A Note on the Roman Bondage Number of Planar Graphs
β Scribed by Akbari, Saieed; Khatirinejad, Mahdad; Qajar, Sahar
- Book ID
- 120636843
- Publisher
- Springer Japan
- Year
- 2012
- Tongue
- English
- Weight
- 175 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
The bondage number b(G) of a graph G is the minimum cardinality of a set of edges of G whose removal from G makes the domination number of G increase. There are several papers discussed the upper bound of b(G). In this paper, we shall give an improved upper bound of b(G).
The bondage number b(G) of a graph G is the minimum cardinality of a set of edges of G whose removal from G results in a graph with domination number larger than that of G. Several new sharp upper bounds for b(G) are established. In addition, we present an infinite class of graphs each of whose bond