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 "the limits of sdp relaxations for general valued csps"):
  Abstract: It has been shown that for a general-valued constraint language $\Gamma$ the following statements are equivalent: (1) any instance of $\operatorname{VCSP}(\Gamma)$ can be solved to optimality using a constant level of the Sherali-Adams LP hierarchy; (2) any instance of $\operatorname{VCSP}(\Gamma)$ can be solved to optimality using the third level of the Sherali-Adams LP hierarchy; (3) the support of $\Gamma$ satisfies the "bounded width condition", i.e., it contains weak near-unanimity operations of all arities. #R##N#We show that if the support of $\Gamma$ violates the bounded with condition then not only is $\operatorname{VCSP}(\Gamma)$ not solved by a constant level of the Sherali-Adams LP hierarchy but it is also not solved by $\Omega(n)$ levels of the Lasserre SDP hierarchy (also known as the sum-of-squares SDP hierarchy). For $\Gamma$ corresponding to linear equations in an Abelian group, this result follows from existing work on inapproximability of Max-CSPs. By a breakthrough result of Lee, Raghavendra, and Steurer [STOC'15], our result implies that for any $\Gamma$ whose support violates the bounded width condition no SDP relaxation of polynomial-size solves $\operatorname{VCSP}(\Gamma)$. #R##N#We establish our result by proving that various reductions preserve exact solvability by the Lasserre SDP hierarchy (up to a constant factor in the level of the hierarchy). Our results hold for general-valued constraint languages, i.e., sets of functions on a fixed finite domain that take on rational or infinite values, and thus also hold in notable special cases of $\{0,\infty\}$-valued languages (CSPs), $\{0,1\}$-valued languages (Min-CSPs/Max-CSPs), and $\mathbb{Q}$-valued languages (finite-valued CSPs).

Includes members:
  Member "the power of sherali adams relaxations for general valued csps":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "new dependencies of hierarchies in polynomial optimization")
  Member "the complexity of finite valued csps":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the complexity of boolean surjective general valued csps")
  Member "approximating rectangles by juntas and weakly exponential lower bounds for lp relaxations of csps":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "list decodable subspace recovery")
  Member "from weak to strong lp gaps for all csps":
    also connected through other hyperedges:
      (none)
  Member "algebraic properties of valued constraint satisfaction problem":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the complexity of boolean surjective general valued csps")
  Member "the complexity of general valued csps":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the complexity of boolean surjective general valued csps")
  Member "robustly solvable constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "improved hardness for h colourings of g colourable graphs")
  Member "lower bounds on the size of semidefinite programming relaxations":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "lifting with simple gadgets and applications to circuit and proof complexity")

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)