combinatorial topology of interactions

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• Geometry of Interactionconcept0.783
  Dynamic model connecting logic to geometry through explicit treatment of information flow and interaction; demonstrates emergent logical complexity from simple copy-cat processes.
• Combinatorial Unfoldingconcept0.768
  The process by which patterns are used sequentially in design, combining and recombining to generate living centers
• hierarchical interactionsconcept0.757
  Effective interactions between subgraphs, enabling local order amid global disorder; characteristic of biological multiscale systems
• topology of the graphconcept0.756
  Graph structure constraining local interactions and ordering
• Hierarchical structure in interaction topology enables complex multiscale patterns that cannot exist in flat networks.claim0.753
  Explains why biological systems achieve organization across scales while language models struggle; grounds in free energy scaling
• Interaction Clusterconcept0.750
• Systems on vertices of planar graphs with pairwise edge interactionsframework0.748
  General model framework for locally-interacting systems; topological properties determine phase behavior.
• Topology is the critical factor differentiating the self-organising capabilities of biological systems and language models.claim0.736
  Central interpretive claim of the paper: the ability to maintain long-range order is determined by interaction topology, not substrate.