Application Of Graph Theory In The Success Of Managing Hospitals - A Critical Analysis

Abstract

Growth of hospitals is high in India.  The mushroom growth of hospitals is one of the major reasons for the requirement of effective hospital administration. This research explores the utilization of equivalence relations in graph theory to address pivotal issues in hospital management, specifically focusing on the lack of infrastructure facilities, the quality of medical practitioners, and the lack of paying capacity of patients. The study aims to identify these interrelated issues by modeling them as equivalence classes within a graph structure. By analyzing the relationships and influences among these classes, the research seeks to determine the most critical issues impacting hospital management. Furthermore, the study investigates strategies to reduce the gap between these management challenges and patient satisfaction. Employing graph analysis, the research prioritizes interventions that enhance patient care and operational efficiency. The findings contribute to a comprehensive understanding of how graph theory and equivalence relations can be effectively applied to improve hospital management practices and patient outcomes.