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Distances of centroid sets in a graph-based construction for information security applications

Abawajy, J., Kelarev, A. V., Miller, M. and Ryan, J. 2015, Distances of centroid sets in a graph-based construction for information security applications, Mathematics in computer science, vol. 9, no. 2, pp. 127-137, doi: 10.1007/s11786-015-0217-1.

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Title Distances of centroid sets in a graph-based construction for information security applications
Author(s) Abawajy, J.
Kelarev, A. V.
Miller, M.
Ryan, J.
Journal name Mathematics in computer science
Volume number 9
Issue number 2
Start page 127
End page 137
Total pages 11
Publisher Springer
Place of publication Berlin, Germany
Publication date 2015-06
ISSN 1661-8270
1661-8289
Summary The aim of this paper is to prove that, for every balanced digraph, in every incidence semiring over a semifield, each centroid set J of the largest distance also has the largest weight, and the distance of J is equal to its weight. This result is surprising and unexpected, because examples show that distances of arbitrary centroid sets in incidence semirings may be strictly less than their weights. The investigation of the distances of centroid sets in incidence semirings of digraphs has been motivated by the information security applications of centroid sets.
Language eng
DOI 10.1007/s11786-015-0217-1
Field of Research 01 Mathematical Sciences
08 Information And Computing Sciences
080303 Computer System Security
Socio Economic Objective 890205 Information Processing Services (incl. Data Entry and Capture)
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Springer
Persistent URL http://hdl.handle.net/10536/DRO/DU:30077879

Document type: Journal Article
Collection: School of Information Technology
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