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On distances in Sierpiński graphs: almost-extreme vertices and metric dimension
Klavžar, Sandi ; Zemljič, Sara Sabrina
Grafi Sierpińskega ▫$S_p^n$▫ tvorijo intenzivno raziskovano družino grafov fraktalne narave. Uporabni so v topologiji, matematiki Hanojskega stolpa, računalništvu, ter drugod. V članku vpeljemo ...skoraj-ekstremna vozlišča grafa ▫$S_p^n$▫ kot vozlišča, ki so bodisi sosedna z nekim ekstremnim vozliščem, ali pa so incidenčna povezavi med dvema podgrafoma izomorfnima ▫$S_p^{n-1}$▫. Podane so eksplicitne formule za razdalje v ▫$S_p^{n}$▫ med poljubnim vozliščem in skoraj-ekstremnim vozliščem. Formule so uporabljene za izračun celotne razdalje skoraj-ekstremnih vozlišč in za določitev metrične dimenzije grafov Sierpińskega.
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