#### Average-case complexity of a branch-and-bound algorithm for min dominating set

##### Tom Denat, Ararat Harutyunyan, Vangelis Th. Paschos

The average-case complexity of a branch-and-bound algorithms for Minimum Dominating Set problem in random graphs in the G(n,p) model is studied. We identify phase transitions between subexponential and exponential average-case complexities, depending on the growth of the probability p with respect to the number n of nodes.

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