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On Sawollek polynomials of checkerboard colorable virtual links

Takanori Imabeppu

Department of Mathematics, Hiroshima University, Higashi-Hiroshima, 739-8526, Japan

https://doi.org/10.1142/S0218216516500103Cited by:4 (Source: Crossref)

Abstract

We give two new criteria of detecting checkerboard colorability of virtual links in terms of the Sawollek polynomials and compare the criteria with known criteria. By using these criteria we determine checkerboard colorability of virtual knots up to four classical crossings, with six exceptions.

Keywords:

AMSC: 57M25, 57M27

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