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13.
On a Vizing-like conjecture for direct product graphs
Klavžar, Sandi ; Zmazek, Blaž
Naj bo ▫$\gamma (G)$▫ dominantno število grafa ▫$G$▫ in naj bo ▫$G \times H$▫ direktni produkt grafov ▫$G$▫ in ▫$H$▫. Dokazano je, da za vsak ▫$k \ge 0$▫ obstaja graf ▫$G$▫, tako da velja ▫$\gamma (D ...\times G) \le \gamma (G)^2-k$▫.
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