Face antimagic labelings of plane graphs Pab

Yuqing Lin, Kiki Ariyanti

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Suppose G is a finite plane graph with vertex set V(G), edge set E(G) and face set F(G). The paper deals with the problem of labeling the vertices, edges and faces of a plane graph G in such a way that the label of a face and labels of vertices and edges surrounding that face add up to a weight of that face. A labeling of a plane graph G is called d-antimagic if for every number s, the s-sided face weights form an arithmetic progression of difference d. In this paper we investigate the existence of d-antimagic labelmgs for special class of plane graphs.

Original languageEnglish
Pages (from-to)259-273
Number of pages15
JournalArs Combinatoria
Volume80
Publication statusPublished - Jul 2006

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