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Neural Computing and Applications
Published in: Neural Computing and Applications 1/2022

29-08-2021 | Original Article

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

Authors: Sanchari Bera, Madhumangal Pal

Published in: Neural Computing and Applications | Issue 1/2022

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Abstract

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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Metadata
Title
A novel concept of domination in m-polar interval-valued fuzzy graph and its application
Authors
Sanchari Bera
Madhumangal Pal
Publication date
29-08-2021
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 1/2022
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-021-06405-9

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