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On entire face irregularity strength of disjoint union of plane graphs

Author

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  • Bača, Martin
  • Lascsáková, Marcela
  • Naseem, Maria
  • Semaničová-Feňovčíková, Andrea

Abstract

A face irregular entire k-labeling of a 2-connected plane graph G is a labeling of vertices, edges and faces of G with labels from the set {1,2,…,k} in such a way that for any two different faces their weights are distinct. The weight of a face under a k-labeling is the sum of labels carried by that face and all the edges and vertices incident with the face. The minimum k for which a plane graph G has a face irregular entire k-labeling is called the entire face irregularity strength.

Suggested Citation

  • Bača, Martin & Lascsáková, Marcela & Naseem, Maria & Semaničová-Feňovčíková, Andrea, 2017. "On entire face irregularity strength of disjoint union of plane graphs," Applied Mathematics and Computation, Elsevier, vol. 307(C), pages 232-238.
    • Handle: RePEc:eee:apmaco:v:307:y:2017:i:c:p:232-238
    DOI: 10.1016/j.amc.2017.02.051
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