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Arithmetical Semigroups Related to Trees and Polyhedra, II — Maps on Surfaces

✍ Scribed by John Knopfmacher; Richard Warlimont

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 242 KB
Volume: 235
Category: Article
ISSN: 0025-584X
DOI: 10.1002/1522-2616(200202)235:1<59::aid-mana59>3.0.co;2-0

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✦ Synopsis

This paper extends recent investigations by Arnold Knopfmacher and John Knopfmacher [10] of asymptotic enumeration questions concerning finite graphs, trees and polyhedra. The present emphasis is on the counting of non-isomorphic maps of not necessarily connected finite graphs on arbitrary surfaces. A significant aid towards this goal is provided by an extended abstract prime number theorem, based partly on more delicate tools of analysis due to W. K. Hayman [8].

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