TL;DR
This paper discusses and classifies piecewise-linear virtual knots, providing a systematic categorization up to a specified complexity level, which advances understanding of virtual knot structures.
Contribution
It offers a classification of piecewise-linear virtual knots up to edge index six, contributing a comprehensive categorization to the field.
Findings
Classification of virtual knots up to edge index six
Development of methods for knot enumeration
Enhanced understanding of virtual knot complexity
Abstract
Piecewise-linear virtual knots are discussed and classified up to edge index six.
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Taxonomy
TopicsAdvanced Materials and Mechanics · Geometric and Algebraic Topology