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Empirično ovrednotenje reševalnikov za podgrafni izomorfizem
ID Volk, Jana (Author), ID Čibej, Uroš (Mentor) More about this mentor... This link opens in a new window

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Abstract
Problem podgrafnega izomorfizma je NP-poln in se pojavlja v bioinformatiki, analizi omrežij ter računalniškem vidu. V nalogi smo empirično ovrednotili pet reševalnikov induciranega podgrafnega izomorfizma: RI, VF3, PathLAD, SICS in Glasgow Subgraph Solver. Testiranje je bilo izvedeno na sintetičnih grafih (minimalna vpeta drevesa, scale-free omrežja in Erdős–Rényijevi grafi), realnih omrežjih iz zbirke SNAP ter instancah brez ujemanja. Rezultati kažejo, da se učinkovitost reševalnikov razlikuje glede na strukturo grafov in velikost vzorca: Glasgow je najboljši pri manjših in srednje velikih primerih, RI pri večjih, PathLAD pri gostih grafih, SICS pri realnih in scale-free omrežjih, VF3 pa pri redkih drevesnih strukturah. Naloga prispeva primerjalno analizo, ki raziskovalcem ponuja smernice za izbiro ustreznega reševalnika.

Language:Slovenian
Keywords:podgrafni izomorfizem, NP-polni problemi, reševalniki, analiza algoritmov, grafi
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FRI - Faculty of Computer and Information Science
Year:2025
PID:20.500.12556/RUL-171860 This link opens in a new window
COBISS.SI-ID:248581635 This link opens in a new window
Publication date in RUL:03.09.2025
Views:434
Downloads:134
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Secondary language

Language:English
Title:Empirical evaluation of subgraph isomorphism solvers
Abstract:
The subgraph isomorphism problem is NP-complete and has applications in bioinformatics, network analysis, and computer vision. This thesis presents an empirical evaluation of five solvers for the induced subgraph isomorphism problem: RI, VF3, PathLAD, SICS, and the Glasgow Subgraph Solver. We tested them on synthetic graphs (minimum spanning trees, scale-free networks, and Erdős–Rényi graphs), real networks from the SNAP collection, and non-matching instances. The evaluation focused on runtime and memory usage. Results indicate that solver performance depends strongly on graph structure and pattern size: Glasgow excels on small and medium cases, RI on larger instances, PathLAD on dense graphs, SICS on real and scale-free networks, while VF3 is most effective on sparse tree-like structures. The thesis contributes a comparative analysis to guide the selection of suitable solvers for specific scenarios.

Keywords:subgraph isomorphism, NP-complete problems, graph solvers, algorithm analysis, graphs

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