Abstract
In this paper, we introduced a new concept of a single-valued neutrosophic graph (SVNG) known as a constant single-valued neutrosophic graph (CSVNG). Basically, SVNG is a generalization of intuitionistic fuzzy graph (IFG). More specifically, we described and explored some graph-theoretic ideas related to the introduced concepts of CSVNG. An application of CSVNG in a Wi-Fi network system is discussed and a comparison of CSVNG with constant IFG is established showing the worth of the proposed work. Further, several terms like constant function and totally constant function are investigated in the framework of CSVNG and their characteristics are studied.
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