Clique Vertex Magic Cover of a Graph
β Scribed by K. A. Sugeng; J. Ryan
- Book ID
- 107508949
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 312 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1661-8270
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The following conjecture of T. Gallai is proved: If G is a chordal graph on n vertices, such that all its maximal complete subgraphs have order at least 3, then there is a vertex set of cardinality ~n/3 which meets all maximal complete subgraphs of G. Further related results are given.
For a graph G = (V,E), a vertex set XC\_ V is called a clique if Ixl>~2 and the graph G [X] induced by X is a complete subgraph maximal under inclusion. We say that a vertex set T is a clique-transversal set if T N X ~ 0 for all cliques X of G, and define the clique-transversal number re(G) as the m
The following problem is investigated. Given an undirected graph G, determine the smallest cardinality of a vertex set that meets all complete subgraphs KC G maximal under inclusion.