DNA origami and unknotted A-trails in torus graphs

DOI10.1142/S0218216520500418zbMath1447.05063arXiv1703.03799OpenAlexW3025334721MaRDI QIDQ5119258

William Adkisson, Greta Pangborn, Jessica Greene, David Perry, Brenna Smith, Jo Ellis-Monaghan, Ada Morse

Publication date: 3 September 2020

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

Full work available at URL: https://arxiv.org/abs/1703.03799

zbMATH Keywords

knotsDNAknotted graphsEulerian circuitsA-trails

Mathematics Subject Classification ID

Applications of graph theory (05C90) Planar graphs; geometric and topological aspects of graph theory (05C10) Protein sequences, DNA sequences (92D20) Knot theory (57K10) Relations of manifolds and cell complexes with biology (57Z10)

Related Items (4)

A-trails of embedded graphs and twisted duals ⋮ New quantum invariants of planar knotoids ⋮ Unnamed Item ⋮ Edge-outer graph embedding and the complexity of the DNA reporter strand problem

Cites Work

• Design tools for reporter strands and DNA origami scaffold strands
• Algorithms and outerplanar conditions for \(A\)-trails in plane Eulerian graphs
• Orthogonal A-trails of 4-regular graphs embedded in surfaces of low genus
• Construction and enumeration of regular maps on the torus
• Knots
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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