Actor Hypernetworks and Urban Road Hypernetworks

Graph theory has been widely applied across diverse scientific domains [1, 2]. Hypergraphs extend classical graphs by allowing hyperedges to connect arbitrary subsets of vertices, while superhypergraphs further enrich this structure through iterated powersets that capture hierarchical and self-referential relationships [3, 4]. An actor network links heterogeneous actants—humans, artifacts, texts, and rules—through directed associations, emphasizing relational materiality and performative agency [5,6]. An urban road network is a directed, weighted graph of intersections and road segments, modeling connectivity, capacities, 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.