Super d-antimagic labelings of disconnected plane graphs |
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Authors: | Martin Bača Mirka Miller Oudone Phanalasy Andrea Semaničová-Feňovčíková |
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Affiliation: | (1) Division of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon;(2) Department of Computer Science, University of Tennessee, Knoxville, TN 37996, USA |
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Abstract: | This paper deals with the problem of labeling the vertices, edges and faces of a plane graph in such a way that the label of a face and the labels of the vertices and edges surrounding that face add up to a weight of that face, and the weights of all s-sided faces constitute an arithmetic progression of difference d, for each s that appears in the graph. |
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Keywords: | Plane graph d-antimagic labeling super d-antimagic labeling disjoint union of graphs |
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