human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "extensions of the minimum cost homomorphism problem"):
  Abstract: Assume $D$ is a finite set and $R$ is a finite set of functions from $D$ to the natural numbers. An instance of the minimum $R$-cost homomorphism problem ($MinHom_R$) is a set of variables $V$ subject to specified constraints together with a positive weight $c_{vr}$ for each combination of $v \in V$ and $r \in R$. The aim is to find a function $f:V \rightarrow D$ such that $f$ satisfies all constraints and $\sum_{v \in V} \sum_{r \in R} c_{vr}r(f(v))$ is minimized. #R##N#This problem unifies well-known optimization problems such as the minimum cost homomorphism problem and the maximum solution problem, and this makes it a computationally interesting fragment of the valued CSP framework for optimization problems. We parameterize $MinHom_R\left(\Gamma\right)$ by {\em constraint languages}, i.e. sets $\Gamma$ of relations that are allowed in constraints. A constraint language is called {\em conservative} if every unary relation is a member of it; such constraint languages play an important role in understanding the structure of constraint problems. The dichotomy conjecture for $MinHom_R$ is the following statement: if $\Gamma$ is a constraint language, then $MinHom_R\left(\Gamma\right)$ is either polynomial-time solvable or NP-complete. For $MinHom$ the dichotomy result has been recently obtained [Takhanov, STACS, 2010] and the goal of this paper is to expand this result to the case of $MinHom_R$ with conservative constraint language. For arbitrary $R$ this problem is still open, but assuming certain restrictions on $R$ we prove a dichotomy. As a consequence of this result we obtain a dichotomy for the conservative maximum solution problem.

Includes members:
  Member "duality for min max orderings and dichotomy for min cost homomorphisms":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "minimum cost homomorphisms with constrained costs")
  Member "minimum cost homomorphisms to reflexive digraphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "finding small separators in linear time via treewidth reduction")
  Member "minimum cost and list homomorphisms to semicomplete digraphs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "space complexity of list h coloring revisited the case of oriented trees")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.CC(Computational Complexity)