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 "node max cut and computing equilibria in linear weighted congestion games"):
  Abstract: Computing an equilibrium of a game is of central interest in Algorithmic Game Theory. We study the complexity of computing a PNE in Weighted Congestion Games with affine and linear delays, where O(1)-approximate Nash equilibria can be computed in polynomial time and the only known PLS-hardness results follow from those for unweighted Congestion Games. #R##N#We first show that it is PLS-complete to compute a PNE even in single-commodity Weighted Network Congestion Games on series-parallel networks with linear latencies, a result indicating that equilibrium computation for Weighted Congestion Games can be significantly more difficult than their unweighted counterparts. Note that for unweighted Congestion Games on single-commodity series parallel networks with general latency functions, a PNE can be computed by a simple greedy algorithm. For that reduction, we use exponential coefficients on the linear latency functions. To investigate the impact of weighted players only, we restrict the game so that the linear latencies can only have polynomial coefficients. We show that it is PLS-complete to compute a PNE in Weighted Network Congestion Games with all edges having the identity function. For the latter, none of the known PLS-complete problems seems as a natural initial problem for the reduction. Hence, we consider the problem of finding a maximal cut in NodeMaxCut, a natural special case of MaxCut where the weights of the edges are the product of the weights of their endpoints. Via an involved reduction, we show that NodeMaxCut is PLS-complete, so that we can use it as our initial problem. The result and the reduction themselves are of independent interest and they may have more implications in proving other complexity results related to PLS.

Includes members:
  Member "computing approximate pure nash equilibria in shapley value weighted congestion games":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "existence and complexity of approximate equilibria in weighted congestion games")
  Member "local max cut in smoothed polynomial time":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "smoothed complexity of local max cut and binary max csp")
  Member "efficient computation of approximate pure nash equilibria in congestion games":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "existence and complexity of approximate equilibria in weighted congestion games")
  Member "approximate pure nash equilibria in weighted congestion games existence efficient computation and structure":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "existence and complexity of approximate equilibria in weighted congestion games")

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)