Rationality in map and hypermap enumeration by genus
Combinatorics
2016-09-20 v1
Abstract
Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integer coefficients that obey a differential recursion, and denominators are products of powers of explicit linear functions.
Keywords
Cite
@article{arxiv.1609.05493,
title = {Rationality in map and hypermap enumeration by genus},
author = {M. Kazarian and P. Zograf},
journal= {arXiv preprint arXiv:1609.05493},
year = {2016}
}
Comments
7 pages