In this book authors for the first time introduce in a systematic way the notion of complex valued graphs, strong complex valued graphs and complex neutrosophic valued graphs. Several interesting properties are defined, described and developed. Most of the conjectures which are open in case of usual graphs continue to be open problems in case of both complex valued graphs and strong complex valued graphs. We also give some applications of them in soft computing and social networks. At this juncture it is pertinent to keep on record that Dr. Tohru Nitta was the pioneer to use complex valued graphs in neural networks in particular and soft computing in general. However in this book authors define and develop mathematical models using the complex valued directed graphs akin to Fuzzy Cognitive Maps model and Fuzzy Relational Maps models.
neutrosophic logic, graph theory, complex valued graph
W. B. Vasantha Kandasamy, Ilanthenral K, Florentin Smarandache. Complex Valued Graphs for Soft Computing. Brussels: EuropaNova ASBL, 2017.
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