Detail publikace

Elements of Hyperstructure Theory in UWSN Design and Data Aggregation

NOVÁK, M. KŘEHLÍK, Š. OVALIADIS, K.

Originální název

Elements of Hyperstructure Theory in UWSN Design and Data Aggregation

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

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, $EL$-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.

Klíčová slova

clustering protocols; quasi-automaton; quasi-multiautomaton; semihypergroup; UWSN

Autoři

NOVÁK, M.; KŘEHLÍK, Š.; OVALIADIS, K.

Vydáno

29. 5. 2019

Nakladatel

MDPI

ISSN

2073-8994

Periodikum

Symmetry

Ročník

11

Číslo

6

Stát

Švýcarská konfederace

Strany od

1

Strany do

16

Strany počet

16

URL

https://www.mdpi.com/2073-8994/11/6/734

Plný text v Digitální knihovně

http://hdl.handle.net/11012/179270

BibTex

@article{BUT157135,
  author="Michal {Novák} and Štěpán {Křehlík} and Kyriakos {Ovaliadis}",
  title="Elements of Hyperstructure Theory in UWSN Design and Data Aggregation",
  journal="Symmetry",
  year="2019",
  volume="11",
  number="6",
  pages="1--16",
  doi="10.3390/sym11060734",
  issn="2073-8994",
  url="https://www.mdpi.com/2073-8994/11/6/734"
}