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math.CO2026
Universal Asymptotics and Exact Enumeration of Eulerian Maps
Ahmad Barhoumi, Roozbeh Gharakhloo, Nathan Hayford
We calculate the asymptotics of the number of connected, labeled, genus Eulerian maps with an arbitrary degree sequence, in the limit as the total number of vertices tends to i…
math.CO2025
Explicit enumeration and large-valence asymptotics of even-valent maps
Roozbeh Gharakhloo, Tomas Lasic Latimer
Let denote the number of connected labelled -valent maps of genus with vertices. Explicit bivariate formulae for have been a…