Temporal Graph Functional Dependencies -- Technical Report

We propose a class of functional dependencies for temporal graphs, called TGFDs. TGFDs capture both attribute-value dependencies and topological structures of entities over a valid period of time in a temporal graph. It subsumes graph functional dependencies (\gfds) and conditional functional dependencies (CFDs) as a special case. We study the foundations of TGFDs including satisfiability, implication and validation. We show that the satisfiability and validation problems are coNP-complete and the implication problem is NP-complete. We also present an axiomatization of TGFDs and provide the proof of the soundness and completeness of the axiomatization.