Arc Shift Number for Some Virtual Knots

  • K. Kaur
  • A. Gill
  • M. PrabhakarEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)


In this paper, we compute the arc shift number for some classes of virtual knots and show that for every positive integer n, there exist infinitely many virtual knots with arc shift number n. We conclude the paper by computing the arc shift number for an infinite family of virtual knots with virtual bridge index one.


Virtual knot Odd writhe Arc shift Virtual bridge number 

2010 Mathematics Subject Classifications

57M25 57M27 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Technology RoparRupnagarIndia

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