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: "the complexity of non monotone markets"
  Abstract: We introduce the notion of non-monotone utilities, which covers a wide variety of utility functions in economic theory. We then prove that it is PPAD-hard to compute an approximate Arrow-Debreu market equilibrium in markets with linear and non-monotone utilities. Building on this result, we settle the long-standing open problem regarding the computation of an approximate Arrow-Debreu market equilibrium in markets with CES utility functions, by proving that it is PPAD-complete when the Constant Elasticity of Substitution parameter \rho is any constant less than -1.

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 "the complexity of interactively learning a stable matching by trial and error"):
  with members:
    - "a general framework for robust interactive learning"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "deterministic and probabilistic binary search in graphs"
    - "inapproximability of nash equilibrium"
    - "a stable marriage requires communication"
    - "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"

Connected through hyperedge HE-3 (induced by source paper "the classes ppa k existence from arguments modulo k"):
  with members:
    - "the hairy ball problem is ppad complete"
    - "the complexity of splitting necklaces and bisecting ham sandwiches"
    - "ppp completeness with connections to cryptography"
    - "unique end of potential line"
    - "consensus halving is ppa complete"
    - "integer factoring and modular square roots"
    - "on the complexity of finding falsifying assignments for herbrand disjunctions"
    - "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"

Connected through hyperedge HE-4 (induced by source paper "balancing the robustness and convergence of tatonnement"):
  with members:
    - "a strongly polynomial algorithm for linear exchange markets"
    - "tracing equilibrium in dynamic markets via distributed adaptation"
    - "amortized analysis of asynchronous price dynamics"
    - "dynamics of distributed updating in fisher markets"
    - "tatonnement in ongoing markets of complementary goods"
    - "a combinatorial polynomial algorithm for the linear arrow debreu market"
    - "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"

Connected through hyperedge HE-5 (induced by source paper "ppp completeness with connections to cryptography"):
  with members:
    - "on the polynomial parity argument complexity of the combinatorial nullstellensatz"
    - "consensus halving is ppa complete"
    - "cls new problems and completeness"
    - "a converse to banach s fixed point theorem and its cls completeness"
    - "local max cut in smoothed polynomial time"
    - "integer factoring and modular square roots"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "number balancing is as hard as minkowski s theorem and shortest vector"

Connected through hyperedge HE-6 (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"
    - "hardness results for consensus halving"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "on the complexity of nash equilibria in anonymous games"

Connected through hyperedge HE-7 (induced by source paper "dynamics of distributed updating in fisher markets"):
  with members:
    - "convex program duality fisher markets and nash social welfare"
    - "optimization learning and games with predictable sequences"
    - "tatonnement in ongoing markets of complementary goods"
    - "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"
    - "spending is not easier than trading on the computational equivalence of fisher and arrow debreu equilibria"
    - "settling the complexity of computing two player nash equilibria"

Connected through hyperedge HE-8 (induced by source paper "a market based framework for multi resource allocation in fog computing"):
  with members:
    - "price based resource allocation for edge computing a market equilibrium approach"
    - "a survey on mobile edge computing the communication perspective"
    - "nash social welfare approximation for strategic agents"
    - "fair allocation without trade"
    - "nash equilibria in fisher market"

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.CC(Computational Complexity)