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Mathematics 2017, 5(4), 67; https://doi.org/10.3390/math5040067

On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs

1
Department of Applied Mathematics and Informatics, Technical University, 042 00 Košice, Slovakia
2
Abdus Salam School of Mathematical Sciences, GC University, 54 000 Lahore, Pakistan
3
School of Electrical Engineering and Computer Science, the University of Newcastle, Callaghan, NSW 2308, Australia
4
School of Mathematical and Physical Sciences, the University of Newcastle, Callaghan, NSW 2308, Australia
*
Author to whom correspondence should be addressed.
Academic Editor: Yang-Hui He
Received: 22 June 2017 / Revised: 6 October 2017 / Accepted: 15 November 2017 / Published: 21 November 2017
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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. View Full-Text
Keywords: edge irregular reflexive labelling; reflexive edge strength; cycles; generalized friendship graph edge irregular reflexive labelling; reflexive edge strength; cycles; generalized friendship graph
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Bača, M.; Irfan, M.; Ryan, J.; Semaničová-Feňovčíková, A.; Tanna, D. On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs. Mathematics 2017, 5, 67.

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