On the domination number of some graphs.

• Main Authors: Alikhani, Saeid, Peng, Yee Hock, Mohd Atan, Kamel Ariffin
• Format: Article
• Language: English; English
• Published: Hikari Ltd 2008
• Online Access: http://psasir.upm.edu.my/id/eprint/15916/1/on%20the%20domination%20number.pdf; http://psasir.upm.edu.my/id/eprint/15916/

Let G = (V,E) be a simple graph. A set S ⊆ V is a dominating set of graph G, if every vertex in V − S is adjacent to at least one vertex in S. The domination number γ(G) is the minimum cardinality of a dominating set in G. It is well known that if e ∈ E(G), then γ(G−e)−1 ≤ γ(G) ≤ γ(G−e). In this pap...