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Super (a, d)-edge antimagic total labelings of friendship graphs
S. Arumugam,
Published in
2012
Volume: 53
   
Pages: 237 - 243
Abstract
An (a, d)-edge-antimagic total labeling of a graph G with p vertices and q edges is a bijection f from the set of all vertices and edges to the set of positive integers {1, 2, 3,., p + q} such that all the edge-weights w(uν) = f(u) + f(ν) + f(uν); uν ∈ E(G), form an arithmetic progression starting from a and having common difference d. An (a, d)-edgeantimagic total labeling is called a super (a, d)-edge-antimagic total labeling ((a, d)-SEAMT labeling) if f(V (G)) = {1, 2, 3,., p}. In this paper we investigate the existence of super (a, d)-edge antimagic total labeling for friendship graphs and generalized friendship graphs.
About the journal
JournalAustralasian Journal of Combinatorics
ISSN10344942