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math.GT2026
The r-coverings and local moves of planar virtual knotoids
Jiacheng An, Fengling Li, Andrei Vesnin
In this paper, we study planar virtual knotoids, which generalize virtual knots and knotoids both. We consider the problem of whether two given planar virtual knotoids can be trans…
math.GT2026
Two-variable Parity Polynomial for Virtual Knotoids
Siqi Ding, Suo Gao, Fengchun Lei +2
In this paper, we introduce a two-variable parity polynomial invariant for virtual knotoids, defined on oriented virtual knotoid diagrams. The construction is based on the parity o…