- Title
- On d-antimagic labelings of plane graphs
- Creator
- Baca, Martin; Brankovic, Ljiljana; Lascsakova, Marcela; Phanalasy, Oudone; Semanicova-Fenovciova, Andrea
- Relation
- Electronic Journal of Graph Theory and Applications Vol. 1, Issue 1, p. 28-39
- Publisher Link
- http://dx.doi.org/10.5614/ejgta.2013.1.1.3
- Publisher
- Institut Teknologi Bandung
- Resource Type
- journal article
- Date
- 2013
- Description
- The paper deals with the problem of labeling the vertices and edges of a plane graph in such a way that the labels of the vertices and edges surrounding that face add up to a weight of that face.A labeling of a plane graph is called d-antimagic if for every positive integer s, the s-sided face weights form an arithmetic progression with a difference d. Such a labeling is called super if the smallest possible labels appear on the vertices.In the paper we examine the existence of such labelings for several families of plane graphs.
- Subject
- plane graph; d-antimagic labeling; super d-antimagic labeling
- Identifier
- http://hdl.handle.net/1959.13/1294169
- Identifier
- uon:18754
- Identifier
- ISSN:2338-2287
- Language
- eng
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