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Antimagic Labeling of Generalized Pyramid Graphs

Acta Mathematica Sinica,English Series 2014年第2期30卷 283-290页

作者： Subramanian ARUMUGAM Mirka MILLER oudone phanalasy Joe RYAN National Centre for Advanced Research in Discrete Mathematics Kalasalingam University Department of Computer Science Liverpool Hope University Department of Computer Science Ball State University Muncie School of Mathematical and Physical Sciences University of Newcastle Department of Mathematics University of West Bohemia Department of Informatics King’s College London Department of Mathematics Department of Mathematics National University of Laos School of Electrical Engineering and Computer Science University of Newcastle

An antimagic labeling of a graph withq edges is a bijection from the set of edges to the set of positive integers{1,2,...,q}such that all vertex weights are pairwise distinct,where the vertex weight of a vertex is the sum of the labels of all edges incident with that vertex.A graph is antimagic if it has an antimagic *** this paper,we provide antimagic labelings for a family of generalized pyramid graphs.

关键词： Antimagic labeling generalized pyramid graph graph labeling construction

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Super d-antimagic Labelings of Disconnected Plane Graphs

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Acta Mathematica Sinica,English Series 2010年第12期26卷 2283-2294页

作者： Martin BAA Mirka MILLER oudone phanalasy Andrea SEMANIOV-FEOVKOV Department of Applied Mathematics Technical University School of Electrical Engineering and Computer Science The University of Newcastle Department of Mathematics University of West Bohemia Department of Computer Science King's College London Department of Mathematics National University of Laos

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. The paper examines the existence of such labelings for disjoint union of plane graphs.

关键词： Plane graph d-antimagic labeling super d-antimagic labeling disjoint union of graphs

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