Counting Unlabelled Chord Diagrams of Maximal Genus
Combinatorics
2018-05-15 v2
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.
Keywords
Cite
@article{arxiv.1709.00796,
title = {Counting Unlabelled Chord Diagrams of Maximal Genus},
author = {Evgeniy Krasko},
journal= {arXiv preprint arXiv:1709.00796},
year = {2018}
}