PLANE CURVES IN AN IMMERSED GRAPH IN ℝ2
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Publication:4922097
DOI10.1142/S021821651350003XzbMath1264.05038arXiv1210.7315OpenAlexW2963055192MaRDI QIDQ4922097
Kouki Taniyama, Marisa Sakamoto
Publication date: 28 May 2013
Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.7315
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Related Items (4)
Triple chords and strong (1, 2) homotopy ⋮ Crossing numbers and rotation numbers of cycles in a plane immersed graph ⋮ Strong and weak \((1,3)\) homotopies on knot projections ⋮ Any nontrivial knot projection with no triple chords has a monogon or a bigon
Cites Work
- Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
- On graphs for which every planar immersion lifts to a knotted spatial embedding
- An intrinsic nontriviality of graphs
- A refinement of the Conway-Gordon theorems
- A partial order of knots
- Invariants of curves and fronts via Gauss diagrams
- Sachs' linkless embedding conjecture
- Knots and links in spatial graphs
- INTRINSICALLY n-LINKED COMPLETE BIPARTITE GRAPHS
- Intrinsically knotted graphs
- INTRINSICALLY n-LINKED GRAPHS
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