Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 525
On the minimum number of Fox colorings of knots
Soukaina Lamsifer, Hamid Abchir, Mohamed Elhamdadi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 14, 2022
March 03, 2427
April 15, 2427

Abstract: One of the main problems of knot theory is the classification of knots; therefore, knot invariants are constructed to distinguish between different knots. One of these invariants is the p-colorings of knots. Around 1960 R. Fox introduced a method of coloring diagrams of knots by ℤp (the integers modulo p). Harary and Kauffman defined the minimum number of colors of a p-colorable knot where p is an odd prime, which is also a knot invariant and it is hard to calculate, in general. For this reason and in order to estimate the minimum number of colors for knots T. Nakamura and al. proved that ...