Neutrosophic Sets and Systems
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.
Recommended Citation
Sreelakshmi, T. P. and K. Uma Samundesvari. "Total Domination in Uniform Single Valued Neutrosophic Graph." Neutrosophic Sets and Systems 70, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol70/iss1/18
