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

Authors :
Ray, Dawn
Diao, Yuanan
Source :
Journal of Knot Theory & Its Ramifications. Feb2023, Vol. 32 Issue 2, p1-14. 14p.
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*RATIONAL numbers
*KNOT theory

Details

Language :
English
ISSN :
02182165
Volume :
32
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Knot Theory & Its Ramifications
Publication Type :
Academic Journal
Accession number :
162594894
Full Text :
https://doi.org/10.1142/S0218216523500104
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