Minggu, 29 Juni 2014 - 21:42:49 WIB
On Super (a,d)-edge-antimagic total labeling of disconnected graphs
Dafik, Mirka Miller, Joe Ryan, Martin Baca, Discrete Mathematics 15 (309) (2009) 4909 - 4915
Jurnal Internasional

Abstract

Abstract: A graph G of order p and size q is called (a,d)-edge-antimagic total if there exists a bijection f : V(G) U E(G) -- > {1,2, . . ., p+q} such that the edge-weights, w(u, v) = f(u) + f(v) + f(uv), uv in E(G), form an arithmetic sequence with the first term a and common difference d. Such a graph G is called superif the smallest possible labels appear on the vertices. In this paper we study super (a,d)-edge-antimagic total properties of disconnected graphs mC_n and mP_n.

Key Words: super (a,d)-edge-antimagic, disconnected graphs, mC_n and mP_n


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