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New results of identifying codes in product graphs

Author

Listed:
  • Maddah, Sheyda
  • Ghorbani, Modjtaba
  • Dehmer, Matthias

Abstract

For the vertex v of graph G and the subset N⊆V(G) of the vertex set, let IN(v)={N∩NG[v]}. If, for all vertices v’s of G, IN(v)’s are distinct non-empty sets, then N is said to be an identifying code and we indicate it by i(G). A graph G is called identifiable, if distinct vertices of this graph have distinct closed neighboods. In the current work, we investigate some upper bounds for the identifying code of given graph products.

Suggested Citation

  • Maddah, Sheyda & Ghorbani, Modjtaba & Dehmer, Matthias, 2021. "New results of identifying codes in product graphs," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    • Handle: RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005270
    DOI: 10.1016/j.amc.2021.126438
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    References listed on IDEAS

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    1. M. Nouri & S. Talatahari & A. Salimi Shamloo, 2012. "Graph Products and Its Applications in Mathematical Formulation of Structures," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-16, December.
    2. Ghorbani, Modjtaba & Dehmer, Matthias & Maimani, Hamidreza & Maddah, Sheyda & Roozbayani, Maryam & Emmert-Streib, Frank, 2020. "The watching system as a generalization of identifying code," Applied Mathematics and Computation, Elsevier, vol. 380(C).
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