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13.
Pasovnost grafa in semidefinitno programiranje
Povh, Janez, 1973-
V članku je obravnavan probem pasovne širine grafa, ki je dokaj znan NP-težak problem. Jedro članka predstavlja aproksimacijski algoritem za približno reševanje tega problema, temelječ na ...semidefinitnem programiranju. Za ta algoritem je narejena tudi analiza kvalitete, ki pokaže, da je pričakovani rezultat soliden. Težava tega pristopa pa je v tem, da je število omejitev eksponentno. Metode notranjih točk tako niso uporabne, zaradi enostavne preverljivosti zahtev pa lahko uporabimo elipsoidno metodo ali metodo svežnjev, ki pa sta v praksi zelo počasni.
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