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Simple paths with exact and forbidden lengths

Abstract : We study new decision and optimization problems of finding a simple path between two given vertices in an arc weighted directed multigraph such that the path length is equal to a given number or it does not fall into the given forbidden intervals (gaps). A fairly complete computational complexity classification is provided and exact and approximation algorithms are suggested.
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https://hal.archives-ouvertes.fr/hal-01774847
Contributor : Alexandre Dolgui <>
Submitted on : Tuesday, April 24, 2018 - 9:27:56 AM
Last modification on : Wednesday, April 21, 2021 - 8:52:05 AM
Long-term archiving on: : Tuesday, September 18, 2018 - 11:03:11 PM

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Alexandre Dolgui, Mikhail Kovalyov, Alain Quilliot. Simple paths with exact and forbidden lengths. Naval Research Logistics, Wiley-Blackwell, 2018, 65 (1), pp.78 - 85. ⟨10.1002/nav.21783⟩. ⟨hal-01774847⟩

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