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Arc Shift Number for Some Virtual Knots

K. Kaur,A. Gill,M. Prabhakar

Trends in MathematicsAlgebraic Topology and Related Topics（2019）

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Abstract
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.
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Key words
Virtual knot, Odd writhe, Arc shift, Virtual bridge number, 57M25, 57M27
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