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Cayley Bipolar Fuzzy Graphs [PDF]
The Scientific World Journal, 2013 We introduce the concept of Cayley bipolar fuzzy graphs and investigate some of their properties. We present some interesting properties of bipolar fuzzy graphs in terms of algebraic structures.
Noura O. Alshehri, Muhammad Akram
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Bipolar Picture Fuzzy Graphs with Application [PDF]
Symmetry, 2021 In this manuscript, we introduce and discuss the term bipolar picture fuzzy graphs along with some of its fundamental characteristics and applications. We also initiate the concepts of complete bipolar picture fuzzy graphs and strong bipolar picture fuzzy graphs.
Waheed Khan, Khan Waheed Ahmad
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Properties of the forgotten index in bipolar fuzzy graphs and applications [PDF]
Scientific ReportsTopological indices are the numbers that remain constant under graph automorphism. Topological indices describe a network’s connectivity, structure, and topological characteristics. These indices have many applications in crisp graphs.
Shaikh Ibrahim Abdullah +5 more
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A study of competitions in different fields through graphs under bipolar picture fuzzy environment. [PDF]
PLoS ONERecent developments in the theory of fuzzy graphs have led to many extensions for modeling real-world problems involving uncertainty. Among these, competition graphs are crucial for representing competitive and ecological systems.
Waheed Ahmad Khan +4 more
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Bipolar fuzzy outerplanar graphs approach in image shrinking [PDF]
Scientific ReportsBipolar fuzzy outerplanar graphs are interesting and significant subclasses within the broader field of fuzzy graph theory. In this paper, bipolar fuzzy outerplanar graphs, and its properties are introduced.
Deivanai Jaisankar +3 more
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Interval-valued bipolar fuzzy line graphs [PDF]
BMC Research Notes, 2023 Objectives The notion of Bipolarity based on positive and negative outcomes. It is well known that bipolar models give more precision, flexibility, and compatibility to the system as compared to the classical models and fuzzy models.
Keneni Abera Tola +2 more
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Applications of maximum matching by using bipolar fuzzy incidence graphs. [PDF]
PLoS ONE, 2023 The extension of bipolar fuzzy graph is bipolar fuzzy incidence graph (BFIG) which gives the information regarding the effect of vertices on the edges. In this paper, the concept of matching in bipartite BFIG and also for BFIG is introduced. Some results
Fahad Ur Rehman +2 more
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Fuzzy graph based machine learning optimization for permeable pavement systems in smart cities of Thoothukudi [PDF]
Scientific ReportsFrequent hydrometeorological variations have increased the frequency of flooding, posing major risks to infrastructure and public safety. Fuzzy graph theory relies on fundamental concepts such as synchronising and graph domination problems, which have ...
Angel Benjamin, Angel Dharmakkan
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Bipolar Fuzzy Graphs with Categorical Properties [PDF]
International Journal of Computational Intelligence Systems, 2015 Theoretical concepts of graphs are highly utilized by computer science applications. Especially in research areas of computer science such as data mining, image segmentation, clustering, image capturing and networking.
Hossein Rashmanlou +3 more
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Solution of road network problem with the help of m-polar fuzzy graph using isometric and antipodal concept [PDF]
Scientific Reports, 2023 The isometry in crisp graph theory is a well-known fact. But, isometry under a fuzzy environment was developed recently and studied many facts. In a m-polar fuzzy graph, we have to think m components for each node and edge.
Uttam Mondal +3 more
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