25 citations · 83 across the 18 of their papers we have counts for
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math.GT2011★ 2 cited
On Virtual Crossing Numbers for Virtual Knots
Vassily Olegovich Manturov
The aim of the present paper is to prove that the minimal number of virtual crossings for some families of virtual knots grows quadratically with respect to the minimal number of c…
math.GT2011★ 5 cited
Virtual Knot Invariants Arising From Parities
Denis Petrovich Ilyutko, Vassily Olegovich Manturov, Igor Mikhailovich Nikonov
In \cite {FrKn,Sbornik} it was shown that in some knot theories the crucial role is played by {\em parity}, i.e.\ a function on crossings valued in and behaving nicely wi…