A defining set (sf cute-x coloring) of a graph G is a set of vertices S with an assignment of colors to its elements which has a unique completion to a proper coloring of G. We define a minimal d&kg set to be a defining set which does not properly contain another defining set. If G is a uniquely ver
Defining sets and uniqueness in graph colorings: A survey
โ Scribed by E.S. Mahmoodian
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 66 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
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In a given graph G, a set of vertices S with an assignment of colors is said to be a defining set of the vertex coloring of G, if there exists a unique extension of the colors of S to a z(G)coloring of the vertices of G. The concept of a defining set has been studied, to some extent, for block desig
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