TY - JOUR
T1 - Completeness and regularity of generalized fuzzy graphs
AU - Samanta, Sovan
AU - Sarkar, Biswajit
AU - Shin, Dongmin
AU - Pal, Madhumangal
N1 - Publisher Copyright:
© 2016, The Author(s).
PY - 2016/12/1
Y1 - 2016/12/1
N2 - 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.
AB - 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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U2 - 10.1186/s40064-016-3558-6
DO - 10.1186/s40064-016-3558-6
M3 - Article
AN - SCOPUS:84995598400
SN - 2193-1801
VL - 5
JO - SpringerPlus
JF - SpringerPlus
IS - 1
M1 - 1979
ER -