The enumeration of alternating oriented pretzel links

In this paper, we tabulate the set of alternating oriented pretzel links. We derive a closed formula for the precise number of alternating oriented pretzel links with any given crossing number [Formula: see text]. Numerical computation suggests that this number grows approximately at the rate of [Formula: see text]

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Publication Details

Journal
Journal of Knot Theory and Its Ramifications
Published
2025-04-16
DOI
https://doi.org/10.1142/s0218216525500373
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
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article

The enumeration of alternating oriented pretzel links

Yuanan Diao, Tobias Clark, Charlotte Aspinwall
Journal of Knot Theory and Its Ramifications
Graph theory and applications
article

The enumeration of alternating oriented pretzel links

Yuanan Diao, Tobias Clark, Charlotte Aspinwall
article en

Abstract

In this paper, we tabulate the set of alternating oriented pretzel links. We derive a closed formula for the precise number of alternating oriented pretzel links with any given crossing number [Formula: see text]. Numerical computation suggests that this number grows approximately at the rate of [Formula: see text]

Journal of Knot Theory and Its RamificationsVol. 34(08)
University of North Carolina at Charlotte (US), Vassar College (US), Cornell University (US)
Openalex Percentile: Top 87%
Graph theory and applications
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