Maps, immersions and permutations

DOI10.1142/S0218216516500474zbMath1343.05106arXiv1507.03163OpenAlexW1872856231MaRDI QIDQ3188159

Robert Coquereaux, Jean-Bernard Zuber

Publication date: 17 August 2016

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

Full work available at URL: https://arxiv.org/abs/1507.03163

zbMATH Keywords

closed curvesembedded graphstopological mapsimmersed curvesknot diagrams

Mathematics Subject Classification ID

Related Items (4)

A classification of spherical curves based on Gauss diagrams ⋮ A Markov Chain Sampler for Plane Curves ⋮ A complete list of minimal diagrams of an oriented alternating knot ⋮ Asymptotic laws for random knot diagrams

Uses Software

• Magma
• Mathematica
• OEIS

Cites Work

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• The classification of alternating links
• Genus ranges of 4-regular rigid vertex graphs
• Finite Gel'fand pairs and their applications to probability and statistics
• Quantum field theory techniques in graphical enumeration
• The Magma algebra system. I: The user language
• Meanders: Exact asymptotics
• Planar diagrams
• Counting rooted maps by genus. I
• On the number of topological types of plane curves
• THE PLANARITY PROBLEM FOR SIGNED GAUSS WORDS
• A TRANSFER MATRIX APPROACH TO THE ENUMERATION OF COLORED LINKS
• On the Asymptotic Number of Plane Curves and Alternating Knots

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