A bijection for tri-cellular maps
Combinatorics
2019-08-13 v1
Abstract
In this paper we give a bijective proof for a relation between uni- bi- and tricellular maps of certain topological genus. While this relation can formally be obtained using Matrix-theory as a result of the Schwinger-Dyson equation, we here present a bijection for the corresponding coefficient equation. Our construction is facilitated by repeated application of a certain cutting, the contraction of edges, incident to two vertices and the deletion of certain edges.
Cite
@article{arxiv.1305.3460,
title = {A bijection for tri-cellular maps},
author = {Hillary S. W. Han and Christian M. Reidys},
journal= {arXiv preprint arXiv:1305.3460},
year = {2019}
}
Comments
20 pages, 9 figures