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)
Proseeding

Abstract

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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