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Title:Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems
Authors:ID Firouzkouhi, Narjes, Golestan University (Author)
ID Ameri, Reza, University of Tehran (Author)
ID Amini, Abbas, Australian University-Kuwait (Author)
ID bordbar, Hashem, University of Nova Gorica (Author)
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Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:UNG - University of Nova Gorica
Abstract:Graph theoretic techniques have been widely applied to model many types of links in social systems. Also, algebraic hypercompositional structure theory has demonstrated its systematic application in some problems. Influenced by these mathematical notions, a novel semihypergroup based graph (SBG) of G = hH, Ei is constructed through the fundamental relation gn on H, where semihypergroup H is appointed as the set of vertices and E is addressed as the set of edges on SBG. Indeed, two arbitrary vertices x and y are adjacent if xgny. The connectivity of graph G is characterized by xg y, whereby the connected components SBG of G would be exactly the elements of the fundamental group H/g . Based on SBG, some fundamental characteristics of the graph such as complete, regular, Eulerian, isomorphism, and Cartesian products are discussed along with illustrative examples to clarify the relevance between semihypergroup H and its corresponding graph. Furthermore, the notions of geometric space, block, polygonal, and connected components are introduced in terms of the developed SBG. To formulate the links among individuals/countries in the wake of the COVID (coronavirus disease) pandemic, a theoretical SBG methodology is presented to analyze and simplify such social systems. Finally, the developed SBG is used to model the trend diffusion of the viral disease COVID-n in social systems (i.e., countries and individuals).
Keywords:graph theory, hypergroup, fundamental relation, social systems, geometric space
Publication version:Version of Record
Year of publishing:2022
Number of pages:13
Numbering:23, 10
PID:20.500.12556/RUNG-7725 New window
COBISS.SI-ID:130606595 New window
DOI:https://doi.org/10.3390/math10234405 New window
NUK URN:URN:SI:UNG:REP:7VQRISAJ
Publication date in RUNG:23.11.2022
Views:2161
Downloads:0
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FIROUZKOUHI, Narjes, AMERI, Reza, AMINI, Abbas and BORDBAR, Hashem, 2022, Semihypergroup-Based Graph for Modeling International Spread of COVID-n in Social Systems. NA [online]. 2022. Vol. 23, no. 10. [Accessed 7 April 2025]. DOI https://doi.org/10.3390/math10234405. Retrieved from: https://repozitorij.ung.si/IzpisGradiva.php?lang=eng&id=7725
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Record is a part of a proceedings

Title:NA

Record is a part of a journal

Title:Mathematics(MDPI)
Publisher:MDPI
Year of publishing:2022
ISSN:2227-7390

Licences

License:CC BY-ND 4.0, Creative Commons Attribution-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nd/4.0/
Description:Under the NoDerivatives Creative Commons license one can take a work released under this license and re-distribute it, but it cannot be shared with others in adapted form, and credit must be provided to the author.
Licensing start date:23.11.2022

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Language:Unknown
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