Total Domination in Uniform Single Valued Neutrosophic Graph

Abstract

 In graph theory, the neutrosophic graph is a new extension of the intuitionistic fuzzy graph and
 fuzzy graph. It offers greater accuracy and flexibility in scheduling and implementing numerous real-life issues.
 The introduction of neutrosophic graphs has opened up an excellent opportunity to portray real-world situations
 with incomplete and ambiguous information. These neutrosophic graph models are used in many industrial
 and scientific domains to simulate various problems. This article offers a new approach for calculating the
 total dominating set of a given single-valued neutrosophic graph using neutrosophic strong arcs. An example
 is illustrated for calculating the total dominating sets of single-valued neutrosophic graphs. Moreover, certain
 observations related to uniform single-valued neutrosophic graphs are covered and we also suggest an application
 of a total dominating set in single-valued neutrosophic graphs in the real world.

DOI: 10.5281/zenodo.13175758