metagraph

• conceptual framework or structure

• that is used to describe relationships between graphs

• or to represent higher-level relationships within a single graph

• it’s essentially a graph of graphs, where each node in the metagraph

• could represent an entire graph or a complex substructure within a larger system

• aspects of a metagraph

  • modes represent graphs
    • in a metagraph, the nodes themselves can represent entire graphs or networks
    • this allows for modeling complex systems where each component is itself a complex structure

• edges represent relationships

  • the edges in a metagraph represent relationships between these component graphs
  • these relationships can be as simple as connections
  • or as complex as interactions involving multiple parameters or conditions

• hierarchical structure

  • metagraphs can represent hierarchical structures
  • where each level of the hierarchy represents a different level of abstraction or detail

• applications

  • machine learning
  • data science
  • network theory
  • computational biology

• used in situations where complex systems need to be modeled at multiple levels of abstraction

• provides a way to organize and model complex relationships by considering entire graphs

• as single entities and then analyzing the relationships between these entities