The closed neighborhood of a vertex subset S of a graph G = (V,E), denoted as N[Sj, is defined ss the union of S and the set of all the vertices adjacent to some vertex of S. A dominating set of a graph G = (V, E) is defined as a set S of vertices such that N[q = V. The domination number of a graph
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What is the difference between the domination and independent domination numbers of a cubic graph?
โ Scribed by Curtiss Barefoot; Frank Harary; Kathryn F. Jones
- Publisher
- Springer Japan
- Year
- 1991
- Tongue
- English
- Weight
- 203 KB
- Volume
- 7
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
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Necessary and sufficient conditions are established for the existence of a graph whose upper and lower domination, independence and irredundance numbers are six given positive integers. This result shows that the only relationships between these six parameters which hold for all graphs and which do