Total Domination in Uniform Single Valued Neutrosophic Graph

T.P. Sreelakshmi; K. Uma Samundesvari

Authors

T.P. Sreelakshmi Noorul Islam Centre for Higher Education, Kumaracoil, Tamil Nadu, India
K. Uma Samundesvari Noorul Islam Centre for Higher Education, Kumaracoil, Tamil Nadu, India

Keywords:

Domination; Total domination; Single-valued neutrosophic graphs; Neutrosophic strong arcs.

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