COLORING INVARIANTS OF VIRTUAL KNOTS AND LINKS
For over a decade, many generalizations have been made to Kauffman-Harary conjecture and Fox p-coloring of virtual knots. We introduce new coloring rules for virtual tangles that generalize the Fox p-coloring of virtual knots and links. We show that our coloring methods are fully characterized by the invariants of virtual knots and links. Furthermore, we extend the Goeritz matrix that adduces the generalization to the Kauffman-Harary conjecture for alternating virtual knots.
Fox p-coloring, coloring matrix, rational tangles, tangle number, virtual quandle, Goeritz matrix.
Received: March 19, 2021; Accepted: May 24, 2021; Published: June 15, 2021
How to cite this article: Noureen A. Khan and Abdullah S. Khan, Coloring invariants of virtual knots and links, JP Journal of Geometry and Topology 26(1) (2021), 75-90. DOI: 10.17654/GT026010075
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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