The average genus of oriented rational links with a given crossing number-Reference-Cited by-同舟云学术

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The average genus of oriented rational links with a given crossing number

Published:2023-02 Issue:02 Volume:32 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Ray Dawn¹^ORCID,Diao Yuanan¹

Affiliation:

1. Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, USA

Abstract

In this paper, we enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obtain a precise formula for the average minimal genus of oriented rational knots and links with any given crossing number.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216523500104

Reference6 articles.

1. Studies in Mathematics;Burde G.,2013

2. The number of oriented rational links with a given deficiency number

3. Genera of the alternating links

4. The growth of the number of prime knots

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