We handle in this paper three dominating clique problems, namely, the decision problem to detect whether a graph has a dominating clique and two optimization versions asking to compute a maximum- and a minimum-size dominating clique of a graph G, if G has a dominating clique. For the three problems we propose exact moderately exponential algorithms with worst-case running time upper bounds improving those by Kratsch and Liedloff [D. Kratsch, M. Liedloff, An exact algorithm for the minimum dominating clique problem, Theoret. Comput. Sci. 385 (1–3) (2007) 226–240]. We then study the three problems in sparse and dense graphs also providing improved running time upper bounds. Finally, we propose some exponential time approximation algorithms for the optimization versions.
Algorithms for dominating clique problems / N., Bourgeois; DELLA CROCE DI DOJOLA, Federico; B., Escoffier; Paschos, V. T. h.. - In: THEORETICAL COMPUTER SCIENCE. - ISSN 0304-3975. - 459:(2012), pp. 77-88. [10.1016/j.tcs.2012.07.016]
Algorithms for dominating clique problems
DELLA CROCE DI DOJOLA, Federico;
2012
Abstract
We handle in this paper three dominating clique problems, namely, the decision problem to detect whether a graph has a dominating clique and two optimization versions asking to compute a maximum- and a minimum-size dominating clique of a graph G, if G has a dominating clique. For the three problems we propose exact moderately exponential algorithms with worst-case running time upper bounds improving those by Kratsch and Liedloff [D. Kratsch, M. Liedloff, An exact algorithm for the minimum dominating clique problem, Theoret. Comput. Sci. 385 (1–3) (2007) 226–240]. We then study the three problems in sparse and dense graphs also providing improved running time upper bounds. Finally, we propose some exponential time approximation algorithms for the optimization versions.Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
https://hdl.handle.net/11583/2502690
Attenzione
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo