Bounds on the number of generalized partitions and some applications

Dukes, W. M. B. (2003) Bounds on the number of generalized partitions and some applications. Australasian Journal of Combinatorics, 28. pp. 257-262. ISSN 1034-4942

Abstract

We present bounds concerning the number of Hartmanis partitions of a finite set. An application of these inequalities improves the known asymptotic lower bound on the number of linear spaces on n points. We also present an upper bound for a certain class of these partitions which bounds the number of Steiner triple and quadruple systems.

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• Item metadata

  Item type:	Article
  ID code:	50747
  Dates:	Date Event September 2003 Published
  Subjects:	Science > Mathematics > Electronic computers. Computer science
  Department:	Faculty of Science > Computer and Information Sciences
  Depositing user:	Pure Administrator
  Date deposited:	10 Dec 2014 11:57
  Last modified:	08 Apr 2024 21:52
  Related URLs:	Journal or Publication
  URI:	https://strathprints.strath.ac.uk/id/eprint/50747