Traditional network diffusion models primarily focus on direct connections, often overlooking the role of indirect pathways. Using the d-path Laplacian framework, this study quantifies indirect influence and reveals a structural phase transition associated with altered diffusion dynamics, providing new insights into network behavior and applications in information spreading, disease propagation, or transport dynamics across physical and biological systems.
- Lluís Torres-Hugas
- Jordi Duch
- Sergio Gómez
