A valuation on a simple graph G IS an assignment of labels to the vertices of G which induces an assignment of labels to the edges of G. pvaluations, also called graceful labelings, and a-valuations, a subclass of graceful labelings, have an extensive literature; harmonious labelings have been intro
โฆ LIBER โฆ
On Partitional Labelings of Graphs
โ Scribed by Rikio Ichishima; Akito Oshima
- Book ID
- 107508884
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 191 KB
- Volume
- 3
- Category
- Article
- ISSN
- 1661-8270
No coin nor oath required. For personal study only.
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## Abstract Given a graph ฮ an abelian group __G__, and a labeling of the vertices of ฮ with elements of __G__, necessary and sufficient conditions are stated for the existence of a labeling of the edges in which the label of each vertex equals the product of the labels of its incident edges. Such
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