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

February 05, 2019 Β· Declared Dead Β· πŸ› Discrete Applied Mathematics

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Authors Tom Denat, Ararat Harutyunyan, Vangelis Th. Paschos arXiv ID 1902.01874 Category cs.DS: Data Structures & Algorithms Citations 8 Venue Discrete Applied Mathematics Last Checked 4 months ago
Abstract
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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