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Completeness and regularity of generalized fuzzy graphs

Authors
Samanta, SovanSarkar, BiswajitShin, DongminPal, Madhumangal
Issue Date
Dec-2016
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Keywords
Generalized fuzzy graphs; Effective edge; Regular graphs; Complete graphs; Matrix
Citation
SPRINGERPLUS, v.5, no.1, pp.1 - 14
Indexed
SCIE
SCOPUS
Journal Title
SPRINGERPLUS
Volume
5
Number
1
Start Page
1
End Page
14
URI
https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/12209
DOI
10.1186/s40064-016-3558-6
ISSN
2193-1801
Abstract
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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ERICA 공학대학 (DEPARTMENT OF INDUSTRIAL & MANAGEMENT ENGINEERING)
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