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Title:Enhancing graph summarization using node importance and graph attention networks
Authors:ID Rizman Žalik, Krista (Author)
ID Mongus, Domen (Author)
ID Žalik, Mitja (Author)
Files:.pdf mathematics-14-01283-v2.pdf (1,14 MB)
MD5: BE97B8DB34AC287AD3724A873D4D286B
 
URL https://www.mdpi.com/2227-7390/14/8/1283
 
URL https://doi.org/10.3390/math14081283
 
Language:English
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FERI - Faculty of Electrical Engineering and Computer Science
Abstract:As the scale of graph-structured data continues to grow, graph summarization has become an important technique for storage efficiency and high-level visualization. This study investigates a Node Importance (NI) approach to graph summarization that prioritizes structural integrity over simple size reduction. The NI approach selects super nodes by ranking vertices through centrality and propagation metrics. Experimental results demonstrate that the proposed NI method achieves compression rates comparable to or slightly lower than traditional Minimum Description Length (MDL) methods across various datasets while maintaining structural integrity. However, today, the high dimensionality and complexity of modern graph data are making deep learning techniques more popular. Great progress in deep learning summarization techniques is achieved with Graph Neural Networks (GNNs). This study investigates the structure and suitability of different GNN architectures for graph summarization using the NI approach. Graph Attention Networks (GATs) and their variants are discussed as a flexible, learned notion of node importance via attention. We present an examination of GATs, covering both diverse approaches and improvements. This study also discusses extensions that enhance the concept of node importance established by the GAT model, GAT variants for node importance estimation, and application-specific GAT research.
Keywords:graph summarization, node importance, graph neural networks, graph attention networks
Publication status:Published
Publication version:Version of Record
Submitted for review:02.03.2026
Article acceptance date:10.04.2026
Publication date:12.04.2026
Publisher:MDPI
Year of publishing:2026
Number of pages:20 str.
Numbering:Vol. 14, no. 8, [article no.] 1283
PID:20.500.12556/DKUM-97840 New window
UDC:004.8:004.62:519.17
ISSN on article:2227-7390
COBISS.SI-ID:275632131 New window
DOI:10.3390/math14081283 New window
Publication date in DKUM:08.05.2026
Views:157
Downloads:1
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Mathematics
Shortened title:Mathematics
Publisher:MDPI AG
ISSN:2227-7390
COBISS.SI-ID:523267865 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0041-2020
Name:Računalniški sistemi, metodologije in inteligentne storitve

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:povzemanje grafov, pomembnost vozlišč, grafovske nevronske mreže, mreže pozornosti grafov


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