Enhanced index polynomials for virtual knots

In this paper, we present a method for constructing an invariant of virtual knots by modifying the index polynomial. While the index polynomial fails to distinguish certain virtual knots, our enhanced polynomial invariant improves the detection of non-classical virtual knots.

Authors

Joonoh Kim (ORCID: https://orcid.org/0009-0004-8342-9722)
Sera Kim

Institutions

Korea Naval Academy (KR)
Pusan National University (KR)

Publication Details

Journal: Journal of Knot Theory and Its Ramifications
Published: 2025-04-26
DOI: https://doi.org/10.1142/s0218216525500403
Primary Topic: Computational Geometry and Mesh Generation
Type: article
Field-Weighted Citation Impact: 0.00

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article

Enhanced index polynomials for virtual knots

Joonoh Kim, Sera Kim

Apr 26, 2025

Journal of Knot Theory and Its Ramifications

Computational Geometry and Mesh Generation

article

Enhanced index polynomials for virtual knots

Joonoh Kim, Sera Kim

April 26, 2025article en

Abstract

Journal of Knot Theory and Its RamificationsVol. 34(09)

Korea Naval Academy (KR), Pusan National University (KR)

Openalex Percentile: Top 84%

Computational Geometry and Mesh Generation

DOI Source OpenAlex

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Enhanced index polynomials for virtual knots — Joonoh Kim, Sera Kim · Journal of Knot Theory and Its Ramifications (2025) | TGRS Research Map | TGRS