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Super d-antimagic labelings of disconnected plane graphs
Authors:Martin Bača  Mirka Miller  Oudone Phanalasy  Andrea Semaničová-Feňovčíková
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
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.
Keywords:Plane graph   d-antimagic labeling   super d-antimagic labeling   disjoint union of graphs
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