Macroscopic properties of polymer networks are closely linked to their microstructure, which refers to the detailed arrangement of the constituent elements at a microscale, with the network topology being a crucial parameter. Nevertheless, the insolubility of chemically cross-linked polymers makes the experimental characterization challenging, hindering accurate prediction of polymer networks behavior, particularly in systems with multiple connectivity and functional groups. Additionally, several statistical theories have been developed to correlate the network topology and viscoelastic properties. While these models effectively determine average macroscopic properties in many cases, they often assume an ideal network formation and largely overlook the network defects, including various loop orders and free or dangling chains. These defects deteriorate mechanical performance and affect material's durability by lowering the overall elasticity of the network.