Papers › Subgraph Networks with Application to Structural Feature Space Expansion

Subgraph Networks with Application to Structural Feature Space Expansion

21 Mar 2019arXiv:1903.09022archive 2025-07-28

Qi Xuan, Jinhuan Wang, Minghao Zhao, Junkun Yuan, Chenbo Fu, Zhongyuan Ruan, Guanrong Chen

Real-world networks exhibit prominent hierarchical and modular structures, with various subgraphs as building blocks. Most existing studies simply consider distinct subgraphs as motifs and use only their numbers to characterize the underlying network. Although such statistics can be used to describe a network model, or even to design some network algorithms, the role of subgraphs in such applications can be further explored so as to improve the results. In this paper, the concept of subgraph network (SGN) is introduced and then applied to network models, with algorithms designed for constructing the 1st-order and 2nd-order SGNs, which can be easily extended to build higher-order ones. Furthermore, these SGNs are used to expand the structural feature space of the underlying network, beneficial for network classification. Numerical experiments demonstrate that the network classification model based on the structural features of the original network together with the 1st-order and 2nd-order SGNs always performs the best as compared to the models based only on one or two of such networks. In other words, the structural features of SGNs can complement that of the original network for better network classification, regardless of the feature extraction method used, such as the handcrafted, network embedding and kernel-based methods.

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Tasks

General ClassificationGraph ClassificationNetwork Embedding

Results from the paper archive 2025-07-28

TaskDatasetModelMetricValueRank at snapshotLeaderboardReport
Graph Classification IMDb-B Deep WL SGN(0,1,2) Accuracy 75.70% #20 of 51 Archive leaderboard report
Graph Classification MUTAG Deep WL SGN(0,1,2) Accuracy 93.68% #10 of 74 Archive leaderboard report
Graph Classification NCI1 Deep WL SGN(0,1,2) Accuracy 70.26% #62 of 69 Archive leaderboard report
Graph Classification NCI109 Deep WL SGN(0,1,2) Accuracy 71.06 #34 of 38 Archive leaderboard report
Graph Classification PROTEINS Deep WL SGN(0,1,2) Accuracy 76.78% #40 of 103 Archive leaderboard report
Graph Classification PTC Deep WL SGN(0,1,2) Accuracy 65.88% #21 of 37 Archive leaderboard report

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