A Novel Approach for Neutrosophic Complete Graph and  Neutrosophic Excellent Domination

Murugan Raji; Ponnaiah Tharaniya; Surapati Pramanik; G. Ashwin Prabhu

Authors

Murugan Raji Department of Mathematics, Vels Institute of Science, Technology and Advanced Studies, Chennai, Tamilnadu, India;
Ponnaiah Tharaniya Department of Mathematics, Chennai Institute of Technology, Kunrathur, Chennai -600069, India;
Surapati Pramanik Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Narayanpur, Dist-North 24 Parganas, West Bengal, India-743126,
G. Ashwin Prabhu Department of Mechanical Engineering, St. Joseph's College of Engineering, Old Mahabalipuram Road, Chennai - 600119, Tamil Nadu, India, PIN- 600119,

Keywords:

Neutrosophic set; Neutrosophic graph, Complete graph; Neutrosophic Complete graph; Neutrosophic Excellent Dominating set; Dynamic Social Networks

Abstract

Social networks have a crucial role in forming contemporary society. The way they
operate and reach allow them to have a large-scale impact on beliefs, behaviours, and trust. These
days, they act as international forums for information sharing, opinion development, and public
debate. Each profession is impacted by them, including politics, business, healthcare, and education.
The demand for advanced systems to track, evaluate, and control their effects grows along with their
reach. Despite their apparent advantages, unregulated social media usage can result in the spread of
false information and conspiracy theories, toxicity and cyberbullying, manipulated trends and a
decline in public confidence in scientific and institutional organizations. Intelligent analysis and
Ongoing monitoring are now crucial for addressing these issues. However, Constant Smart
Monitoring is required due to their intricacy and vulnerability to abuse. This study explores the
variants, advantages and utilization of Neutrosophic Excellent Domination on Dynamic Social
Networks using Neutrosophic Complete graph.

DOI: 10.5281/zenodo.15871464