On super edge-antimagic total labelings of |
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Authors: | Martin Ba
a Christian Barrientos |
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Institution: | aDepartment of Applied Mathematics, Technical University, Letná 9, 042 00 Košice, Slovak Republic;bDepartment of Mathematics, Clayton State University, Morrow, GA 30260, USA |
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Abstract: | A graph G of order p and size q is called (a,d)-edge-antimagic total if there exists a bijective function f:V(G)E(G)→{1,2,…,p+q} such that the edge-weights w(uv)=f(u)+f(v)+f(uv), uvE(G), form an arithmetic sequence with first term a and common difference d. The graph G is said to be super (a,d)-edge-antimagic total if the vertex labels are 1,2,…,p. In this paper we study super (a,d)-edge-antimagic properties of mKn, that is, of the graph formed by the disjoint union of m copies of Kn. |
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Keywords: | Complete graphs (a d)-Edge-antimagic vertex labeling Super (a d)-edge-antimagic total labeling |
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