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Meander Diagrams of Virtual Knots by Belousov, Y.; Chernov, V.; Malyutin, A.; Sadykov, R. is a scholarly article available to read on EtoBox.

What is Meander Diagrams of Virtual Knots about?

For classical knots, there is a concept of (semi)meander diagrams; in this short note we generalize this concept to virtual knots and prove that the classes of meander and semimeander diagrams are universal (this was known for classical knots). We also introduce a new class of invariants for virtual knots -- virtual $k$-arc crossing numbers and we use Manturov projection to show that for all classical knots the virtual $k$-arc crossing number equals to the classical $k$-arc crossing number.

Author

Belousov, Y.; Chernov, V.; Malyutin, A.; Sadykov, R.

Published

2024

Language

EN