Abstract

Neutrosophic set (NS) theory has a diverse nature in dealing with impreciseness of real life events and has a wider range of applications in logic, algebra, topology, operation research, pattern recognition, artificial intelligence, robotics, neural networks and several other fields. After the initiation of NS theory, some quality research has been done in this field and as a result a new dimension in graph theory is evolved known as neutrosophic graph (NG) theory (combination of graph theory and NS theory). The aim of this chapter is to highlight the recent developments in the field of NG theory and their generalizations including neutrosophic hypergraph, interval NGs, bipolar NGs etc. Almost all the work based on the development of NGs and their applications have been discussed thoroughly.

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