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    Super Edge-Antimagicness for a Class of Disconnected Graphs

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    Date
    2006-07-13
    Author
    DAFIK M Mirka, J Ryan, M Baca
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    Abstract
    A graph G of order p and size q is called an (a,d)-edge-antimagic total if there exist 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 properties of super (a, d)-edge-antimagic total labeling of disconnected graphs K_{1,m} U K_{1,n}.
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    http://repository.unej.ac.id/handle/123456789/58932
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