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13.
Non-realizable branching arrays
Magajna, Zlatan ; Mohar, Bojan, 1956-
Naj bo ▫$f:M\to N$▫ razvejani krov ploskev ▫$M$▫ in ▫$N$▫. Tabela razvejišč krova ▫$f$▫ je tabela ▫$A = (a_{i,j})$▫, ▫$j = 1, ..., p_i$▫, ▫$i = 1,...,k$▫, kjer so za vsak ▫$i$▫ ...▫$a_{i,1},...,a_{i,p_i}$▫ indeksi razvejanja nad ▫$i$▫-to razvejiščno točko v ▫$N$▫. Dan je pregled znanih rezultatov o problemu uresničljivosti obstoja razvejabih krovov z dano tabelo razvejišč. V primeru, ko je ▫$N$▫ sfera (edini še nerešen primer), je prikazanih več neskončnih družin netrivialnih neuresničljivih tabel
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