Lower bounds for the warping degree of a knot projection

dc.contributor.authorAtsushi Ohya
dc.contributor.authorAyaka Shimizu
dc.date.accessioned2025-07-21T06:07:43Z
dc.date.issued2022-09-25
dc.description.abstractThe warping degree of an oriented knot diagram is the minimal number of crossings which we meet as an under-crossing first when we travel along the diagram from a fixed point. The warping degree of a knot projection is the minimal value of the warping degree for all oriented alternating diagrams obtained from the knot projection. In this paper, we consider the maximal number of regions which share no crossings for a knot projection with a fixed crossing, and give lower bounds for the warping degree.
dc.identifier.doi10.1142/s0218216522500912
dc.identifier.urihttps://dspace.kmitl.ac.th/handle/123456789/11682
dc.subjectImage warping
dc.subjectDegree (music)
dc.subject.classificationGeometric and Algebraic Topology
dc.titleLower bounds for the warping degree of a knot projection
dc.typeArticle

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