Efficient Approximation Algorithms for Weighted $b$-Matching
نویسندگان
چکیده
منابع مشابه
Efficient Approximation Algorithms for Weighted b-Matching
We describe a half-approximation algorithm, b-Suitor, for computing a b-Matching of maximum weight in a graph with weights on the edges. b-Matching is a generalization of the well-known Matching problem in graphs, where the objective is to choose a subset of M edges in the graph such that at most a specified number b(v) of edges in M are incident on each vertex v. Subject to this restriction we...
متن کاملEfficient Approximation Algorithms for Point-set Diameter in Higher Dimensions
We study the problem of computing the diameter of a set of $n$ points in $d$-dimensional Euclidean space for a fixed dimension $d$, and propose a new $(1+varepsilon)$-approximation algorithm with $O(n+ 1/varepsilon^{d-1})$ time and $O(n)$ space, where $0 < varepsilonleqslant 1$. We also show that the proposed algorithm can be modified to a $(1+O(varepsilon))$-approximation algorithm with $O(n+...
متن کاملParalle Approximation Algorithms for Maximum Weighted Matching in General Graphs
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...
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...
متن کاملParallel Approximation Algorithms for Maximum Weighted Matching in General Graphs
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 first 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 a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2016
ISSN: 1064-8275,1095-7197
DOI: 10.1137/15m1026304