Computational Complexity of the Extended Minimum Cost Homomorphism Problem on Three-Element Domains
Computational Complexity of the Extended Minimum Cost Homomorphism Problem on Three-Element Domains
复制标题
三元域上扩展的最小成本同态问题的计算复杂度
DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Hannes Uppman
中科院分区：
文献类型：
--
作者：
Hannes Uppman
In this paper we study the computational complexity of the extended minimum cost homomorphism problem (Min-Cost-Hom) as a function of a constraint language, i.e. a set of constraint relations and cost functions that are allowed to appear in instances. A wide range of natural combinatorial optimisation problems can be expressed as extended Min-Cost-Homs and a classification of their complexity would be highly desirable, both from a direct, applied point of view as well as from a theoretical perspective.
The extended Min-Cost-Hom can be understood either as a flexible optimisation version of the constraint satisfaction problem (CSP) or a restriction of the (general-valued) valued constraint satisfaction problem (VCSP). Other optimisation versions of CSPs such as the minimum solution problem (Min-Sol) and the minimum ones problem (Min-Ones) are special cases of the extended Min-Cost-Hom.
The study of VCSPs has recently seen remarkable progress. A complete classification for the complexity of finite-valued languages on arbitrary finite domains has been obtained in [Thapper and Zivny, STOC'13]. However, understanding the complexity of languages that are not finite-valued appears to be more difficult. The extended Min-Cost-Hom allows us to study problematic languages of this type without having to deal with with the full generality of the VCSP. A recent classification for the complexity of three-element by Min-Sol [Uppman, ICALP'13], takes a step in this direction. In this paper we generalise this result considerably by determining the complexity of three-element extended Min-Cost-Hom.
影响因子：
1.6
作者：
Cohen D
通讯作者：
Cohen D
偏斜双子模性和有价值的 CSP
影响因子：
1.6
作者：
Huber A
通讯作者：
Huber A