SeedGNN: Graph Neural Networks for Supervised Seeded Graph Matching

There have been significant interests in designing Graph Neural Networks (GNNs) for seeded graph matching, which aims to match two (unlabeled) graphs using only topological information and a small set of seeds. However, most previous GNNs for seeded graph matching employ a semi-supervised approach, which requires a large number of seeds and can not learn knowledge transferable to unseen graphs. In contrast, this paper proposes a new supervised approach that can learn from a training set how to match unseen graphs with only a few seeds. At the core of our SeedGNN architecture are two novel modules: 1) a convolution module that can easily learn the capability of counting and using witnesses of different hops; 2) a percolation module that can use easily-matched pairs as new seeds to percolate and match other nodes. We evaluate SeedGNN on both synthetic and real graphs, and demonstrate significant performance improvement over both non-learning and learning algorithms in the existing literature. Further, our experiments confirm that the knowledge learned by SeedGNN from training graphs can be generalized to test graphs with different sizes and categories.