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 "the hairy ball problem is ppad complete"):
  Abstract: The Hairy Ball Theorem states that every continuous tangent vector field on an even-dimensional sphere must have a zero. We prove that the associated computational problem of computing an approximate zero is PPAD-complete. We also give a FIXP-hardness result for the general exact computation problem. #R##N#In order to show that this problem lies in PPAD, we provide new results on multiple-source variants of END-OF-LINE, the canonical PPAD-complete problem. In particular, finding an approximate zero of a Hairy Ball vector field on an even-dimensional sphere reduces to a 2-source END-OF-LINE problem. If the domain is changed to be the torus of genus $g \geq 2$ instead (where the Hairy Ball Theorem also holds), then the problem reduces to a $2(g-1)$-source END-OF-LINE problem. #R##N#These multiple-source END-OF-LINE results are of independent interest and provide new tools for showing membership in PPAD. In particular, we use them to provide the first full proof of PPAD-completeness for the IMBALANCE problem defined by Beame et al. in 1998.

Includes members:
  Member "end of potential line":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "tarski s theorem supermodular games and the complexity of equilibria")
  Member "the complexity of splitting necklaces and bisecting ham sandwiches":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "consenus halving does it ever get easier")
  Member "consensus halving is ppa complete":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "consenus halving does it ever get easier")
  Member "on the complexity of envy free cake cutting":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the complexity of splitting necklaces and bisecting ham sandwiches")
  Member "reducibility among fractional stability problems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the classes ppa k existence from arguments modulo k")
  Member "settling the complexity of computing two player nash equilibria":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "learning zero sum simultaneous move markov games using function approximation and correlated equilibrium")

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)