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.
CITATION STYLE
Kaur, K., Gill, A., & Prabhakar, M. (2019). Arc shift number for some virtual knots. In Trends in Mathematics (pp. 87–101). Springer International Publishing. https://doi.org/10.1007/978-981-13-5742-8_6
Mendeley helps you to discover research relevant for your work.