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

DOI10.1142/S0218216521500152zbMath1467.57015arXiv2007.00962OpenAlexW3139517303MaRDI QIDQ4992355

Kanako Oshiro, Natsumi Oyamaguchi

Publication date: 8 June 2021

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.00962

zbMATH Keywords

spatial graphregion coloringpaletteDehn coloringvertex condition

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Knot theory (57K10)

Related Items (1)

Dehn colorings and vertex-weight invariants for spatial graphs

Cites Work

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• On pallets for Fox colorings of spatial graphs
• Knots and graphs. I: Arc graphs and colorings
• Local biquandles and Niebrzydowski's tribracket theory
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• Homology of ternary algebras yielding invariants of knots and knotted surfaces
• Three Dimensions of Knot Coloring
• Dehn coloring and the dimer model for knots
• Color Invariant for Spatial Graphs
• A NOTE ON THE SHADOW COCYCLE INVARIANT OF A KNOT WITH A BASE POINT
• On some ternary operations in knot theory
• Metacyclic Invariants of Knots and Links

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