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Partitioning a Multi-Weighted Graph to Connected Subgraphs of Almost Uniform Size
2007
IEICE transactions on information and systems
Assume that each vertex of a graph G is assigned a constant number q of nonnegative integer weights, and that q pairs of nonnegative integers li and ui, 1 ≤ i ≤ q, are given. One wishes to partition G into connected components by deleting edges from G so that the total i-th weights of all vertices in each component is at least li and at most ui for each index i, 1 ≤ i ≤ q. The problem of finding such a "uniform" partition is NP-hard for series-parallel graphs, and is strongly NP-hard for
doi:10.1093/ietisy/e90-d.2.449
fatcat:xwdaiidgcveonkvixcgu7ej52q