A Passive Clustering-Based Approach for Important Node Mining in Multi-Relational Networks
DOI:
https://doi.org/10.15837/ijccc.2026.2.7108Keywords:
Multi-relational networks, centrality measures, important node identification, passive clustering, entity nodesAbstract
The identification of key nodes within multi-relational networks presents significant challenges due to the heterogeneity of node attributes and the varying significance of different attributes across distinct relationships. Conventional methods often fail to effectively capture these complexities, leading to suboptimal mining outcomes. To address this issue, a passive clustering-based approach is introduced to enhance the identification of important nodes in multi-relational networks. By constructing an adjacency matrix framework, the network structure is systematically represented, encapsulating the connectivity relationships among nodes. The comprehensive centrality of entity nodes is then evaluated to preliminarily select candidates with substantial network influence. Subsequently, a passive clustering algorithm is applied to categorize nodes into clusters based on attribute similarities, enabling a refined analysis within each cluster. The principle of node centrality metrics is further adapted to assess node importance within and across clusters, thereby mitigating the impact of attribute heterogeneity. Nodes exhibiting weak intra-cluster associations are eliminated, ensuring the robustness of the clustering process. The proposed method demonstrates superior efficiency and scalability, requiring a memory footprint below 160 KB. Furthermore, the computational efficiency of node degree centrality, median centrality, and proximity centrality is improved, with relative computational time ratios of 14.2%, 8.9%, and 8.6%, respectively. These results indicate that the proposed approach effectively captures complex dynamic interactions within undirected and unprivileged multi-relational networks, offering a scalable and computationally efficient solution for important node mining.
References
Y. Yue, G. Wang, J. Hu, and Y. Li, "An improved label propagation algorithm based on community core node and label importance for community detection in sparse network," Applied Intelligence, vol. 53, no. 14, pp. 17 935-17 951, 2023. https://doi.org/10.1007/s10489-022-04397-0
L. Zhang, S. Wang, J. Liu, X. Chang, Q. Lin, Y. Wu, and Q. Zheng, "Mul-grn: Multi-level graph relation network for few-shot node classification," IEEE Transactions on Knowledge and Data Engineering, vol. 35, no. 6, pp. 6085-6098, 2022. https://doi.org/10.1109/TKDE.2022.3176880
Y. Guo, "Towards the efficient generation of variant design in product development networks: network nodes importance based product configuration evaluation approach," Journal of Intelligent Manufacturing, vol. 34, no. 2, pp. 615-631, 2023. https://doi.org/10.1007/s10845-021-01813-z
Y. Jiang, "A study of trust mining algorithms for beacon nodes in large-scale network environments," PeerJ Computer Science, vol. 11, p. e2755, 2025. https://doi.org/10.7717/peerj-cs.2755
C. Song, X. Zhang, X. Liu, D. Ren, and M. Dong, "Key node mining algorithm for directed weighted air quality network based on propagation characteristics," in Journal of Physics: Conference Series, vol. 1693, no. 1. IOP Publishing, 2020, p. 012066. https://doi.org/10.1088/1742-6596/1693/1/012066
T. H. Zhou, B. Jiang, Y. Lu, and L. Wang, "An adaptive seed node mining algorithm based on graph clustering to maximize the influence of social networks," in International Conference on Intelligent Computing. Springer, 2020, pp. 498-509. https://doi.org/10.1007/978-3-030-60796-8_43
B. Samya, B. Anantharam, L. Swathi, D. K. Sreeramamurthy, and M. V. Rao, "An intelligent distributed data mining framework for energy-efficient wsn using a hybrid heuristic-aided cascaded residual lstm," Peer-to-Peer Networking and Applications, vol. 18, no. 5, p. 252, 2025. https://doi.org/10.1007/s12083-025-02075-9
J. Chen, W. Wang, K. Yu, X. Hu, M. Cai, and M. Guizani, "Node connection strength matrixbased graph convolution network for traffic flow prediction," IEEE Transactions on Vehicular Technology, vol. 72, no. 9, pp. 12 063-12 074, 2023. https://doi.org/10.1109/TVT.2023.3265300
W. Fan, F. Xiao, M. Lv, L. Han, J. Wang, and X. He, "Node essentiality assessment and distributed collaborative virtual network embedding in datacenters," IEEE Transactions on Parallel and Distributed Systems, vol. 34, no. 4, pp. 1265-1280, 2023. https://doi.org/10.1109/TPDS.2023.3242952
B. Niu, S. Zhou, and H. Zhang, "Influential node identification of network based on agglomeration operation," International Journal of Foundations of Computer Science, vol. 35, no. 03, pp. 271- 295, 2024. https://doi.org/10.1142/S0129054123500028
J. R. Raja, J. G. Lee, D. Dhotre, P. Mane, O. S. Rajankar, A. Kalampakas, N. D. Jambhekar, and D. Bhalke, "Fuzzy graphs and their applications in finding the best route, dominant node and influence index in a network under the hesitant bipolar-valued fuzzy environment," Complex & Intelligent Systems, vol. 10, no. 4, pp. 5195-5211, 2024. https://doi.org/10.1007/s40747-024-01438-8
X. Wen, B. Si, M. Xu, F. Zhao, and R. Jiang, "A passenger flow spatial-temporal distribution model for a passenger transit hub considering node queuing," Transportation Research Part C: Emerging Technologies, vol. 163, p. 104640, 2024. https://doi.org/10.1016/j.trc.2024.104640
T. T. Huynh, C. T. Duong, T. T. Nguyen, V. T. Van, A. Sattar, H. Yin, and Q. V. H. Nguyen, "Network alignment with holistic embeddings," IEEE Transactions on Knowledge and Data Engineering, vol. 35, no. 2, pp. 1881-1894, 2021.
