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Kyungpook Mathematical Journal 2024; 64(4): 519-530

Published online December 31, 2024 https://doi.org/10.5666/KMJ.2024.64.4.519

Copyright © Kyungpook Mathematical Journal.

Twisting Some Classes of Links

Ahmad Al-Rhayyel and Khaled Qazaqzeh∗

Department of Mathematics, Faculty of Science, Yarmouk University, Irbid, Jordan, 21163
e-mail: al-rhayyel@yu.edu.jo and qazaqzeh@yu.edu.jo

Received: April 23, 2023; Revised: June 23, 2024; Accepted: June 25, 2024

Abstract

We apply the twisting technique that was first introduced in [1] and later generalized in [8] to obtain an infinite family of adequate, homogeneous or alternative links from a given adequate, homogeneous or alternative link, respectively. Thus we conclude that these three classes of links are infinite.

Keywords: Adequate links, homogeneous links, alternative links, twisting