human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "hardness results for consensus halving"
  Abstract: We study the consensus-halving problem of dividing an object into two portions, such that each of $n$ agents has equal valuation for the two portions. The $\epsilon$-approximate consensus-halving problem allows each agent to have an $\epsilon$ discrepancy on the values of the portions. We prove that computing $\epsilon$-approximate consensus-halving solution using $n$ cuts is in PPA, and is PPAD-hard, where $\epsilon$ is some positive constant; the problem remains PPAD-hard when we allow a constant number of additional cuts. It is NP-hard to decide whether a solution with $n-1$ cuts exists for the problem. As a corollary of our results, we obtain that the approximate computational version of the Continuous Necklace Splitting Problem is PPAD-hard when the number of portions $t$ is two.

Connected through hyperedge HE-1 (induced by source paper "consenus halving does it ever get easier"):
  with members:
    - "the hairy ball problem is ppad complete"
    - "computing exact solutions of consensus halving and the borsuk ulam theorem"
    - "on the complexity of modulo q arguments and the chevalley warning theorem"
    - "fair and efficient cake division with connected pieces"
    - "the classes ppa k existence from arguments modulo k"
    - "the complexity of splitting necklaces and bisecting ham sandwiches"
    - "consensus halving is ppa complete"
    - "a discrete and bounded envy free cake cutting protocol for any number of agents"

Connected through hyperedge HE-2 (induced by source paper "computing exact solutions of consensus halving and the borsuk ulam theorem"):
  with members:
    - "approximating the existential theory of the reals"
    - "the complexity of splitting necklaces and bisecting ham sandwiches"
    - "an improved envy free cake cutting protocol for four agents"
    - "consensus halving is ppa complete"
    - "a discrete and bounded envy free cake cutting protocol for any number of agents"
    - "recognition and complexity of point visibility graphs"
    - "a discrete and bounded envy free cake cutting protocol for four agents"
    - "inapproximability of nash equilibrium"

Connected through hyperedge HE-3 (induced by source paper "the complexity of splitting necklaces and bisecting ham sandwiches"):
  with members:
    - "end of potential line"
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "computational social choice and computational complexity bffs"
    - "consensus halving is ppa complete"
    - "integer factoring and modular square roots"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "on the complexity of nash equilibria in anonymous games"
    - "inapproximability of nash equilibrium"

Connected through hyperedge HE-4 (induced by source paper "consensus halving is ppa complete"):
  with members:
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "computational social choice and computational complexity bffs"
    - "integer factoring and modular square roots"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "on the complexity of nash equilibria in anonymous games"
    - "inapproximability of nash equilibrium"
    - "on the complexity of finding falsifying assignments for herbrand disjunctions"
    - "constant rank bimatrix games are ppad hard"

Connected through hyperedge HE-5 (induced by source paper "communication complexity of cake cutting"):
  with members:
    - "consensus halving is ppa complete"
    - "the query complexity of cake cutting"
    - "combinatorial auctions do need modest interaction"
    - "a discrete and bounded envy free cake cutting protocol for any number of agents"
    - "waste makes haste bounded time algorithms for envy free cake cutting with free disposal"
    - "communication complexity for algorithm designers"
    - "welfare maximization with limited interaction"
    - "a stable marriage requires communication"

Question: Please tell me which class the center node 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.GT(Computer Science and Game Theory)