This article is available for purchase or by subscription. See below.
Abstract
|
We study Fox colorings of knots that are 13-colorable. We prove that any
13-colorable knot has a diagram that uses exactly five of the thirteen colors that
are assigned to the arcs of the diagram. Due to an existing lower bound,
this gives that the minimum number of colors of any 13-colorable knot is
5.
|
PDF Access Denied
However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/involve
We have not been able to recognize your IP address
3.229.117.123
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 30.00:
Keywords
knots, fox colorings, minimum number of colors
|
Mathematical Subject Classification 2010
Primary: 57M25
|
Milestones
Received: 29 September 2015
Revised: 5 January 2016
Accepted: 24 January 2016
Published: 10 November 2016
Communicated by Kenneth S. Berenhaut
|
|