R. Taub and Y. Savir, "Saf: Smart aggregation framework for revealing atoms importance rank and improving prediction rates in drug discovery," Journal of Chemical Information and Modeling, vol. 64, no. 10, pp. 4021-4030, 2024. https://doi.org/10.1021/acs.jcim.4c00107
F. Bian, A. G. Yeh, and J. Zhang, "Percolating spatial scale effects on the landscape connectivity of urban greenspace network in beijing, china," Landscape and Ecological Engineering, vol. 20, no. 1, pp. 33-51, 2024. https://doi.org/10.1007/s11355-023-00578-2
G. J. Goodwin, C. E. Salva, J. Rodrigues, J. Maietta, H. C. Kuwabara, S. Ross, T. F. Kinsora, and D. N. Allen, "Characterizing the network structure of post-concussion symptoms," Archives of clinical neuropsychology, vol. 38, no. 5, pp. 690-698, 2023. https://doi.org/10.1093/arclin/acad001
Z. A. M. Shamki and F. Rabee, "Image mining technique using hadoop map reduce over distributed multi-node computers connections," Al-Salam Journal for Engineering and Technology, vol. 1, no. 2, pp. 18-24, 2022. https://doi.org/10.55145/ajest.2022.01.02.004
S. D. Mishra and D. Verma, "Energy-efficient and reliable clustering with optimized scheduling and routing for wireless sensor networks," Multimedia Tools and Applications, vol. 83, no. 26, pp. 68 107-68 133, 2024. https://doi.org/10.1007/s11042-024-18623-z
S. K. Gupta and D. P. Singh, "Seed community identification framework for community detection over social media," Arabian Journal for Science and Engineering, vol. 48, no. 2, pp. 1829-1843, 2023. https://doi.org/10.1007/s13369-022-07020-z
C. Gupta, L. Singh, and R. Tiwari, "Malicious node detection in vehicular ad-hoc network (vanet) using enhanced beacon trust management with clustering protocol (ebtm-cp)," Wireless Personal Communications, vol. 130, no. 1, pp. 321-346, 2023. https://doi.org/10.1007/s11277-023-10287-6
Z. Shou, M. Tang, H. Wen, J. Liu, J. Mo, and H. Zhang, "Key student nodes mining in the in-class social network based on combined weighted gra-topsis method," International Journal of Information and Communication Technology Education (IJICTE), vol. 19, no. 1, pp. 1-19, 2023. https://doi.org/10.4018/IJICTE.322773
S. Tripathi, O. J. Pandey, and R. M. Hegde, "Socially aware network clustering for throughput maximization in mobile wireless sensor networks," IEEE Transactions on Network and Service Management, vol. 21, no. 1, pp. 838-850, 2023. https://doi.org/10.1109/TNSM.2023.3294616
W. Zhang, J. Wang, G. Han, Y. Feng, and X. Tan, "A nonuniform clustering routing algorithm based on a virtual gravitational potential field in underwater acoustic sensor network," IEEE Internet of Things Journal, vol. 10, no. 15, pp. 13 814-13 825, 2023. https://doi.org/10.1109/JIOT.2023.3263174
G. Mahalakshmi, S. Ramalingam, and A. Manikandan, "An energy efficient data fault prediction based clustering and routing protocol using hybrid asso with mernn in wireless sensor network," Telecommunication Systems, vol. 86, no. 1, pp. 61-82, 2024. https://doi.org/10.1007/s11235-024-01109-6
T. Panse and P. Panse, "An efficient gateway node selection method for clustering in heterogeneous mobile ad-hoc networks," Wireless Personal Communications, vol. 135, no. 1, pp. 113-126, 2024. https://doi.org/10.1007/s11277-024-11031-4
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