Fast Algorithms for max independent set
نویسندگان
چکیده
منابع مشابه
Fast Algorithms for min independent dominating set
We first devise a branching algorithm that computes a minimum independent dominating set with running time O∗(1.3351n) = O∗(20.417n) and polynomial space. This improves upon the best state of the art algorithms for this problem. We then study approximation of the problem by moderately exponential time algorithms and show that it can be approximated within ratio 1 + ε, for any ε > 0, in a time s...
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max independent set is a paradigmatic problem in theoretical computer science and numerous studies tackle its resolution by exact algorithms with non-trivial worst-case complexity. The best such complexity is, to our knowledge, the O(1.1889) algorithm claimed by (J. M. Robson, Finding a maximum independent set in time O(2), Technical Report 1251-01, LaBRI, Université de Bordeaux I, 2001) in his...
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In on-line computation, instance of the problem dealt is not entirely known from the beginning of the solution process, but it is revealed step-by-step. In this paper we deal with on-line independent set. On-line models studied until now for this problem suppose that the input graph is initially empty and revealed either vertex-by-vertex, or cluster-by-cluster. Here we present a new on-line mod...
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We investigate the use of message-passing algorithms for the problem of finding the max-weight independent set (MWIS) in a graph. First, we study the performance of loopy max-product belief propagation. We show that, if it converges, the quality of the estimate is closely related to the tightness of an LP relaxation of the MWIS problem. We use this relationship to obtain sufficient conditions f...
متن کاملMax Product for Max-Weight Independent Set and Matching
The Max Product (MP) is a local, iterative, message passing style algorithm that has been developed for finding the maximum a posteriori (MAP) assignment of discrete probability distribution specified by a graphical model. The scope of application of MP is vast and in particular it can serve as a heuristic to solve any combinatorial optimization problem. Despite the success of MP algorithm in t...
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ژورنال
عنوان ژورنال: Algorithmica
سال: 2010
ISSN: 0178-4617,1432-0541
DOI: 10.1007/s00453-010-9460-7