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We establish a simple recurrence formula for the number $Q_g^n$ of rooted orientable maps counted by edges and genus.
A census of planar maps
W. T. Tutte · 1963
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The asymptotic number of rooted maps on a surface
Edward A. Bender and E. Rodney Canfield · 1986
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The Euler characteristic of the moduli space of curves
J. Harer and D. Zagier · 1986
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Singularity analysis of generating functions
Philippe Flajolet and Andrew Odlyzko · 1990
Earlier work this paper cites.
A character-theoretic approach to embeddings of rooted maps in an orientable surface of given genus
D. M. Jackson and T. I. Visentin · 1990
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The number of rooted maps on an orientable surface
Edward A. Bender and E. Rodney Canfield · 1991
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Maps, hypermaps and their automorphisms: a survey. I, II, III
Robert Cori and Antonio Machì · 1992
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The asymptotic number of rooted maps on a surface. II. Enumeration by vertices and faces
Edward A. Bender, E. Rodney Canfield, and L. Bruce Richmond · 1993
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The number of degree restricted maps on general surfaces
Zhicheng Gao · 1993
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Solitons
T. Miwa, M. Jimbo, and E. Date · 1993
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Bijective census and random generation of Eulerian planar maps with prescribed vertex degrees
Gilles Schaeffer · 1997
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Énumération des cartes pointées sur une surface orientable de genre quelconque en fonction des nombres de sommets et de faces
Didier Arquès and Alain Giorgetti · 1999
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Toda equations for Hurwitz numbers
Andrei Okounkov · 2000
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Hypergeometric solutions of soliton equations
A. Yu. Orlov and D. M. Shcherbin · 2001
Cited alongside, same era.
The map asymptotics constant t g t_{g}
Edward A. Bender, Zhicheng Gao, and L. Bruce Richmond · 2008
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The KP hierarchy, branched covers, and triangulations
I. P. Goulden and D. M. Jackson · 2008
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Asymptotic enumeration of constellations and related families of maps on orientable surfaces
Guillaume Chapuy · 2009
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A bijection for rooted maps on orientable surfaces
Guillaume Chapuy, Michel Marcus, and Gilles Schaeffer · 2009
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Symmetric functions, codes of partitions and the KP hierarchy
S. R. Carrell and I. P. Goulden · 2010
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The structure of unicellular maps, and a connection between maps of positive genus and planar labelled trees
Guillaume Chapuy · 2010
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Random planar lattices and integrated superBrownian excursion
Philippe Chassaing and Gilles Schaeffer · 2004
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Graphs on surfaces and their applications
Sergei K. Lando and Alexander K. Zvonkin · 2004
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Counting Surfaces
Bertrand Eynard
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An analogue of the Harer-Zagier formula for unicellular maps on general surfaces
Olivier Bernardi · 2012
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A simple model of trees for unicellular maps
Guillaume Chapuy, Valentin Féray, and Éric Fusy · 2013
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