Abstract
Chinet et al. [5] dened banana trees and Hussain et al. [9] proved some results on super (a; 0)-edge-antimagic total labeling of banana trees. Javaid et al. [11, 14, 15] dened w-trees and extended w-trees as new classes of trees. They proved that w-trees and extended w-trees admit a super (a; d)-edge-antimagic total labeling. It is also proved that disjoint unions of their isomorphic and non-isomorphic copies are an (a; d)-edge-antimagic total graphs. In this paper, we dene Aman trees denoted by At(n; m; r; k) and nd the existence of a super (a; d)-edge-antimagic total labeling on Aman trees for d 2 f0; 1; 2g.
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