A Hierarchical Hypergraph and Superhypergraph Framework forSemantic and Behavioral Graphs in Psychology and the Social Sciences

Abstract

Graph theory—modeling entities as vertices and their relationships as edges—has been applied across
domains from anatomical networks (e.g. teeth) to social systems [1, 2]. In psychology and the social
sciences, Behavior Graphs capture temporal sequences of actions or states, while Semantic Graphs
represent conceptual associations underlying memory and cognition. Here, we extend both models using
HyperGraphs and SuperHyperGraphs to create hierarchical, multi-scale representations. This framework
enables nested modeling of cognitive and behavioral structures, offering a versatile approach for analyzing
complex phenomena in psychological and social research