Evaluating the Stability and Resilience of Ecosystems through the Structural Analysis of Fuzzy Super Subdivided Graphs

Abstract

This paper investigates the structural properties of fuzzy, super-subdivided graphs and their role in ecosystem stability and resilience analysis. We introduce edge connectivity concepts, vertex and edge degree classifications, and subgraph structures in fuzzy super subdivided graphs. The study examines the interrelations between these properties and presents theoretical insights through formal definitions, theorems, and illustrations. Using a fuzzy super-subdivision model, we analyse the stability and resilience of the ecosystem by modelling complex ecological interactions. The results demonstrate that the fuzzy super-subdivision graph provides a mathematical framework to assess ecosystem responses to disturbances and maintain ecological balance.