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Genera and crossing numbers of $2$-bridge knots

Published 20 Apr 2022 in math.GT | (2204.09238v1)

Abstract: In this paper, we determine the average genus of all the $2$-bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the crossing number grows.

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Authors (2)

  1. Masaaki Suzuki 
  2. Anh T. Tran 

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