Minggu, 29 Juni 2014 - 22:52:49 WIB
Super Antimagicness of triangular ladder and diamond ladder
Dafik, Slamin, Fitriana Eka R, Laelatus Syadiyah, Proceeding of The IndoMS International Conference on Mathematics and Its Applicatgion (IICMA) (2013)


Abstract: A graph G of order p and size q is called an (a, d)-edge-antimagic totalif there exists a bijection f : V (G) U E(G) ---> {1, 2, ...,  p + q} such that the edge-weights, W(uv) = f(u)+f(v)+f(uv); uv in E(G), form an arithmetic sequence with first term a and common difference d. Such a graph G is called super if the smallest possible labels appear on the vertices. In this paper we study super (a, d)-edge-antimagic total properties of Triangular Book and Diamond Ladder graphs. The result shows that there are a super (a, d)-edge-antimagic total labeling of graph Bt_n and Dl_n, if n>=1 with d in {0, 1, 2}.

Key Words: (a, d)-edge-antimagic total labeling, super (a, d)-edge-antimagic total labeling, Triangular Book, Diamond Ladder.

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