Completeness and regularity of generalized fuzzy graphs

Fuzzy graphs are the backbone of many real systems like networks, image, scheduling, etc. But, due to some restriction on edges, fuzzy graphs are limited to represent for some systems. Generalized fuzzy graphs are appropriate to avoid such restrictions. In this study generalized fuzzy graphs are int...

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Autores principales: Samanta, Sovan, Sarkar, Biswajit, Shin, Dongmin, Pal, Madhumangal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5110513/
https://www.ncbi.nlm.nih.gov/pubmed/27917350
http://dx.doi.org/10.1186/s40064-016-3558-6
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author Samanta, Sovan
Sarkar, Biswajit
Shin, Dongmin
Pal, Madhumangal
author_facet Samanta, Sovan
Sarkar, Biswajit
Shin, Dongmin
Pal, Madhumangal
author_sort Samanta, Sovan
collection PubMed
description Fuzzy graphs are the backbone of many real systems like networks, image, scheduling, etc. But, due to some restriction on edges, fuzzy graphs are limited to represent for some systems. Generalized fuzzy graphs are appropriate to avoid such restrictions. In this study generalized fuzzy graphs are introduced. In this study, matrix representation of generalized fuzzy graphs is described. Completeness and regularity are two important parameters of graph theory. Here, regular and complete generalized fuzzy graphs are introduced. Some properties of them are discussed. After that, effective regular graphs are exemplified.
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spelling pubmed-51105132016-12-02 Completeness and regularity of generalized fuzzy graphs Samanta, Sovan Sarkar, Biswajit Shin, Dongmin Pal, Madhumangal Springerplus Research Fuzzy graphs are the backbone of many real systems like networks, image, scheduling, etc. But, due to some restriction on edges, fuzzy graphs are limited to represent for some systems. Generalized fuzzy graphs are appropriate to avoid such restrictions. In this study generalized fuzzy graphs are introduced. In this study, matrix representation of generalized fuzzy graphs is described. Completeness and regularity are two important parameters of graph theory. Here, regular and complete generalized fuzzy graphs are introduced. Some properties of them are discussed. After that, effective regular graphs are exemplified. Springer International Publishing 2016-11-15 /pmc/articles/PMC5110513/ /pubmed/27917350 http://dx.doi.org/10.1186/s40064-016-3558-6 Text en © The Author(s) 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Samanta, Sovan
Sarkar, Biswajit
Shin, Dongmin
Pal, Madhumangal
Completeness and regularity of generalized fuzzy graphs
title Completeness and regularity of generalized fuzzy graphs
title_full Completeness and regularity of generalized fuzzy graphs
title_fullStr Completeness and regularity of generalized fuzzy graphs
title_full_unstemmed Completeness and regularity of generalized fuzzy graphs
title_short Completeness and regularity of generalized fuzzy graphs
title_sort completeness and regularity of generalized fuzzy graphs
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5110513/
https://www.ncbi.nlm.nih.gov/pubmed/27917350
http://dx.doi.org/10.1186/s40064-016-3558-6
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AT sarkarbiswajit completenessandregularityofgeneralizedfuzzygraphs
AT shindongmin completenessandregularityofgeneralizedfuzzygraphs
AT palmadhumangal completenessandregularityofgeneralizedfuzzygraphs

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