Minggu, 29 Juni 2014 - 21:12:10 WIB
Antimagic labeling of the union of stars
Dafik, M. Miller, J. Ryan and M. Baca, The Australasian Journal of Combinatorics, 42 (2008) 35 - 44
Jurnal Internasional

Abstract

Abstract: Let G be a graph of order p and size q. An (a, d)-edge-antimagic totallabeling of G is a one-to-one map f taking the vertices and edges onto 1, 2, . . . , p + q so that the edge-weights w(u, v) = f(u) + f(v) + f(uv), uv in E(G), form an arithmetic progression, starting from a and having common difference d. Moreover, such a labeling is called super (a, d)-edge-antimagic totalif f(V (G)) = {1, 2, . . . , p}. This paper considers such labelings applied to a disjoint union of two stars K(1,m) and K(1,n).


Key Words: Super (a, d)-edge-antimagic total labelings, disjoint union, two stars


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