Subgraph Isomorphism Meets Cutting Planes: Solving With Certified Solutions

Stephan Gocht, Ciaran McCreesh, Jakob Nordström

Abstract: Modern subgraph isomorphism solvers carry out sophisticated reasoning using graph invariants such as degree sequences and path counts. We show that all of this reasoning can be justified compactly using the cutting planes proofs studied in complexity theory. This allows us to extend a state of the art subgraph isomorphism enumeration solver with proof logging support, so that the solutions it outputs may be audited and verified for correctness and completeness by a simple third party tool which knows nothing about graph theory.