Super (a, d)-Edge-Antimagic total labeling of subdivided stars and w-Trees

Authors

  • Javaid M.
  • Bhatti A.A.

Abstract

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.

Published

2017-03-09

How to Cite

Javaid M., & Bhatti A.A. (2017). Super (a, d)-Edge-Antimagic total labeling of subdivided stars and w-Trees. Utilitas Mathematica, 102. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1259

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