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An algorithm for map enumeration

Published in ArXiv.org • Oct 19, 2006
NobleIDNI3P28W28R56S46
Authors:
Virgil U. Pierce

Abstract

Bauer and Itzykson showed that associated to each labeled map embedded on an oriented Riemann surface there was a group generated by a pair of permutations. From this result an algorithm may be constructed for enumerating labeled maps, and this construction is easily augmented to bin the numbers by ...

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