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- W2049003114 abstract "The min–min problem of finding a disjoint path pair with the length of the shorter path minimized is known to be NP-complete (Xu et al., 2006) [1]. In this paper, we prove that in planar digraphs the edge-disjoint min–min problem remains NP-complete and admits no K-approximation for any K>1 unless P=NP. As a by-product, we show that this problem remains NP-complete even when all edge costs are equal (i.e., stronglyNP-complete). To our knowledge, this is the first NP-completeness proof for the edge-disjoint min–min problem in planar digraphs." @default.
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- W2049003114 date "2012-05-01" @default.
- W2049003114 modified "2023-09-27" @default.
- W2049003114 title "On the complexity of the edge-disjoint min–min problem in planar digraphs" @default.
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- W2049003114 doi "https://doi.org/10.1016/j.tcs.2011.12.009" @default.
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