JP Journal of Geometry and Topology
Volume 20, Issue 3, Pages 273 - 293
(August 2017) http://dx.doi.org/10.17654/GT020030273 |
|
ON EXTENDED INVARIANTS OF VIRTUAL PSEUDO PRIME KNOTS
Noureen A. Khan
|
Abstract: We generalize ascending number and unknotting number of virtual knots to formulate their relationship with the virtual bridge number. We show that there are infinitely many homotopy classes of virtual knots that preserve the virtual bridge index as a virtual ascending number or virtual unknotting number. We construct a table of ascending numbers, unknotting numbers, bridge numbers and crossing numbers for pseudo prime virtual knots of less than five crossings. |
Keywords and phrases: virtual knot, ascending number, bridge number, crossing number, unknotting number, Gauss diagram, pseudo prime knot. |
|
Number of Downloads: 279 | Number of Views: 730 |
|