Mild Balanced Neutrosophic Graphs With Application

Kishore Kumar P.K; S. Sangeetha

Authors

Kishore Kumar P.K Professor, Department of Mathematics, Jerusalem College of Engineering, Chennai, India;
S. Sangeetha Assistant Professor, Department of Mathematics, Jerusalem College of Engineering, Chennai, India;

Keywords:

Mild balanced neutrosophic graphs, Balanced neutrosophic graphs, Mild Balanced Neutrosophic subgraphs.

Abstract

The framework of mild balanced neutrosophic graphs extends traditional uncertain graph models
by incorporating nuanced membership functions that capture truth, indeterminacy, and falsity simultaneously.
This multifaceted approach allows for more accurate representation and analysis of uncertain relationships in
complex systems. The theoretical foundations laid out through rigorous theorems and propositions provide a
robust base for modeling real-world scenarios where ambiguity and partial information are inherent. Moreover,
the application to medicinal interactions in diabetic patients demonstrates the potential of these graphs in
decision-making processes for optimizing drug combinations, thereby enhancing patient safety and therapeutic
outcomes. This study bridges mathematical theory with practical healthcare challenges, highlighting the ver
satility and applicability of neutrosophic graph models in interdisciplinary research

DOI 10.5281/zenodo.1766235