Arc Shift Number for Some Virtual Knots

Kaur, K.; Gill, A.; Prabhakar, M.

doi:10.1007/978-981-13-5742-8_6

K. Kaur⁴,
A. Gill⁴ &
M. Prabhakar⁴

Part of the book series: Trends in Mathematics ((TM))

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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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Authors and Affiliations

Department of Mathematics, Indian Institute of Technology Ropar, Nangal Road, Rupnagar, 140001, Punjab, India
K. Kaur, A. Gill & M. Prabhakar

Authors

K. Kaur
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A. Gill
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M. Prabhakar
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Correspondence to M. Prabhakar .

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Editors and Affiliations

Department of Mathematical Sciences, Indian Institute of Science Education and Research (IISER) Mohali, SAS Nagar, Punjab, India
Mahender Singh
Department of Mathematics, Inha University, Incheon, Korea (Republic of)
Yongjin Song
Department of Mathematics, National University of Singapore, Singapore, Singapore
Jie Wu

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Kaur, K., Gill, A., Prabhakar, M. (2019). Arc Shift Number for Some Virtual Knots. In: Singh, M., Song, Y., Wu, J. (eds) Algebraic Topology and Related Topics. Trends in Mathematics. Birkhäuser, Singapore. https://doi.org/10.1007/978-981-13-5742-8_6

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DOI: https://doi.org/10.1007/978-981-13-5742-8_6
Published: 03 February 2019
Publisher Name: Birkhäuser, Singapore
Print ISBN: 978-981-13-5741-1
Online ISBN: 978-981-13-5742-8
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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