Independant domination graph theory

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(PDF) Connected Least Co-Independent Domination of a Graph | iir publications - zamki-class.com

Figures a — c on the right show three examples of dominating sets for a graph. In each example, each white vertex is adjacent to at least one red vertex, and it is said that the white vertex is dominated by the red vertex. The domination number of this graph is 2: the examples b and c show that there is a dominating set with 2 vertices, and it can be checked that there is no dominating set with only 1 vertex for this graph. The domination problem was studied from the s onwards, but the rate of research on domination significantly increased in the mids. In , Richard Karp proved the set cover problem to be NP-complete. This had immediate implications for the dominating set problem, as there are straightforward vertex to set and edge to non-disjoint-intersection bijections between the two problems.
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Independent domination in graphs: A survey and recent results

By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Sadly, this problem is NP-hard , hence there is no known polynomial time algorithm for this problem and probably there is no way to find one such algorithm. You may find polynomial time approximate algorithms if you are working in some especial types of graphs. Here they show a random polynomial time approximation algorithm for this problem in some special graphs. They also discuss aproximating algortihms for some other types of graphs.
Skip to search form Skip to main content. In this paper, we offer a survey of selected recent results on independent domination in graphs. View via Publisher. Open Access.
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