2009
DOI: 10.1007/978-3-642-10631-6_3
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Exact Algorithms for Dominating Clique Problems

Abstract: We handle in this paper three dominating clique problems, namely, the decision problem itself when one asks if there exists a dominating clique in a graph G and two optimization versions where one asks for a maximum-and a minimum-size dominating clique, if any. For the three problems we propose optimal algorithms with provably worst-case upper bounds improving existing ones by (D. Kratsch and M. Liedloff, An exact algorithm for the minimum dominating clique problem, Theoretical Computer Science 385(1-3), pp. [… Show more

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Cited by 4 publications
(1 citation statement)
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“…In the first two states of each son, the first case is not the least needed, then in order to meet the definition of the second case, you need to redefine the state of the son when Point i as a first case. Take the point at the lowest cost, i.e [13]. take the son node u of min (dp [u] [0] -dp [u] [1]) and force it to take its first state, and the other son nodes take the second state, the conversion equation is:…”
Section: Tree Dp Solutionmentioning
confidence: 99%
“…In the first two states of each son, the first case is not the least needed, then in order to meet the definition of the second case, you need to redefine the state of the son when Point i as a first case. Take the point at the lowest cost, i.e [13]. take the son node u of min (dp [u] [0] -dp [u] [1]) and force it to take its first state, and the other son nodes take the second state, the conversion equation is:…”
Section: Tree Dp Solutionmentioning
confidence: 99%