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Kotzig and Rosa (1970) conjectured that every tree is an edge-magic graph. Furthermore, Enomoto, Llado, Nakamigawa and Ringel (1998), proposed the conjecture that every tree admits a super (a,0)-edge-Antimagic total labeling. In this paper, we give support to the partial correctness of these conjectures by showing that subdivided stars and subdivided w-Trees are super (a,0)-edge-Antimagic total graphs. Also, we prove that these graphs are super (a,d)-edge-Antimagic total for some d ≠ 0.

Type

Journal article

Journal

Utilitas mathematica

Publication Date

01/03/2017

Volume

102

Pages

199 - 214