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In this study, the concept of picture fuzzy competition graph along with its two subclasses such as picture fuzzy k -competition graphs and p -competition picture fuzzy graphs are introduced.… Click to show full abstract
In this study, the concept of picture fuzzy competition graph along with its two subclasses such as picture fuzzy k -competition graphs and p -competition picture fuzzy graphs are introduced. Picture fuzzy competition graph is one of the generalization of competition graph. Several properties of picture fuzzy competition graphs have been investigated. Some new types of picture fuzzy graphs have been introduced like picture fuzzy open neighborhood graph and picture fuzzy closed neighborhood graph. In addition, the relationship between picture fuzzy k -competition graph and picture fuzzy k -neighborhood graph are established. An application of picture fuzzy competition graph in medical science is presented.
Journal Title: Computational and Applied Mathematics
Year Published: 2020
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