Papers › Improving Subgraph-GNNs via Edge-Level Ego-Network Encodings

Improving Subgraph-GNNs via Edge-Level Ego-Network Encodings

10 Dec 2023arXiv:2312.05905archive 2025-07-28

Nurudin Alvarez-Gonzalez, Andreas Kaltenbrunner, Vicenç Gómez

We present a novel edge-level ego-network encoding for learning on graphs that can boost Message Passing Graph Neural Networks (MP-GNNs) by providing additional node and edge features or extending message-passing formats. The proposed encoding is sufficient to distinguish Strongly Regular Graphs, a family of challenging 3-WL equivalent graphs. We show theoretically that such encoding is more expressive than node-based sub-graph MP-GNNs. In an empirical evaluation on four benchmarks with 10 graph datasets, our results match or improve previous baselines on expressivity, graph classification, graph regression, and proximity tasks -- while reducing memory usage by 18.1x in certain real-world settings.

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Graph ClassificationGraph Regression

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