𝔖 Bobbio Scriptorium
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Pair Labelings of Graphs

✍ Scribed by Guichard, David R.; Krussel, John W.


Book ID
118199384
Publisher
Society for Industrial and Applied Mathematics
Year
1992
Tongue
English
Weight
783 KB
Volume
5
Category
Article
ISSN
0895-4801

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πŸ“œ SIMILAR VOLUMES


Group labelings of graphs
✍ Paul H. Edelman; Michael Saks πŸ“‚ Article πŸ“… 1979 πŸ› John Wiley and Sons 🌐 English βš– 181 KB

## Abstract Given a graph Ξ“ an abelian group __G__, and a labeling of the vertices of Ξ“ 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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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

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✍ D. Frank Hsu πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 115 KB

## Abstract A strongly harmonious labeling is the nonmodular version of a harmonious labeling. The windmill graph __K__^(__t__^)~__n__~ is the graph consisting of __t__ copies of the complete graph __K~n~__ with a vertex in common. It is shown that, for __t__ β‰₯ 1, __K__^(__t__^)~__n__~ is strongly