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Graphs that are simultaneously efficient open domination and efficient closed domination graphs
Klavžar, Sandi ; Peterin, Iztok ; Yero, Ismael G.
Graf imenujemo učinkovito odprto (zaprto) dominiran graf, če obstaja podmnožica vozlišč, tako da njihove odprte (zaprte) okolice porodijo particijo vozlišč grafa. V članku so raziskovani grafi, ki so ...hkrati učinkovito odprto in učinkovito zaprto dominirani. Pojasnjena je struktura teh grafov glede na njihove učinkovite odprte in zaprte množice. Dokazano je, da je problem prepoznavanja teh grafov NP-poln. Podan je rekurziven opis takih grafov znotraj družine dreves, ter njihova karaktererizacija med grafi Sierpińskega.
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