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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Character theory and rooted maps in an orientable surface of given genus: face-colored maps


Authors: D. M. Jackson and T. I. Visentin
Journal: Trans. Amer. Math. Soc. 322 (1990), 365-376
MSC: Primary 05C30; Secondary 05C10, 20C15
MathSciNet review: 1012516
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Abstract: The character theoretic approach [5] to the enumeration of rooted maps in an orientable surface of arbitrary genus is extended to $ 2$-face-colorable rooted maps. In particular, we show that there exists, for each genus, a correspondence between the set of $ 2$-colored triangulations and a set of $ 2$-colored rooted maps of all lower genera with a distinguished subset of vertices.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1990-1012516-6
PII: S 0002-9947(1990)1012516-6
Article copyright: © Copyright 1990 American Mathematical Society