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: "settling the complexity of arrow debreu equilibria in markets with additively separable utilities"
  Abstract: We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility functions. In fact, our proof shows that this market-equilibrium problem does not have a fully polynomial-time approximation scheme unless every problem in PPAD is solvable in polynomial time.

Connected through hyperedge HE-1 (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"
    - "the complexity of non monotone markets"

Connected through hyperedge HE-2 (induced by source paper "proportional dynamics in exchange economies"):
  with members:
    - "an alternating algorithm for finding linear arrow debreu market equilibrium"
    - "universal growth in production economies"
    - "a strongly polynomial algorithm for linear exchange markets"
    - "tracing equilibrium in dynamic markets via distributed adaptation"
    - "dynamics of distributed updating in fisher markets"
    - "selling complementary goods dynamics efficiency and revenue"
    - "best response dynamics in combinatorial auctions with item bidding"
    - "the price of anarchy in auctions"

Connected through hyperedge HE-3 (induced by source paper "algorithms for competitive division of chores"):
  with members:
    - "fair division with minimal sharing"
    - "strategyproof and approximately maxmin fair share allocation of chores"
    - "universal growth in production economies"
    - "fair allocation of combinations of indivisible goods and chores"
    - "on the proximity of markets with integral equilibria"
    - "competitive division of a mixed manna"
    - "approximation algorithms for computing maximin share allocations"
    - "almost envy freeness with general valuations"

Connected through hyperedge HE-4 (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"
    - "the complexity of non monotone markets"

Connected through hyperedge HE-5 (induced by source paper "auction algorithms for market equilibrium with weak gross substitute demands"):
  with members:
    - "on fair division of indivisible items"
    - "finding fair and efficient allocations"
    - "convex program duality fisher markets and nash social welfare"
    - "nash social welfare for indivisible items under separable piecewise linear concave utilities"
    - "nash social welfare matrix permanent and stable polynomials"
    - "ascending price algorithms for unknown markets"
    - "convergence of tâtonnement in fisher markets"
    - "tatonnement in ongoing markets of complementary goods"

Connected through hyperedge HE-6 (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"
    - "the complexity of non monotone markets"
    - "a combinatorial polynomial algorithm for the linear arrow debreu market"

Connected through hyperedge HE-7 (induced by source paper "an alternating algorithm for finding linear arrow debreu market equilibrium"):
  with members:
    - "generalized mirror descents in congestion games"
    - "a rational convex program for linear arrow debreu markets"

Connected through hyperedge HE-8 (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"

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)