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Designs, Codes and Cryptography

, Volume 69, Issue 2, pp 181–188 | Cite as

New results on variants of covering codes in Sierpiński graphs

  • Sylvain Gravier
  • Matjaž Kovše
  • Michel Mollard
  • Julien MoncelEmail author
  • Aline Parreau
Article

Abstract

In this paper we study identifying codes, locating-dominating codes, and total-dominating codes in Sierpiński graphs. We compute the minimum size of such codes in Sierpiński graphs.

Keywords

Codes in graphs Identifying codes Locating-dominating codes Total-domination Sierpiński graphs 

Mathematics Subject Classification (2000)

05C78 94B25 05C69 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Sylvain Gravier
    • 1
    • 2
  • Matjaž Kovše
    • 3
    • 4
  • Michel Mollard
    • 1
    • 2
  • Julien Moncel
    • 1
    • 5
    Email author
  • Aline Parreau
    • 1
    • 2
  1. 1.Fédération de recherche Maths à ModelerGrenobleFrance
  2. 2.Institut Fourier – UMR 5582 CNRS/Université Joseph FourierSt. Martin d’HèresFrance
  3. 3.Faculty of Natural Sciences and MathematicsUniversity of MariborMariborSlovenia
  4. 4.Institute of Mathematics, Physics and MechanicsLjubljanaSlovenia
  5. 5.CNRS – LAAS Université de Toulouse, UPS, INSA, INP, ISAE; UT1, UTM, LAASToulouse Cedex 4France

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