Hypergraph: A generalization of a graph where an edge (hyperedge) can connect any number of vertices, not just two.
n-ary relation: A relationship that involves $n$ entities simultaneously (e.g., a meeting involving 3 specific people at 1 specific time).
Bipartite Graph: A graph with two distinct sets of nodes where edges only connect nodes from different sets; used here to store hyperedges and entities.
R-S (Retrieval Similarity): A metric assessing the semantic similarity between retrieved knowledge and ground-truth knowledge.
G-E (Generation Evaluation): A metric using an LLM-as-a-judge to evaluate generation quality across multiple dimensions like correctness and relevance.
Hyperedge: A connection in a hypergraph that links multiple entities together, representing a complete fact or event.
GraphRAG: A RAG approach that structures knowledge as a graph to capture relationships between entities.
StandardRAG: Traditional RAG that retrieves fixed-length text chunks based on vector similarity.