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Arithmetical Semigroups Related to Trees and Polyhedra

✍ Scribed by A. Knopfmacher; J. Knopfmacher

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 152 KB
Volume: 86
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1998.2917

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✦ Synopsis

With emphasis on some natural asymptotic enumeration questions, a study is made of various arithmetical semigroups associated with isomorphism classes of finite graphs, trees and polyhedra. A suitable ``abstract prime number theorem'' is derived, particularly as an aid to solving the counting questions stated.

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