Hypergraphs: Facilitating High-Order Modeling of the Computing Continuum

As contemporary computing infrastructures evolve to include diverse architectures beyond traditional von Neumann models, the limitations of classical graph-based infrastructure and application modelling become apparent, particularly in the context of the computing continuum and its interactions with Internet of Things (IoT) applications. Hypergraphs prove instrumental in overcoming this obstacle by enabling the representation of computing resources and data sources irrespective of scale. This allows the identification of new relationships and hidden properties, supporting the creation of a federated, sustainable, cognitive computing continuum with shared intelligence. The paper introduces the HyperContinuum conceptual platform, which provides resource and applications management algorithms for distributed applications in conjunction with next-generation computing continuum infrastructures based on novel von Neumann computer architectures. The HyperContinuum platform outlines high-order hypergraph applications representation, sustainability optimization for von Neumann architectures, automated cognition through federated learning for IoT application execution, and adaptive computing continuum resources provisioning.