Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions

Kanako Oshiro; Natsumi Oyamaguchi

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arXiv · 2007.00962

Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions

Kanako Oshiro·Natsumi Oyamaguchi

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Abstract

In this paper, we study Dehn colorings of spatial graph diagrams, and classify the vertex conditions, equivalently the palettes. We give some example of spatial graphs which can be distinguished by the number of Dehn colorings with selecting an appropriate palette. Furthermore, we also discuss the generalized version of palettes, which is defined for knot-theoretic ternary-quasigroups and region colorings of spatial graph diagrams.

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Kanako Oshiro, Natsumi Oyamaguchi. 2020-07-02. Palettes of Dehn colorings for spatial graphs and the classification of vertex conditions. https://arxiv.org/abs/2007.00962

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