Complexities of a knitting pattern

Complexities of a knitting pattern

A knitting pattern is a tangle diagram in the square and a knitting is a tessellation of a knitting pattern in the plane. In this paper, a classification of the knitting patterns is done in terms of virtual links and some complexities of a knitting pattern by some topological invariants are studied....

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Veröffentlicht in:Reactive & functional polymers 2018-10, Vol.131, p.230-236
1. Verfasser: Kawauchi, Akio
Format: Artikel
Sprache:eng
Schlagworte:
Chain entanglement
Cross-index 2000 MSC: 57M15, 57M25, 68R10
Knitting
Knitting pattern
Needlework
Polymerization
Polymers
Tessellation
Unknotting number
Virtual link
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Beschreibung
Zusammenfassung:A knitting pattern is a tangle diagram in the square and a knitting is a tessellation of a knitting pattern in the plane. In this paper, a classification of the knitting patterns is done in terms of virtual links and some complexities of a knitting pattern by some topological invariants are studied. Generalizations to a chain pattern and a graph-tangle pattern are also discussed.
ISSN:1381-5148
1873-166X
DOI:10.1016/j.reactfunctpolym.2018.07.025