Group testing in graphs
β Scribed by Justie Su-tzu Juan; Gerard J. Chang
- Publisher
- Springer US
- Year
- 2007
- Tongue
- English
- Weight
- 259 KB
- Volume
- 14
- Category
- Article
- ISSN
- 1382-6905
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π SIMILAR VOLUMES
We propose a generalization of signed graphs, called group graphs. These are graphs regarded as symmetric digraphs with a group element s(u, u ) called the signing associated with each arc (u, u ) such that s(u, u)s(u, u) = 1. A group graph is ba2anced if the product s(ul, u2)s(u2, ug) -.s(u,, ul) =
## 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