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Open Mathematics

formerly Central European Journal of Mathematics

Editor-in-Chief: Gianazza, Ugo / Vespri, Vincenzo


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Volume 11, Issue 6

Issues

Volume 13 (2015)

Sierpiński graphs as spanning subgraphs of Hanoi graphs

Andreas Hinz / Sandi Klavžar
  • Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia
  • Faculty of Natural Sciences and Mathematics, University of Maribor, Koroška 160, 2000, Maribor, Slovenia
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/ Sara Zemljič
Published Online: 2013-03-28 | DOI: https://doi.org/10.2478/s11533-013-0227-7

Abstract

Hanoi graphs H pn model the Tower of Hanoi game with p pegs and n discs. Sierpinski graphs S pn arose in investigations of universal topological spaces and have meanwhile been studied extensively. It is proved that S pn embeds as a spanning subgraph into H pn if and only if p is odd or, trivially, if n = 1.

MSC: 05C60

Keywords: Sierpiński graph; Hanoi graph; Spanning subgraph; Hamming graph

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About the article

Published Online: 2013-03-28

Published in Print: 2013-06-01


Citation Information: Open Mathematics, Volume 11, Issue 6, Pages 1153–1157, ISSN (Online) 2391-5455, DOI: https://doi.org/10.2478/s11533-013-0227-7.

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