Rees semigroups of digraphs for classification of data

Abawajy, J., Kelarev, A.V., Miller, M. and Ryan, J. 2016, Rees semigroups of digraphs for classification of data, Semigroup forum, vol. 92, no. 1, pp. 121-134, doi: 10.1007/s00233-014-9685-x.

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Title Rees semigroups of digraphs for classification of data
Author(s) Abawajy, J.ORCID iD for Abawajy, J.
Kelarev, A.V.
Miller, M.
Ryan, J.
Journal name Semigroup forum
Volume number 92
Issue number 1
Start page 121
End page 134
Total pages 14
Publisher Springer
Place of publication New York, N.Y.
Publication date 2016-02
ISSN 0037-1912
Keyword(s) directed graphs
Rees matrix semigroups
incidence semigroups
semigroups semirings
data mining applications
Summary Recent research has motivated the investigation of the weights of ideals in semiring constructions based on semigroups. The present paper introduces Rees semigroups of directed graphs. This new construction is a common generalization of Rees matrix semigroups and incidence semigroups of digraphs. For each finite subsemigroup S of the Rees semigroup of a digraph and for every zero-divisor-free idempotent semiring F with identity element, our main theorem describes all ideals J in the semigroup semiring F0[S] such that J has the largest possible weight.
Language eng
DOI 10.1007/s00233-014-9685-x
Field of Research 080599 Distributed Computing not elsewhere classified
Socio Economic Objective 890101 Fixed Line Data Networks and Services
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2014, Springer
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