Structural Analysis of Cognitive Domains in Public Security Through a Voronoi Diagram and Eigenvector Centrality-Based Model

This study argues that public security today is shaped not only by physical threats but also by perception, trust, and sense-making processes that emerge within cognitive domains. With the rise of digitalization and the network society, information ecosystems have become fragmented, the ground of shared reality has weakened, and this has intensified risks such as social polarization, institutional distrust, radicalization, and societal violence. To analyze cognitive security risks, the study proposes an original model that combines the proximity-based spatial logic of Voronoi diagrams with the relational power analysis of eigenvector centrality. The model shows that small but structurally central actors can generate disproportionate influence, and that security risks should be assessed through structural centrality rather than visibility. Ultimately, the study recommends a public security approach that strengthens cognitive domain resilience and is grounded in legitimacy, transparency, and social trust, instead of intervention-centered policies.