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Takaaki Fujita

Publications (3)

Modeling Molecular Interactions with Hyper-Networks and Super-Hyper-networks

Takaaki Fujita, Muhammad Gulistan & Arkan A. Ghaib · Advances in Research · 2025

Graph theory examines the structure of networks by treating entities as vertices and the connections between them as edges. A Hyper-Graph enhances this framework by permitting a single Hyper-edge to link multiple vertices at once. Building on that idea, a Super-Hyper-Graph introd...

Open access Research Article 10.9734/air/2025/v26i41412

Toward a Unified Theory of Brain Hypergraphs and Symptom Hypernetworks in Medicine and Neuroscience

Takaaki Fujita & Arkan A. Ghaib · Advances in Research · 2025

Many biomedical systems exhibit interactions that go beyond simple pairwise connections. A hypergraph generalizes a graph by permitting an edge to connect any number of vertices—such edges are called hyperedges. A superhypergraph further extends this concept by recursively nestin...

Open access Research Article 10.9734/air/2025/v26i31368

Unifying Grain Boundary Networks and Crystal Graphs: A HyperGraph and SuperHyperGraph Perspective in Material Sciences

Takaaki Fujita · Asian Journal of Advanced Research and Reports · 2025

Graph theory provides a foundation for modeling relationships among discrete elements via vertices and edges (Diestel, 2000, 2005). HyperGraphs extend this framework by allowing edges—hyperedges—to join more than two vertices, while superhypergraphs introduce nested powerset laye...

Open access Research Article 10.9734/ajarr/2025/v19i51023