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Cubic Zirconia (CZ) has emerged as a critical material with diverse applications, ranging from high-performance ceramics to electronic devices. Designing CZ-based systems with improved functions necessitates a thorough understanding of its topological characteristics. The topological co-indices are numerical descriptors that offer important details about the local atomic configurations and connectivity inside the CZ lattice. In this study, we present a methodical approach to compute and assess the distribution of these co-indices throughout the CZ network using advanced computational approaches. The distribution patterns of topological co-indices inside the CZ network are significantly better understood as a result of our statistical investigation. The basic knowledge of the topological properties of the CZ network and how they relate to physical properties is improved by this study. Cubic Zirconia (CZ) has emerged as a critical material with diverse applications, ranging from high-performance ceramics to electronic devices. The outcomes revealed a relationship between the topological characteristics of the network and its mechanical, thermal, and electrical characteristics. [ABSTRACT FROM AUTHOR]