title: Completeness and regularity of generalized fuzzy graphs.
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.
authors.affiliation: Department of Industrial and Management Engineering, Hanyang University, Ansan, Gyeonggi 15588 South Korea.
authors.forename: Sovan
authors.initials: S
authors.lastname: Samanta
authors.affiliation: Department of Industrial and Management Engineering, Hanyang University, Ansan, Gyeonggi 15588 South Korea.
authors.forename: Biswajit
authors.initials: B
authors.lastname: Sarkar
authors.affiliation: Department of Industrial and Management Engineering, Hanyang University, Ansan, Gyeonggi 15588 South Korea.
authors.forename: Dongmin
authors.initials: D
authors.lastname: Shin
authors.affiliation: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721 102 India.
authors.forename: Madhumangal
authors.initials: M
authors.lastname: Pal
keywords: Complete graphs; Effective edge; Generalized fuzzy graphs; Matrix; Regular graphs