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1-perfect codes in Sierpiński graphs
Klavžar, Sandi ; Milutinović, Uroš ; Petr, Ciril
Grafi Sierpińskega ▫$S(n,k)$▫ predstavljajo posplošitev grafov hanojskih stolpov - graf ▫$S(n,3)$▫ je izomorfen grafu ▫$H_n$▫ hanojskih stolpov z ▫$n$▫ obroči. Dokazano je, da grafi ▫$S(n,k)$▫ ...vsebujejo enolične 1-popolne kode. S tem je razširjen prej znani rezultat za ▫$H_n$▫. Predstavljen je tudi učinkovit algoritem dekodiranja. Predlagani pristop je bistveno različen od znanega pristopa za grafe ▫$H_n$▫.
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