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Regular version of the site

Article

Rationality in map and hypermap enumeration by genus

St Petersburg Mathematical Journal. 2018. Vol. 29. P. 439-445.
Zograf P., Kazaryan M.

Generating functions for a fixed genus map and hypermap enumeration become rational after a simple explicit change of variables. Their numerators are polynomials with integral coefficients that obey a differential recursion, and the denominators are products of powers of explicit linear functions.