Meander knots and links
Slavik Jablan, Ljiljana Radovic
TL;DR
This paper introduces the concept of meander knots and links, exploring their properties and deriving various families from open meanders with up to 16 crossings, including semi-meander knots and their products.
Contribution
It defines new classes of knots and links based on meander structures and develops methods to derive families from open meanders, expanding knot theory.
Findings
Defined meander knots and links with up to 16 crossings
Introduced semi-meander knots and their products
Derived multiple families of meander knots and links
Abstract
We introduced concept of meander knots, 2-component meander links and multi-component meander links and derived different families of meander knots and links from open meanders with at most 16 crossings. We also defined semi-meander knots (or knots with ordered Gauss code) and their product.
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Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Combinatorial Mathematics · semigroups and automata theory