Tree-Antimagicness of Disconnected Graphs
2015 ◽
Vol 2015
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pp. 1-4
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A simple graphGadmits anH-covering if every edge inE(G)belongs to a subgraph ofGisomorphic toH. The graphGis said to be (a,d)-H-antimagic if there exists a bijection from the vertex setV(G)and the edge setE(G)onto the set of integers1, 2, …,VG+E(G)such that, for all subgraphsH′ofGisomorphic toH, the sum of labels of all vertices and edges belonging toH′constitute the arithmetic progression with the initial termaand the common differenced.Gis said to be a super (a,d)-H-antimagic if the smallest possible labels appear on the vertices. In this paper, we study super tree-antimagic total labelings of disjoint union of graphs.
2016 ◽
Vol 94
(2)
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pp. 201-207
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2004 ◽
Vol 47
(3)
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pp. 373-388
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2021 ◽
Vol 2021
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pp. 1-9
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