A tabulation of prime knots up to arc index 11
Gyo Taek Jin, Wang Keun Park
TL;DR
This paper provides a comprehensive list of minimal arc presentations for all prime knots with an arc index up to 11, supplementing previous research and aiding knot classification efforts.
Contribution
It offers the first complete tabulation of minimal arc presentations for prime knots up to arc index 11, expanding the existing knot database.
Findings
Complete minimal arc presentations for prime knots up to arc index 11
Enhanced understanding of knot complexity and classification
Supports future research in knot theory and applications
Abstract
As a supplement to the authors' article "Prime knots with arc index up to 11 and an upper bound of arc index for non-alternating knots", to appear in the Journal of Knot Theory and its Ramifications, we present minimal arc presentations of the prime knots up to arc index 11.
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