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Super (a, d)-edge antimagic total labelings of friendship and generalized friendship graphs
Arumugam S,
Published in Elsevier BV
2015
Volume: 48
   
Pages: 103 - 110
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(uv)=f(u)+f(v)+f(uv); uv∈E(G), form an arithmetic progression starting from a and having common difference d. An (a, d)-edge-antimagic 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. © 2015 .
About the journal
JournalData powered by TypesetElectronic Notes in Discrete Mathematics
PublisherData powered by TypesetElsevier BV
ISSN1571-0653
Open AccessNo