A Generalization of Pretzel Links via Spatial Graphs

Kotaro Shoji

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arXiv · 2603.07876

A Generalization of Pretzel Links via Spatial Graphs

Kotaro Shoji

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Abstract

In this paper, we introduce \textit{graph-pretzel links}, a generalization of classical pretzel links based on spatial graph projections. As our main result, we investigate a subfamily associated with the complete graph on four vertices to construct an infinite family of distinct ribbon knots. Furthermore, although they all share a trivial Alexander polynomial, they can be distinguished from one another by their Jones polynomials.

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Kotaro Shoji. 2026-03-09. A Generalization of Pretzel Links via Spatial Graphs. https://arxiv.org/abs/2603.07876

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