Period and toroidal knot mosaics

DOI10.1142/S0218216517500316zbMath1365.05136arXiv1703.04867MaRDI QIDQ5269129

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

Publication date: 15 June 2017

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

Full work available at URL: https://arxiv.org/abs/1703.04867

zbMATH Keywords

knot mosaicquantum knottoroidal mosaic

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Related Items (5)

Maximal independent sets on a grid graph ⋮ Domino tilings of the expanded Aztec diamond ⋮ State matrix recursion method and monomer-dimer problem ⋮ Quantum knots and the number of knot mosaics ⋮ Growth rate of quantum knot mosaics

Cites Work

• Quantum knot mosaics and the growth constant
• On upper bounds for toroidal mosaic numbers
• Enumerating independent vertex sets in grid graphs
• Quantum knots and mosaics
• Hecke algebra representations of braid groups and link polynomials
• Quantum knots and the number of knot mosaics
• Small knot mosaics and partition matrices
• Estimating Jones polynomials is a complete problem for one clean qubit
• A polynomial invariant for knots via von Neumann algebras
• Upper bound on the total number of knot n-mosaics
• Mosaic number of knots
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