Abstract
A state of a virtual knot diagram D is a disjoint union of circles obtained from D by splicing all real crossings. For each integer n > 0, we denote by sn(D) the number of states of D consisting of n circles. The state number of a virtual knot K is the minimal number of sn(D) for all diagrams D of K and denoted by s n(K). The aim of this paper is to study sn(D) and s n(K).
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