Actor Hypernetworks and Urban Road Hypernetworks withReal-life Applications

Abstract

Hypergraphs extend classical graphs by allowing hyperedges to connect arbitrary subsets of ver-
tices, while superhypergraphs further enrich this structure through iterated powersets that capture hierarchical
and self-referential relationships. An actor network links heterogeneous actants—humans, artifacts, texts, and
rules—through directed associations, emphasizing relational materiality and performative agency. An urban
road network is a directed, weighted graph of intersections and road segments, modeling connectivity, capac-
ities, and travel dynamics. In this paper, we extend actor networks and urban road networks by employing
HyperGraphs and SuperHyperGraphs. These extensions are expected to provide clearer and more expressive
representations of hierarchical structures in real-world actor networks and urban road networks.