# Completeness and regularity of generalized fuzzy graphs

Sovan Samanta, Biswajit Sarkar, Dongmin Shin, Madhumangal Pal

Research output: Contribution to journalArticle

18 Citations (Scopus)

### 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.

Original language English 1979 SpringerPlus 5 1 https://doi.org/10.1186/s40064-016-3558-6 Published - 2016 Dec 1

### Fingerprint

Fuzzy Graph
Completeness
Regularity
Restriction
Matrix Representation
Regular Graph
Backbone
Graph theory
Two Parameters
Scheduling

• General

### Cite this

Samanta, Sovan ; Sarkar, Biswajit ; Shin, Dongmin ; Pal, Madhumangal. / Completeness and regularity of generalized fuzzy graphs. In: SpringerPlus. 2016 ; Vol. 5, No. 1.
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Completeness and regularity of generalized fuzzy graphs. / Samanta, Sovan; Sarkar, Biswajit; Shin, Dongmin; Pal, Madhumangal.

In: SpringerPlus, Vol. 5, No. 1, 1979, 01.12.2016.

Research output: Contribution to journalArticle

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