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math.CO2022
Non-recursive Counts of Graphs on Surfaces
Nicholas Ercolani, Joceline Lega, Brandon Tippings
The problem of map enumeration concerns counting connected spatial graphs, with a specified number of vertices, that can be embedded in a compact surface of genus in such a…
math-ph2022★ 3 cited
Multiple Scale Asymptotics of Map Enumeration
Nicholas Ercolani, Joceline Lega, Brandon Tippings
We introduce a systematic approach to express generating functions for the enumeration of maps on surfaces of high genus in terms of a single generating function relevant to planar…