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We enumerate maximal chord diagrams up to all isomorphisms. The enumeration formula is based on a bijection between the rooted one-vertex one-face maps on locally orientable surfaces and a certain… Click to show full abstract
We enumerate maximal chord diagrams up to all isomorphisms. The enumeration formula is based on a bijection between the rooted one-vertex one-face maps on locally orientable surfaces and a certain class of symmetric chord diagrams. This result extends the result of Cori and Marcus on the enumeration of maximal chord diagrams up to rotations.
Keywords:
chord diagrams;
diagrams maximal;
chord;
maximal genus;
counting unlabelled;
unlabelled chord
Journal Title: Journal of Mathematical Sciences
Year Published: 2018
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Journal Title: Journal of Mathematical Sciences
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!