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Families of not perfectly straight knots
- Publication Year :
- 2018
-
Abstract
- We present two families of knots which have straight number higher than crossing number. In the case of the second family, we have computed the straight number explicitly. We also give a general theorem about alternating knots that states adding an even number of crossings to a twist region will not change whether the knots are perfectly straight or not perfectly straight.<br />10 pages, 6 figures, Comments and suggestions welcome. Minor grammatical corrections, added two questions
- Subjects :
- Pure mathematics
Algebra and Number Theory
General theorem
Crossing number (knot theory)
010102 general mathematics
Geometric Topology (math.GT)
Computer Science::Computational Geometry
01 natural sciences
Mathematics::Geometric Topology
Flype
Mathematics - Geometric Topology
0103 physical sciences
57M25, 57M27
FOS: Mathematics
010307 mathematical physics
0101 mathematics
Twist
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....4a5596658c14e719460843f49d8d5a51
- Full Text :
- https://doi.org/10.1142/S0218216519500275