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On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs

Author

Listed:
  • Martin Bača

    (Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia)

  • Muhammad Irfan

    (Abdus Salam School of Mathematical Sciences, GC University, 54 000 Lahore, Pakistan)

  • Joe Ryan

    (School of Electrical Engineering and Computer Science, the University of Newcastle, Callaghan, NSW 2308, Australia)

  • Andrea Semaničová-Feňovčíková

    (Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia)

  • Dushyant Tanna

    (School of Mathematical and Physical Sciences, the University of Newcastle, Callaghan, NSW 2308, Australia)

Abstract

We study an edge irregular reflexive k -labelling for the generalized friendship graphs, also known as flowers (a symmetric collection of cycles meeting at a common vertex), and determine the exact value of the reflexive edge strength for several subfamilies of the generalized friendship graphs.

Suggested Citation

  • Martin Bača & Muhammad Irfan & Joe Ryan & Andrea Semaničová-Feňovčíková & Dushyant Tanna, 2017. "On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs," Mathematics, MDPI, vol. 5(4), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:4:p:67-:d:119718
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