Spatial graph as connected sum of a planar graph and a braid

DOI10.1142/S0218216521500772zbMath1495.57014arXiv2006.16072OpenAlexW4205337565MaRDI QIDQ5033073

Akio Kawauchi, Valeriy G. Bardakov

Publication date: 22 February 2022

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

Full work available at URL: https://arxiv.org/abs/2006.16072

zbMATH Keywords

planar graphtanglebraidspatial graphfundamental group of spatial graph

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Generalized knots (virtual knots, welded knots, quandles, etc.) (57K12)

Cites Work

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• Braid presentation of spatial graphs
• Category theoretic representations of knotted graphs in \(S^ 3\)
• Embedding knots and links in an open book. I: Basic properties
• Knots and links in spatial graphs
• Knotting probability of an arc diagram
• Invariants of Graphs in Three-Space
• On the braid index of?m-curve in 3-space
• Embedding knots and links in an open book II. Bounds on arc index
• On Transforming a Spatial Graph into a Plane Graph

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