Rainbow domination in the lexicographic product of graphs
✍ Scribed by Šumenjak, Tadeja Kraner; Rall, Douglas F.; Tepeh, Aleksandra
- Book ID
- 122692798
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 410 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
The star-chromatic number and the fractional-chromatic number are two generalizations of the ordinary chromatic number of a graph. We say a graph G is star-extremal if its star-chromatic number is equal to its fractional-chromatic number. We prove that star-extremal graphs G have the following inter
A Roman dominating function of a graph G is a function f : V → {0, 1, 2} such that every vertex with 0 has a neighbor with 2. The minimum of f (V (G)) = v∈V f (v) over all such functions is called the Roman domination number γ R (G). A 2-rainbow dominating function of a graph G is a function g that