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arXiv · 1709.00796

Counting Unlabelled Chord Diagrams of Maximal Genus

Evgeniy Krasko
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Abstract

Maximal chord diagrams up to all isomorphisms are enumerated. The enumerating formula is based on a bijection between rooted one-vertex one-face maps on locally orientable surfaces and a certain class of symmetric chord diagrams. This result extends the one of Cori and Marcus regarding maximal chord diagrams enumerated up to rotations.

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Evgeniy Krasko. 2018-05-13. Counting Unlabelled Chord Diagrams of Maximal Genus. https://arxiv.org/abs/1709.00796

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