On the Homophily of Heterogeneous Graphs: Understanding and Unleashing (2501.14600v1)

Abstract: Homophily, the tendency of similar nodes to connect, is a fundamental phenomenon in network science and a critical factor in the performance of graph neural networks (GNNs). While existing studies primarily explore homophily in homogeneous graphs, where nodes share the same type, real-world networks are often more accurately modeled as heterogeneous graphs (HGs) with diverse node types and intricate cross-type interactions. This structural diversity complicates the analysis of homophily, as traditional homophily metrics fail to account for distinct label spaces across node types. To address this limitation, we introduce the Cross-Type Homophily Ratio, a novel metric that quantifies homophily based on the similarity of target information across different node types. Furthermore, we introduce Cross-Type Homophily-guided Heterogeneous Graph Pruning, a method designed to selectively remove low-homophily crosstype edges, thereby enhancing the Cross-Type Homophily Ratio and boosting the performance of heterogeneous graph neural networks (HGNNs). Extensive experiments on five real-world HG datasets validate the effectiveness of our approach, which delivers up to 13.36% average relative performance improvement for HGNNs, offering a fresh perspective on cross-type homophily in heterogeneous graph learning.