An assessment of hierarchicalness in renormalizable network models

In order to clarify the relationship between renormalizable network models and hierarchicalness, we elaborate on a recent binary fitness-based renormalizable network model and evaluate how it can cope with hierarchicalness, that was characterized in several ways in the literature, and remains an elusive concept. To do so a benchmark hierarchical network is fit to a renormalizable network recently proposed. We report thaht under specific conditions the latter can accomodate hierarchicalness, examine various extensions, and discuss future applications to real hierarchical networks