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Any link has a diagram with only triangles and quadrilaterals

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arxiv 2308.14118 v1 pith:GLCL4D3N submitted 2023-08-27 math.GT math.CO

Reiko Shinjo , Kokoro Tanaka This is my paper · ORCID
classification math.GTmath.CO
keywords diagramlinkonlyquadrilateralsspheretrianglesadamsauthors
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abstract

A link diagram can be considered as a $4$-valent graph embedded in the $2$-sphere and divides the sphere into complementary regions. In this paper, we show that any link has a diagram with only triangles and quadrilaterals. This extends previous results shown by the authors and C. Adams.

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Cited by 1 Pith paper

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  1. Quasitoric representation of generalized braids

    math.GT 2024-11 conditional novelty 5.0 of 10

    Every oriented normal generalized link is the closure of a quasitoric normal generalized braid, and the quasitoric braids form a subgroup.

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