Description: A quasi-regular network is a structure within graph theory where nodes exhibit degrees that are similar, though not identical. This means that, in a quasi-regular network, most nodes have a number of connections (or edges) that cluster within a narrow range, allowing for some homogeneity in the network’s connectivity. Unlike regular networks, where all nodes have the same degree, quasi-regular networks permit minor variations, which can reflect more realistic situations in various systems. This characteristic of having similar degrees can influence the dynamics of the network, affecting aspects such as resilience, information diffusion, and overall connectivity. Quasi-regular networks are important in the study of complex phenomena, as they allow for modeling interactions in systems where uniformity is not strict, but where similarities in connectivity can significantly impact the network’s global behavior. Their analysis can provide valuable insights into how influences propagate and how relationships are structured in various contexts, from social networks to biological systems.
