A (p, q)-graph G is (a,d)-edge antimagic total if there exists a bijection f: V(G) ∪ E(G) → {1, 2,...,p + q} such that the edge weights Λ(uv) = f(u) + f(uv) + f(v), uv ∈ E(G) form an arithmetic progression with first term a and common difference d. It is said to be a super (a, d)-edge antimagic total if the vertex labels are {1, 2,..., p} and the edge labels are {p + 1, p + 2,...,p + q}. In this paper, we study the super (a,d)-edge antimagic total labeling of special classes of graphs derived from copies of generalized ladder, fan, generalized prism and web graph.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1623,
author = {P. Roushini Leely Pushpam and A. Saibulla},
title = {On super (a,d)-edge antimagic total labeling of certain families of graphs},
journal = {Discussiones Mathematicae Graph Theory},
volume = {32},
year = {2012},
pages = {535-543},
zbl = {1257.05153},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1623}
}
P. Roushini Leely Pushpam; A. Saibulla. On super (a,d)-edge antimagic total labeling of certain families of graphs. Discussiones Mathematicae Graph Theory, Tome 32 (2012) pp. 535-543. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1623/
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