amyloid 发表于 2025-3-25 07:04:48
Springer Tracts in Modern Physics . items, each of which associated with a non-negative value. There are also . players and each player is only interested in some of the items. The goal is to distribute the items between the players such that the least happy person is as happy as possible, i.e. one wants to maximize the minimum of男学院 发表于 2025-3-25 10:56:52
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Springer Tracts in Modern Physics 17ques of Samorodnitsky and Trevisan to obtain a UGC hardness result when . is a prime. More precisely, assuming the Unique Games Conjecture, we show that it is NP-hard to approximate the problem to a ratio greater than .../... Independent of this work, Austrin and Mossel obtain a more generamyopia 发表于 2025-3-26 05:08:42
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Springer Tracts in Modern Physicsraph. The instance for these problems is a graph . = (.,.) and an integer .. The .. problem is to find a minimum edge subset of . that intersects every .-cycle. The .. problem is to find a maximum edge subset of . without .-cycles..The 3. problem (covering all triangles) was studied by Krivelevich [让步 发表于 2025-3-26 13:05:21
https://doi.org/10.1007/BFb0111918This improves over both the randomized algorithm of Hassin and Rubinstein with expected approximation ratio of 7/8 − .(..) and the deterministic (7/8 − .(..))-approximation algorithm of Chen and Nagoya ..In the new algorithm, we extend the approach of processing local configurations using so-Crohns-disease 发表于 2025-3-26 19:04:42
Springer Tracts in Modern Physics 6reserving reduction from . to .. Our reduction extends and widely generalizes as well as significantly simplifies the main results of . Using it, we derive some new hardness of approximation results, as follows. We show that directed and undirected variants of . and of .. are equivalent w.r.t. ap