Mathematics
(Nov 2017)
On Edge Irregular Reflexive Labellings for the Generalized Friendship Graphs
Martin Bača,
Muhammad Irfan,
Joe Ryan,
Andrea Semaničová-Feňovčíková,
Dushyant Tanna
Affiliations
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
DOI
https://doi.org/10.3390/math5040067
Journal volume & issue
Vol. 5,
no. 4
Abstract
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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.
Keywords
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