On ribbon graphs and virtual links

Baldridge, Scott; H. Kauffman, Louis; Rushworth, William

Abstract

We introduce a new equivalence relation on decorated ribbon graphs, and show that its equivalence classes directly correspond to virtual links. We demonstrate how this correspondence can be used to convert any invariant of virtual links into an invariant of ribbon graphs, and vice versa.

Citation

Baldridge, S., H. Kauffman, L., & Rushworth, W. (2022). On ribbon graphs and virtual links. European Journal of Combinatorics, 103, Article 103520. https://doi.org/10.1016/j.ejc.2022.103520

• Journal Article Type: Article
• Acceptance Date: Jan 30, 2022
• Online Publication Date: Feb 22, 2022
• Publication Date: 2022-06
• Deposit Date: Nov 19, 2022
• Journal: European Journal of Combinatorics
• Print ISSN: 0195-6698
• Electronic ISSN: 1095-9971
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 103
• Article Number: 103520
• DOI: https://doi.org/10.1016/j.ejc.2022.103520
• Keywords: Geometric Topology; Combinatorics
• Public URL: https://hull-repository.worktribe.com/output/4127503