Inapproximability of Combinatorial Optimization Problems
نویسنده
چکیده
We survey results on the hardness of approximating combinatorial optimization problems.
منابع مشابه
The zoo of tree spanner problems
Tree spanner problems have important applications in network design, e.g. in the telecommunications industry. Mathematically, there have been considered quite a number of maxstretch tree spanner problems and of average stretch tree spanner problems. We propose a unified notation for 20 tree spanner problems, which we investigate for graphs with general positive weights, with metric weights, and...
متن کاملCombinatorial Optimization with Explicit Delineation of the Ground Set by a Collection of Subsets
We examine a selective list of combinatorial optimization problems in NP with respect to inapproximability (Arora and Lund, 1997) given that the ground set of elements N has additional characteristics. For each problem in this paper, the set N is expressed explicitly by subsets of N either as a partition or in the form of a cover. The problems examined are generalizations of well known classica...
متن کاملInapproximability Reductions and Integrality Gaps
In this thesis we prove intractability results for several well studied problems in combinatorial optimization. Closest Vector Problem with Pre-processing (CVPP): We show that the pre-processing version of the well known Closest Vector Problem is hard to approximate to an almost polynomial factor (2 1− ) unless NP is in quasi polynomial time. The approximability of CVPP is closely related to th...
متن کاملCombinatorial Dominance Guarantees for Heuristic Algorithms
An f (n) dominance bound on a heuristic for some problem is a guarantee that the heuristic always returns a solution not worse than at least f (n) solutions. In this paper, we analyze several heuristics for Vertex Cover, Set Cover, and Knapsack for dominance bounds. In particular, we show that the well-known maximal matching heuristic of Vertex Cover provides an excellent dominance bound. We in...
متن کاملOn the Hardness and Inapproximability of Optimization Problems on Power Law Graphs
The discovery of power law distribution in degree sequence (i.e. the number of vertices with degree i is proportional to i−β for some constant β) of many large-scale real networks creates a belief that it may be easier to solve many optimization problems in such networks. Our works focus on the hardness and inapproximability of optimization problems on power law graphs (PLG). In this paper, we ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Electronic Colloquium on Computational Complexity (ECCC)
دوره شماره
صفحات -
تاریخ انتشار 2004