On Restrained Neutrosophic Domination Number on Special Graphs

Authors

  • R Shanmugapriya Department of Physical Sciences & Mathematics, St. Francis de Sales College (Autonomous), Bengaluru;
  • Hemalatha N C Department of Mathematics, The Oxford College of Engineering, Bengaluru;

Keywords:

Neutrosophic graphs, Neutrosophic domination graphs, Restrained domination, Restrained Neutrosophic domination graphs, Special graphs.

Abstract

Neutrosophic theory, which generalizes fuzzy and classical logic by combining the 
notions of truth, indeterminacy, and falsity, has emerged as a powerful framework in modeling 
uncertainty. In this paper, we initiate and investigate the study of restrained neutrosophic 
domination number in graphs, also we study its properties across special graph classes such as paths, 
cycles, stars, and complete graphs. We also establish upper and lower bounds to determine such sets 
in graphs and aim to define neutrosophic algebraic structures and examine their properties in depth.

 

DOI: 10.5281/zenodo.17096073

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Published

2026-02-25

Issue

Vol. 96 (2026): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2025 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

R Shanmugapriya, & Hemalatha N C. (2026). On Restrained Neutrosophic Domination Number on Special Graphs. Neutrosophic Sets and Systems, 96, 69-76. https://fs.unm.edu/nss8/index.php/111/article/view/7256