Linearly free graphs

DOI10.1002/jgt.22783arXiv2206.11449OpenAlexW4200622296MaRDI QIDQ6057892

Youngsik Huh, Jung Hoon Lee

Publication date: 5 October 2023

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.11449

zbMATH Keywords

free groupfundamental groupspatial graph\(3\)-spacelinearly free graph

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Relations of low-dimensional topology with graph theory (57M15) Knot theory (57K10)

Cites Work

• On intrinsically knotted or completely 3-linked graphs
• Exactly fourteen intrinsically knotted graphs have 21 edges
• On primitive sets of loops in the boundary of a handlebody
• Detecting unknotted graphs in 3-space
• On planarity of graphs in 3-manifolds
• Sachs' linkless embedding conjecture
• Linearly embedded graphs in 3-space with homotopically free exteriors
• Many, many more intrinsically knotted graphs
• Knots and links in spatial graphs
• More intrinsically knotted graphs
• Intrinsic linking and knotting are arbitrarily complex
• Intrinsically knotted graphs
• Color Invariant for Spatial Graphs
• Bipartite Intrinsically Knotted Graphs with 22 Edges
• An Algorithm for Detecting Intrinsically Knotted Graphs
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