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Verjetnostni algoritem za barvanje točk grafa : magistrska nalogaŽerovnik, JanezNaloga opisuje razvoj slučajnega hevrističnega algoritma za reševanje NP-polnega problema barvanja točk grafa. Osnovni algoritem povzamemo po preprintu Welsha in Petforda. Z uvodom v teorijo časovne ... zahtevnosti pojasnimo, zakaj je zanimivo iskati hevristični algoritem za NP-poln problem. Algoritem temelji na ideji oponašanja fizičnega procesa iz statistične mehanike. Opišemo modela, ki sta dala idejo algoritma in pokažemo nekaj lastnosti obravnavanih modelov. Zadnje poglavje je sinteza prejšnjih: problem,zanimiv zaradi NP-polnosti, poskusimo rešiti s posplošenim modelom, ki v poenostavljenih pogojih daje upanje, da se bo dobro obnašal tudi na splošnem problemu. Na koncu navajamo rezultate poskusov, ki potrjujejo, da skonstruirani hevristični algoritem ni slab.Type of material - master's thesisPublication and manufacture - Ljubljana : [J. Žerovnik], 1988Language - slovenianCOBISS.SI-ID - 3663449
Author
Žerovnik, Janez
Other authors
Pisanski, Tomaž
Topics
teorija grafov |
barvanje grafov |
verjetnostni algoritem |
NP-polnost |
volilni model |
protivolilni model |
statistična mehanika |
coloring |
graph coloring |
heuristic algorithm |
probabilistic algorithm |
NP-completness |
voter model |
antivoter model |
statistical mechanics
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Database name | Field | Year |
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Žerovnik, Janez | 03430 |
Pisanski, Tomaž | 01941 |
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