Bipartite intrinsically knotted graphs with 23 edges

DOI10.1016/j.disc.2022.113022OpenAlexW1626275996MaRDI QIDQ2166281

Hyoungjun Kim, Seungsang Oh, Thomas W. Mattman

Publication date: 24 August 2022

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.06199

zbMATH Keywords

graph embeddingintrinsically knotted

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Graph theory (05Cxx) Manifolds and cell complexes (57-XX)

Cites Work

• Graphs of 20 edges are 2-apex, hence unknotted
• Graph minors. XX: Wagner's conjecture
• Exactly fourteen intrinsically knotted graphs have 21 edges
• A new intrinsically knotted graph with 22 edges
• Many, many more intrinsically knotted graphs
• Primitive spatial graphs and graph minors
• Graphs on 21 edges that are not 2-apex
• INTRINSICALLY KNOTTED GRAPHS HAVE AT LEAST 21 EDGES
• Recent developments in spatial graph theory
• More intrinsically knotted graphs with 22 edges and the restoring method
• Bipartite Intrinsically Knotted Graphs with 22 Edges
• SOME RESULTS ON INTRINSICALLY KNOTTED GRAPHS

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