Graph neural networks for graphs with heterophily: A survey

In general, most GNNs depend on the homophily assumption that nodes belonging to the same class are more likely to be connected. However, as a ubiquitous graph property in numerous real-world scenarios, heterophily, i.e., nodes with different labels tend to be linked, significantly limits the performance of tailor-made homophilic GNNs.

Hence, \textit{GNNs for heterophilic graphs} are gaining increasing attention in this community. To the best of our knowledge, in this paper, we provide a comprehensive review of GNNs for heterophilic graphs for the first time. Specifically, we propose a systematic taxonomy that essentially governs existing heterophilic GNN models, along with a general summary and detailed analysis.