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 "complexity of the exact domatic number problem and of the exact conveyor flow shop problem"):
  Abstract: We prove that the exact versions of the domatic number problem are complete for the levels of the boolean hierarchy over NP. The domatic number problem, which arises in the area of computer networks, is the problem of partitioning a given graph into a maximum number of disjoint dominating sets. This number is called the domatic number of the graph. We prove that the problem of determining whether or not the domatic number of a given graph is {\em exactly} one of k given values is complete for the 2k-th level of the boolean hierarchy over NP. In particular, for k = 1, it is DP-complete to determine whether or not the domatic number of a given graph equals exactly a given integer. Note that DP is the second level of the boolean hierarchy over NP. We obtain similar results for the exact versions of generalized dominating set problems and of the conveyor flow shop problem. Our reductions apply Wagner's conditions sufficient to prove hardness for the levels of the boolean hierarchy over NP.

Includes members:
  Member "recognizing when heuristics can approximate minimum vertex covers is complete for parallel access to np":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the complexity of computing minimal unidirectional covering sets")
  Member "exact complexity of the winner problem for young elections":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "incomplete preferences in single peaked electorates")
  Member "exact complexity of exact four colorability":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "complexity of stability")
  Member "raising np lower bounds to parallel np lower bounds":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "computational social choice and computational complexity bffs")
  Member "unambiguous computation boolean hierarchies and sparse turing complete sets":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "exact complexity of exact four colorability")
  Member "exact analysis of dodgson elections lewis carroll s 1876 voting system is complete for parallel access to np":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "incomplete preferences in single peaked electorates")

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)