Geodesic
On super (a,d)-edge antimagic total labeling of certain families of graphs
Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 3, pp. 535-543

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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.
Keywords: edge weight, magic labeling, antimagic labeling, ladder, fan graph, prism and web graph 
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     title = {On super (a,d)-edge antimagic total labeling of certain families of graphs},
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Roushini Leely Pushpam, P.; Saibulla, A. On super (a,d)-edge antimagic total labeling of certain families of graphs. Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 3, pp. 535-543. http://geodesic.mathdoc.fr/item/DMGT_2012_32_3_a11/