On the Existence of Fault-tolerant numbers of Two-Bridge Knots
| Autor: | Usman Ali, Iffat Fida Hussain, Anam Rani |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Scientific Inquiry and Review. 6 |
| ISSN: | 2521-2435 2521-2427 |
| DOI: | 10.32350/sir.64.05 |
| Popis: | In this write-up, we explore the family of two-bridge knots for fault-tolerance. We findout fault-tolerant unknotting numbers for certain subfamilies of two-bridge knots. Besidesthis, we work out on special subfamilies C(a, a1, a2, a3, . . . ,±2,−ak,−ak−1, . . . ,−a2,−a1)and C(2n, 3) of two-bridge knots with unknotting number 1 and n respectively and found avarient of fault-tolerant unknotting number called restricetd fault-tolerant unknotting number.Lastly, this paper is concluded by explicating biological disposition of fault-tolerantunknotting number in terms of enzyme action on DNA. |
| Databáze: | OpenAIRE |
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