A novel concept of domination in m-polar interval-valued fuzzy graph and its application

The concept of domination is one of the most significant topics in graph theory to handle unpredictable phenomena. In this study, an unprecedented idea of domination is introduced in m-polar interval-valued fuzzy graph (m-PIVFG). Domination number (DN), isolated vertex, total dominating set, indepen...

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Detalles Bibliográficos
Autores principales: Bera, Sanchari, Pal, Madhumangal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer London 2021
Materias:
Original Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8403499/
https://www.ncbi.nlm.nih.gov/pubmed/34483494
http://dx.doi.org/10.1007/s00521-021-06405-9
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author Bera, Sanchari
Pal, Madhumangal
author_facet Bera, Sanchari
Pal, Madhumangal
author_sort Bera, Sanchari
collection PubMed
description The concept of domination is one of the most significant topics in graph theory to handle unpredictable phenomena. In this study, an unprecedented idea of domination is introduced in m-polar interval-valued fuzzy graph (m-PIVFG). Domination number (DN), isolated vertex, total dominating set, independent set of domination on m-PIVFG are discussed. Some algebraic properties of domination on m-PIVFG are investigated. Weak domination, strong domination, split and non-split domination, cototal and global dominating sets on m-PIVFG are investigated with some fundamental hypotheses and models. We explore the concept of domination in m-PIVFG by solving a case study of locating new facilities to handle a catastrophe reaction activity due to the “COVID-19 pandemic” in West Bengal, India. Ultimately, conclusions and avenues of future scopes are placed at the end of this study.
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spelling pubmed-84034992021-08-30 A novel concept of domination in m-polar interval-valued fuzzy graph and its application Bera, Sanchari Pal, Madhumangal Neural Comput Appl Original Article The concept of domination is one of the most significant topics in graph theory to handle unpredictable phenomena. In this study, an unprecedented idea of domination is introduced in m-polar interval-valued fuzzy graph (m-PIVFG). Domination number (DN), isolated vertex, total dominating set, independent set of domination on m-PIVFG are discussed. Some algebraic properties of domination on m-PIVFG are investigated. Weak domination, strong domination, split and non-split domination, cototal and global dominating sets on m-PIVFG are investigated with some fundamental hypotheses and models. We explore the concept of domination in m-PIVFG by solving a case study of locating new facilities to handle a catastrophe reaction activity due to the “COVID-19 pandemic” in West Bengal, India. Ultimately, conclusions and avenues of future scopes are placed at the end of this study. Springer London 2021-08-29 2022 /pmc/articles/PMC8403499/ /pubmed/34483494 http://dx.doi.org/10.1007/s00521-021-06405-9 Text en © The Author(s), under exclusive licence to Springer-Verlag London Ltd., part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Article
Bera, Sanchari
Pal, Madhumangal
A novel concept of domination in m-polar interval-valued fuzzy graph and its application
title A novel concept of domination in m-polar interval-valued fuzzy graph and its application
title_full A novel concept of domination in m-polar interval-valued fuzzy graph and its application
title_fullStr A novel concept of domination in m-polar interval-valued fuzzy graph and its application
title_full_unstemmed A novel concept of domination in m-polar interval-valued fuzzy graph and its application
title_short A novel concept of domination in m-polar interval-valued fuzzy graph and its application
title_sort novel concept of domination in m-polar interval-valued fuzzy graph and its application
topic Original Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8403499/
https://www.ncbi.nlm.nih.gov/pubmed/34483494
http://dx.doi.org/10.1007/s00521-021-06405-9
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