Any link has a diagram with only triangles and quadrilaterals
Reiko Shinjo, Kokoro Tanaka

TL;DR
This paper proves that every link can be represented by a diagram composed solely of triangular and quadrilateral regions, extending previous related results.
Contribution
It establishes that any link admits a diagram with only triangles and quadrilaterals, broadening the understanding of link diagram structures.
Findings
Every link has a diagram with only triangles and quadrilaterals
Extends previous results by the authors and C. Adams
Provides a new class of simplified link diagrams
Abstract
A link diagram can be considered as a -valent graph embedded in the -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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Taxonomy
TopicsGeometric and Algebraic Topology · Computational Geometry and Mesh Generation · Graph Theory and Algorithms
