Distributed algorithms for covering, packing and maximum weighted matching
نویسندگان
چکیده
منابع مشابه
Improved Deterministic Algorithms for Weighted Matching and Packing Problems
Based on the method of (n, k)-universal sets, we present a deterministic parameterized algorithm for the weighted rd-matching problem with time complexity O∗(4(r−1)k+o(k)), improving the previous best upper bound O∗(4rk+o(k)). In particular, the algorithm applied to the unweighted 3d-matching problem results in a deterministic algorithm with time O ∗(16k+o(k)), improving the previous best resul...
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The problem of computing a matching of maximum weight in a given edge-weighted graph is not known to be P-hard or in RNC. This paper presents four parallel approximation algorithms for this problem. The rst is an RNC-approximation scheme, i.e., an RNC algorithm that computes a matching of weight at least 1 times the maximum for any given constant > 0. The second one is an NC approximation algor...
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We present two parallel approximation algorithms for nding a matching of maximum weight in a given edge-weighted graph. To deal with unbounded weights e ciently on a PRAM, the algorithms only use the total order of the weights. That is, we assume that the algorithms can only compare with weights of edges. The rst algorithm deterministically runs in O(log n) time. Its approximation ratio is 2 3 ...
متن کاملParallel Approximation Algorithms for the Weighted Maximum Matching Problem
We consider the problem of computing a matching in a large weighted graph using a parallel algorithm. Since an exact algorithm for the weighted matching problem is fairly costly we instead develop a fast approximation algorithm. The parallel algorithm is based on a distributed algorithm due to Hoepman [6]. Through experiments using both complete as well as sparse graphs we show that our new alg...
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ژورنال
عنوان ژورنال: Distributed Computing
سال: 2011
ISSN: 0178-2770,1432-0452
DOI: 10.1007/s00446-011-0127-7