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Title:A distribution-based framework for network similarity assessment
Authors:ID Dehmer, Matthias (Author)
ID Redžepović, Izudin (Author)
ID Tratnik, Niko (Author)
ID Žigert Pleteršek, Petra (Author)
Files:.pdf RAZ_Dehmer_Matthias_2026.pdf (3,24 MB)
MD5: 4F87C02A01365EB03ACE62121FF9038B
 
URL https://doi.org/10.1016/j.amc.2026.130179
 
Language:English
Work type:Scientific work
Typology:1.01 - Original Scientific Article
Organization:FNM - Faculty of Natural Sciences and Mathematics
FKKT - Faculty of Chemistry and Chemical Engineering
Abstract:Assessing structural similarity between complex systems represented as networks is a fundamental challenge across many disciplines. Existing methods range from exact graph matching to inexact approaches such as graph edit distance, graph kernels, and topological index-based comparisons. In this work, we introduce a new distribution-based framework for network comparison. Each net work is represented by its degree and distance distributions, which capture key structural features in probabilistic form. These distributions are compared using the Jensen-Shannon and Hellinger distance metrics. We further combine the degree- and distance-based dissimilarity measures into a unified similarity measure that captures complementary aspects of network structures. More over, we analyze its behavior on structured network families and demonstrate its applicability to both random and real-world networks, including molecular similarity assessment.
Keywords:network similarity measure, degree distribution, distance distribution, Jensen-Shannon divergence, random network models, molecular structural similarity
Publication status:Published
Publication version:Version of Record
Article acceptance date:22.05.2026
Publication date:02.06.2026
Place of publishing:New York
Publisher:Elsevier
Year of publishing:2026
Number of pages:11 str.
Numbering:Letn. 531, št. članka 130179
PID:20.500.12556/DKUM-99334 New window
UDC:519.17
ISSN on article:0096-3003
COBISS.SI-ID:287591939 New window
DOI:10.1016/j.amc.2026.130179 New window
Publication date in DKUM:02.09.2026
Views:248
Downloads:0
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Record is a part of a journal

Title:Applied mathematics and computation
Shortened title:Appl. math. comput.
Publisher:Elsevier
ISSN:0096-3003
COBISS.SI-ID:24983808 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0297-2022
Name:Teorija grafov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J1-70016
Name:Sodobne topološke mere za molekulske grafe in omrežja

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0285-2023
Name:Metrični problemi v grafih in hipergrafih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J7-50226-2024
Name:Analitska orodja nove generacije za dediščinsko znanost

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.
Licensing start date:02.06.2026

Secondary language

Language:Slovenian
Keywords:analiza omrežij, primerjava omrežij, strukturna podobnost, porazdelitev stopenj, Jensen-Shannonova razdalja, molekularna strukturna podobnost


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