Geodesic
On super edge-antimagic total labeling of subdivided stars
Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 691-706.

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In 1980, Enomoto et al. proposed the conjecture that every tree is a super (a, 0)-edge-antimagic total graph. In this paper, we give a partial support for the correctness of this conjecture by formulating some super (a, d)-edge-antimagic total labelings on a subclass of subdivided stars denoted by T(n, n + 1, 2n + 1, 4n + 2, n_5, n_6, . . ., n_r) for different values of the edge-antimagic labeling parameter d, where n ≥ 3 is odd, n_m = 2^m−4(4n+1)+1, r ≥ 5 and 5 ≤ m ≤ r.
Keywords: subdivision of star, super ($a, d$)-EAT labeling 
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Javaid, Muhammad. On super edge-antimagic total labeling of subdivided stars. Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 691-706. http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a3/

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