Deakin University
Browse
yearwood-reesmatrixconstructions-2009.pdf (221.49 kB)

Rees matrix constructions for clustering of data

Download (221.49 kB)
journal contribution
posted on 2009-12-01, 00:00 authored by A V Kelarev, P Watters, John YearwoodJohn Yearwood
This paper continues the investigation of semigroup constructions motivated by applications in data mining. We give a complete description of the error-correcting capabilities of a large family of clusterers based on Rees matrix semigroups well known in semigroup theory. This result strengthens and complements previous formulas recently obtained in the literature. Examples show that our theorems do not generalize to other classes of semigroups. © 2009 Copyright Australian Mathematical Publishing Association, Inc.

History

Journal

Journal of the Australian Mathematical Society

Volume

87

Issue

3

Pagination

377 - 393

Publisher

Cambridge University Press (CUP)

ISSN

1446-7887

eISSN

1446-8107

Publication classification

CN.1 Other journal article

Usage metrics

    Research Publications

    Categories

    No categories selected

    Keywords

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC