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On Harmonious Labeling of Corona Graphs

Author

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  • Martin Bača
  • Maged Z. Youssef

Abstract

A graph G with q edges is said to be harmonious, if there is an injection f from the vertices of G to the group of integers modulo q such that when each edge xy is assigned the label f(x) + f(y) (mod q), the resulting edge labels are distinct. In this paper, we study the existence of harmonious labeling for the corona graphs of a cycle and a graph G and for the corona graph of K2 and a tree.

Suggested Citation

  • Martin Bača & Maged Z. Youssef, 2014. "On Harmonious Labeling of Corona Graphs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:627248
    DOI: 10.1155/2014/627248
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    References listed on IDEAS

    as
    1. Himayat Ullah & Gohar Ali & Murtaza Ali & Andrea Semaničová-Feňovčíková, 2013. "On Super -Edge-Antimagic Total Labeling of Special Types of Crown Graphs," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, July.
    2. Himayat Ullah & Gohar Ali & Murtaza Ali & Andrea Semaničová-Feňovčíková, 2013. "On Super (a, d)‐Edge‐Antimagic Total Labeling of Special Types of Crown Graphs," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
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