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The Map Asymptotics Constant
Edward A. Bender, Zhicheng Gao, L. Bruce Richmond
Source abstract
The constant appears in the asymptotic formulas for a variety of rooted maps on the orientable surface of genus . 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 that leads to estimates for its asymptotics.
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