Moreover, the reductions preserve the approximation ratio: Since an induced subgraph of a claw-free graph is claw-free, it follows that every claw-free graphs is also domination-perfect. However, even if the graph admits k-tuple dominating set, a minimum k -tuple dominating set can be nearly k times as large as a minimum k -dominating set for the same graph;  An 1. In other projects Wikimedia Commons.
In wireless networkingdominating sets are used to find efficient routes within ad-hoc mobile networks. I is a clique and U is an independent set. They independant domination graph theory also been used in document summarization, and in designing secure systems for electrical grids. In other projects Wikimedia Commons. Graph theory objects NP-complete problems Computational problems in graph theory.
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Therefore, finding independant domination graph theory connected dominating sets is equivalent to finding spanning trees with the maximum possible number of leaves. An independent set in L G corresponds to a matching in Gand a dominating set in L G corresponds to an edge dominating set in G. A domatic partition is a partition of the vertices into disjoint dominating sets.
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