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Article

Elements of Hyperstructure Theory in UWSN Design and Data Aggregation

1
Faculty of Electrical Engineering and Communication, Brno University of Technology, Technická 8, 616 00 Brno, Czech Republic
2
Department of Applied Mathematics and Computer Science, Masaryk University, Lipová 41a, 602 00 Brno, Czech Republic
3
Department of Electrical Engineering, Eastern Macedonia and Thrace Institute of Technology, Agios Loukas, 654 04 Kavala, Greece
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(6), 734; https://doi.org/10.3390/sym11060734
Received: 8 May 2019 / Revised: 21 May 2019 / Accepted: 27 May 2019 / Published: 29 May 2019
In our paper we discuss how elements of algebraic hyperstructure theory can be used in the context of underwater wireless sensor networks (UWSN). We present a mathematical model which makes use of the fact that when deploying nodes or operating the network we, from the mathematical point of view, regard an operation (or a hyperoperation) and a binary relation. In this part of the paper we relate our context to already existing topics of the algebraic hyperstructure theory such as quasi-order hypergroups, E L -hyperstructures, or ordered hyperstructures. Furthermore, we make use of the theory of quasi-automata (or rather, semiautomata) to relate the process of UWSN data aggregation to the existing algebraic theory of quasi-automata and their hyperstructure generalization. We show that the process of data aggregation can be seen as an automaton, or rather its hyperstructure generalization, with states representing stages of the data aggregation process of cluster protocols and describing available/used memory capacity of the network. View Full-Text
Keywords: clustering protocols; quasi-automaton; quasi-multiautomaton; semihypergroup; UWSN clustering protocols; quasi-automaton; quasi-multiautomaton; semihypergroup; UWSN
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MDPI and ACS Style

Novák, M.; Křehlík, Š.; Ovaliadis, K. Elements of Hyperstructure Theory in UWSN Design and Data Aggregation. Symmetry 2019, 11, 734. https://doi.org/10.3390/sym11060734

AMA Style

Novák M, Křehlík Š, Ovaliadis K. Elements of Hyperstructure Theory in UWSN Design and Data Aggregation. Symmetry. 2019; 11(6):734. https://doi.org/10.3390/sym11060734

Chicago/Turabian Style

Novák, Michal, Štepán Křehlík, and Kyriakos Ovaliadis. 2019. "Elements of Hyperstructure Theory in UWSN Design and Data Aggregation" Symmetry 11, no. 6: 734. https://doi.org/10.3390/sym11060734

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