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Paralelizacija algoritmov za reševanje problema podgrafnega izomorfizma
ID SAMOTORČAN, LEON (Author), ID Slivnik, Boštjan (Mentor) More about this mentor... This link opens in a new window, ID Čibej, Uroš (Co-mentor)

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Abstract
Pri analizi podatkov v obliki grafov je iskanje pojavitev manjšega grafa znotraj večjega eden pomembnejših problemov. Rečemo mu problem podgrafnega izomorfizma. V diplomskem delu se posvetimo različici problema, kjer iščemo število vseh induciranih podgrafnih izomorfizmov na neusmerjenih grafih. Opišemo tri sorodne algoritme za reševanje tega problema, ki jih implementiramo in nato paraleliziramo s pomočjo programskega vmesnik OpenMP. Pri paralelizaciji uporabimo pristop z dinamično delitvijo dela, kjer si niti izmenjujejo naloge preko skupne vrste nalog. Za izmenjavo nalog preizkusimo lastno implementacijo vrste in vgrajeno OpenMP-jevo rešitev. Uspešnost paralelizacije eksperimentalno ovrednotimo na dveh testnih množicah. Posvetimo se tudi vplivu granularnosti problema na čas izvajanja.

Language:Slovenian
Keywords:paralelizacija, podgrafni izomorfizem, OpenMP, granularnost
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FRI - Faculty of Computer and Information Science
FMF - Faculty of Mathematics and Physics
Year:2021
PID:20.500.12556/RUL-130398 This link opens in a new window
COBISS.SI-ID:78319363 This link opens in a new window
Publication date in RUL:14.09.2021
Views:1057
Downloads:112
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Secondary language

Language:English
Title:Parallelizing algorithms for solving subgraph isomorphism
Abstract:
In the analysis of graph data the search for an appearance of a smaller graph within a larger one is one of the more important problems. We call it the subgraph isomorphism problem. In this thesis we focus on a problem variant, where we search for the number of all induced subgraph isomorphisms on undirected graphs. We describe three related algorithms for solving this problem which we implement and then parallelize using an application programming interface called OpenMP. At parallelization we take on the approach of dynamic distribution of tasks where threads exchange tasks through a global queue. For task exchange we test our own implementation of the queue and the built-in OpenMP solution. Parallel algorithms are experimentally evaluated on two test sets. We also examine the impact of granularity on the execution time.

Keywords:parallelization, subgraph isomorphism, OpenMP, granularity

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