Mosaic number of knots

DOI10.1142/S0218216514500692zbMath1310.57016arXiv1301.6041MaRDI QIDQ5174867

Hwa Jeong Lee, Seungsang Oh, Kyungpyo Hong, Ho Lee

Publication date: 19 February 2015

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.6041

zbMATH Keywords

knot mosaicquantum knotmosaic number

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (13)

Quantum knot mosaics and the growth constant ⋮ Geography of Legendrian knot mosaics ⋮ Tile number and space-efficient knot mosaics ⋮ Knot mosaic tabulation ⋮ Mosaics and Virtual Knots ⋮ Signed mosaic graphs and alternating mosaic number of knots ⋮ Upper bound on the total number of knot n-mosaics ⋮ Quantum knots and the number of knot mosaics ⋮ Crossing number bounds in knot mosaics ⋮ Virtual mosaic knot theory ⋮ Hexagonal mosaic links generated by saturation ⋮ Period and toroidal knot mosaics ⋮ Enumeration on graph mosaics

Cites Work

• Quantum knots and mosaics
• Embedding knots and links in an open book. I: Basic properties
• Small knot mosaics and partition matrices
• PRIME KNOTS WITH ARC INDEX UP TO 11 AND AN UPPER BOUND OF ARC INDEX FOR NON-ALTERNATING KNOTS
• An upper bound of arc index of links
• Upper bound on the total number of knot n-mosaics
• THE LOMONACO–KAUFFMAN CONJECTURE
• Arc-presentations of links: Monotonic simplification

This page was built for publication: Mosaic number of knots