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Teorija grafov. Del 1, Razvrščanje v skupine - teorija in algoritmi
Batagelj, Vladimir
V nalogi je problem razvrščanja v skupine obravnavan kot optimizacijski problem nad množico dopustnih razvrstitev. Zaradi NP-težkosti uporabljamo običajno za reševanje problemov razvrščanja približne ...(hevristične) postopke. Izmed metod za reševanje problema razvrščanja sta podrobneje razdelana metoda oblakov in metoda (hierarhičnega) združevanja. Pokazano je, da lahko Wardov in sorodne postopke združevanja, ki temelje na Lance-Williams-Jambujevem obrazcu, uporabljamo za poljubno različnost in ne samo za kvadrat evklidske razdalje. Narejeni so prvi koraki k odgovorom na vprašanje: ali je dobljena razvrstitev globalno optimalna? Izpopolnjen je splošni pristop k reševanju rekurzivne enačbe, ki jo dobimo pri analizi postopkov osnovanih na načelu "deli in vladaj".
Type of material - research report
Publication and manufacture - Ljubljana : Inštitut za matematiko, fiziko in mehaniko, 1985
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