On super edge-antimagic total labeling of subdivided stars
Muhammad Javaid · Discussiones Mathematicae Graph Theory · 2014
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 edgeantimagic labeling parameter d, where n ≥ 3 is odd, n m = 2 m-4 (4n + 1) + 1, r ≥ 5 and 5 ≤ m ≤ r.