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# 2016/12/22 HirokazuYanagi Thevirtualunknottingnumbersofaclassofvirtualtorusknots

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## The virtual unknotting numbers of a class of virtual torus knots

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### 5 On other (p, q)-virtual torus knots

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Virtual unknotting number Virtual knot

### A virtual knot diagram is a diagram on R 2 that has classical crossings and virtual crossings.

classical crossing virtual crossing

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R1 R1

R2

R3

VR1

VR2

VR3

MR

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1

2 3

U1 O1

U2 O3

O2 U3

+

+ +

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σ1

σ2

σk

p:braid index

−−−−−−−−−−→

σkσk−1· · ·σ2σ1

0≤k≤p−1

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2

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V C1

V C2

V C3

V Cm

V Ci−1

V Ci−2

V Ci−3

σm−1

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### (8,7) 14 14 vu(V T 8,73 ) = 14

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