun Kim and Seungsang Oh",

note = "Funding Information: Youngsik Huh was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (Grant No. NRF-2016R1D1A1B01008044), Hyoungjun Kim was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Korea government Ministry of Science and ICT (Grant No. NRF-2018R1C1B6006692), and Seungsang Oh was supported by the Institute for Information and Communications Technology Planning and Evaluation (IITP) grant funded by the Korea government (MSIT) (Grant No. 2019-0-00033, 30%, Study on Quantum Security Evaluation of Cryptography based on Computational Quantum Complexity). Publisher Copyright: {\textcopyright} 2021 Author(s).",

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Tight conformation of 2-bridge knots using superhelices

Abstract

Bibliographical note

ASJC Scopus subject areas

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