Applying Cech rough closure theory to binary hypercube graphs

The present study examines hypercube graphs through the lens of Čech rough closure theory (ČRCT). Leveraging the binary representation and inherent symmetry of hypercubes, we introduce a closure-based approach for modelling uncertainty and vagueness in discrete spaces. Our method constructs set approximations from vertex adjacency, offering a systematic way to examine neighbourhood configurations. To illustrate the applicability of this framework, we present examples on low-dimensional hypercubes. The findings highlight how rough closure concepts can enrich graph-theoretic analysis and provide flexible tools for developing models in discrete mathematics.