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: "constant rank bimatrix games are ppad hard"
  Abstract: The rank of a bimatrix game (A,B) is defined as rank(A+B). Computing a Nash equilibrium (NE) of a rank-$0$, i.e., zero-sum game is equivalent to linear programming (von Neumann'28, Dantzig'51). In 2005, Kannan and Theobald gave an FPTAS for constant rank games, and asked if there exists a polynomial time algorithm to compute an exact NE. Adsul et al. (2011) answered this question affirmatively for rank-$1$ games, leaving rank-2 and beyond unresolved. #R##N#In this paper we show that NE computation in games with rank $\ge 3$, is PPAD-hard, settling a decade long open problem. Interestingly, this is the first instance that a problem with an FPTAS turns out to be PPAD-hard. Our reduction bypasses graphical games and game gadgets, and provides a simpler proof of PPAD-hardness for NE computation in bimatrix games. In addition, we get: #R##N#* An equivalence between 2D-Linear-FIXP and PPAD, improving a result by Etessami and Yannakakis (2007) on equivalence between Linear-FIXP and PPAD. #R##N#* NE computation in a bimatrix game with convex set of Nash equilibria is as hard as solving a simple stochastic game. #R##N#* Computing a symmetric NE of a symmetric bimatrix game with rank $\ge 6$ is PPAD-hard. #R##N#* Computing a (1/poly(n))-approximate fixed-point of a (Linear-FIXP) piecewise-linear function is PPAD-hard. #R##N#The status of rank-$2$ games remains unresolved.

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"
    - "hardness results for consensus halving"
    - "recognition and complexity of point visibility graphs"
    - "a discrete and bounded envy free cake cutting protocol for four agents"

Connected through hyperedge HE-3 (induced by source paper "multi agent learning in network zero sum games is a hamiltonian system"):
  with members:
    - "introduction to online convex optimization"
    - "the mechanics of n player differentiable games"
    - "cycles in adversarial regularized learning"
    - "training gans with optimism"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "inapproximability of nash equilibrium"
    - "settling the complexity of computing two player nash equilibria"

Connected through hyperedge HE-4 (induced by source paper "on the computation of strategically equivalent rank 0 games"):
  with members:
    - "settling the complexity of computing two player nash equilibria"
    - "games of fixed rank a hierarchy of bimatrix games"

Connected through hyperedge HE-5 (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-6 (induced by source paper "smoothed efficient algorithms and reductions for network coordination games"):
  with members:
    - "improving the smoothed complexity of flip for max cut problems"
    - "near optimal communication lower bounds for approximate nash equilibria"
    - "efficient local search in coordination games on graphs"
    - "settling the complexity of computing approximate two player nash equilibria"
    - "communication complexity of approximate nash equilibria"
    - "the price of anarchy in auctions"
    - "inapproximability of nash equilibrium"
    - "reducibility among fractional stability problems"

Connected through hyperedge HE-7 (induced by source paper "nash equilibrium in smoothed polynomial time for network coordination games"):
  with members:
    - "near optimal communication lower bounds for approximate nash equilibria"
    - "local max cut in smoothed polynomial time"
    - "an empirical study on computing equilibria in polymatrix games"
    - "communication complexity of approximate nash equilibria"
    - "inapproximability of nash equilibrium"
    - "query complexity of approximate nash equilibria"
    - "bilinear games polynomial time algorithms for rank based subclasses"
    - "an experimental analysis of lemke howson algorithm"

Connected through hyperedge HE-8 (induced by source paper "unique end of potential line"):
  with members:
    - "end of potential line"
    - "arrival next stop in cls"
    - "cls new problems and completeness"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "the complexity of all switches strategy improvement"
    - "the complexity of interior point methods for solving discounted turn based stochastic games"
    - "settling the complexity of computing two player nash equilibria"

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)