Unknotting numbers and crossing numbers of spatial embeddings of a planar graph

DOI10.1142/S0218216520500959zbMath1459.57003arXiv2010.05245OpenAlexW3115639826WikidataQ114072891 ScholiaQ114072891MaRDI QIDQ4965612

Yuta Akimoto, Kouki Taniyama

Publication date: 6 March 2021

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

Full work available at URL: https://arxiv.org/abs/2010.05245

zbMATH Keywords

knotcrossing numberunknotting numberspatial graphknotted projectiontrivializable graph

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Knot theory (57K10)

Related Items (1)

On inequalities between unknotting numbers and crossing numbers of spatial embeddings of trivializable graphs and handlebody-knots

Cites Work

• Unnamed Item
• UNKNOTTING NUMBERS OF DIAGRAMS OF A GIVEN NONTRIVIAL KNOT ARE UNBOUNDED
• ON AN EXTENSION OF TRIVIALIZABLE GRAPHS
• Knotted Projections of Planar Graphs
• NEWLY FOUND FORBIDDEN GRAPHS FOR TRIVIALIZABILITY
• Homeomorphic Continuous Curves in 2-Space are Isotopic in 3-Space

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