Geodesic
The map asymptotics constant \(t_{g}\)
The electronic journal of combinatorics, Tome 15 (2008)
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The constant $t_g$ appears in the asymptotic formulas for a variety of rooted maps on the orientable surface of genus $g$. Heretofore, studying this constant has been difficult. A new recursion derived by Goulden and Jackson for rooted cubic maps provides a much simpler recursion for $t_g$ that leads to estimates for its asymptotics.
DOI : 10.37236/775
Classification : 05C30, 05C10, 05A16
Mots-clés : asymptotic formula, rooted map, orientable surface, genus, generating function asymptotics, cubic maps 
@article{10_37236_775,
     author = {Edward A. Bender and Zhicheng Gao and L. Bruce Richmond},
     title = {The map asymptotics constant \(t_{g}\)},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/775},
     zbl = {1159.05026},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/775/}
}
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Edward A. Bender; Zhicheng Gao; L. Bruce Richmond. The map asymptotics constant \(t_{g}\). The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/775

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