Abstract
In knot theory literature, a lot of references treated the topic of computing the Alexander polynomial and proved that the Alexander polynomial is a knot invariant. In this paper, we concentrate on an unconventional connection between knot theory and linear algebra in computing the Alexander polynomial and introduce an approach depending linear algebra tools to show that the Alexander polynomial is a knot invariant. Also, we connect this approach to the way of Fox coloring to suggest another way to prove that the 3-coloring is a knot invariant and confirm what is already known about the 3-coloring of the trefoil and the figure eight knots.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
