ON SUPER EDGE-ANTIMAGIC TOTAL LABELING OF SUBDIVIDED STARS

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-antimagiv 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.