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Coalition Structure Generation over Graphs

2012
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The Journal of Artificial Intelligence Research
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We give the analysis of the computational complexity of coalition structure generation over graphs. Given an undirected graph G = (N,E) and a valuation function v : P(N) → R over the subsets of nodes, the problem is to find a partition of N into connected subsets, that maximises the sum of the components values. This problem is generally NPcomplete; in particular, it is hard for a defined class of valuation functions which are independent of disconnected membersthat is, two nodes have no

doi:10.1613/jair.3715
fatcat:2k6mjdrf3jdhnkjdajqsacob3i