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Complex Valued Graphs For Soft Computing

W. B. Vasantha Kandasamy, Florentin Smarandache

Abstract

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. The authors also give some applications of them in soft computing and social networks. 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. Further it is pertinent to record in real world problems the values or impulse or synaptic relations can be imaginary or indeterminate or both. These situations can be studied using complex valued graphs or strong complex valued graphs or neutrosophic complex valued graphs.

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