Treffer: Architecting Resilient Communal Habitats: A Treatise on the Application of Wheel Graphs to Security Optimization with Codes.

Secure housing is a fundamental pillar of stable and thriving communities. It encompasses the provision of safe and reliable shelter, where individuals and families can live without fear of harm, theft, or intrusion. Security plan of a housing society can be constructed in many ways. In this article, authors have discovered a plan to strengthen security of a housing society by using face irregularity strength on wheel graphs which contains vertices, edges and faces. The vertices will act like houses, edges will be connections between houses and faces will represent the area among the houses. Mathematically, this research includes irregularity strength of face, vertex-face, edge-face and vertex-edge-face under Υ−labelling of class (σ, φ, ψ). An algorithm is established which will lead to the real life security of housing society. [ABSTRACT FROM AUTHOR]

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