Maximum weight disjoint paths in outerplanar graphs via single-tree cut approximators
نویسندگان
چکیده
Since 1997 there has been a steady stream of advances for the maximum disjoint paths problem. Achieving tractable results usually required focusing on relaxations such as: (i) to allow some bounded edge congestion in solutions, (ii) only consider unit weight (cardinality) setting, (iii) require fractional routability selected demands (the all-or-nothing flow setting). For general form (no congestion, weights, integral routing) edge-disjoint (edp) even case capacity trees which are stars generalizes matching problem Edmonds provided an exact algorithm. capacitated trees, Garg, Vazirani, Yannakakis showed is APX-Hard and Chekuri, Mydlarz, Shepherd 4-approximation. This essentially setting where constant approximation known edp. We extend their result by giving constant-factor algorithm general-form edp outerplanar graphs. A key component find single-tree O(1) cut approximator Previously approximators were via distributions these based implicitly Gupta, Newman, Rabinovich Sinclair distance tree embeddings combined with Anderson Feige.
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2022
ISSN: ['0025-5610', '1436-4646']
DOI: https://doi.org/10.1007/s10107-022-01780-0