Region Polynomial of a Knot Diagram

Siwach, Vikash and Sombir, . (2022) Region Polynomial of a Knot Diagram. Current Journal of Applied Science and Technology, 41 (40). pp. 7-25. ISSN 2457-1024

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Abstract

We introduce a new polynomial for knot diagrams. The coefficients of this polynomial are dependent on the
number of the arcs on the regions of the knot diagrams. A relation between the sum of the coefficients and
the number of crossing of the knot diagram is developed. Some other properties of the developed region
based polynomial are explained. The behaviour of the polynomial against Reidemeister moves is also examined.

Item Type: Article
Subjects: STM Repository > Multidisciplinary
Depositing User: Managing Editor
Date Deposited: 18 Feb 2023 12:10
Last Modified: 31 May 2024 09:37
URI: http://classical.goforpromo.com/id/eprint/1749

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