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 "minimum cost homomorphisms with constrained costs"):
  Abstract: Minimum cost homomorphism problems can be viewed as a generalization of list homomorphism problems. They also extend two well-known graph colouring problems: the minimum colour sum problem and the optimum cost chromatic partition problem. In both of these problems, the cost function meets an additional constraint: the cost of using a specific colour is the same for every vertex of the input graph. We study minimum cost homomorphism problems with cost functions constrained to have this property. Clearly, when the standard minimum cost homomorphism problem is polynomial, then the problem with constrained costs is also polynomial. We expect that the same may hold for the cases when the standard minimum cost homomorphism problem is NP-complete. We prove that this is the case for trees $H$: we obtain a dichotomy of minimum constrained cost homomorphism problems which coincides with the dichotomy of standard minimum cost homomorphism problems. For general graphs $H$, we prove a partial dichotomy: the problem is polynomial if $H$ is a proper interval graph and NP-complete when $H$ is not chordal bipartite.

Includes members:
  Member "the complexity of conservative valued csps":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "representing fitness landscapes by valued constraints to understand the complexity of local search")
  Member "the dichotomy of list homomorphisms for digraphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "toward a dichotomy for approximation of h coloring")
  Member "duality for min max orderings and dichotomy for min cost homomorphisms":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "extensions of the minimum cost homomorphism problem")

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)