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 power of linear programming for valued csps"
  Abstract: A class of valued constraint satisfaction problems (VCSPs) is characterised by a valued constraint language, a fixed set of cost functions on a finite domain. An instance of the problem is specified by a sum of cost functions from the language with the goal to minimise the sum. This framework includes and generalises well-studied constraint satisfaction problems (CSPs) and maximum constraint satisfaction problems (Max-CSPs). Our main result is a precise algebraic characterisation of valued constraint languages whose instances can be solved exactly by the basic linear programming relaxation. Using this result, we obtain tractability of several novel and previously widely-open classes of VCSPs, including problems over valued constraint languages that are: (1) sub modular on arbitrary lattices, (2) bisubmodular (also known as k-sub modular) on arbitrary finite domains, (3) weakly (and hence strongly) tree-sub modular on arbitrary trees.

Connected through hyperedge HE-1 (induced by source paper "piecewise linear valued csps solvable by linear programming relaxation"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "algebraic properties of valued constraint satisfaction problem"
    - "the complexity of general valued csps"
    - "tropically convex constraint satisfaction"
    - "min csp on four elements moving beyond submodularity"
    - "constraint satisfaction tractability from semi lattice operations on infinite sets"

Connected through hyperedge HE-2 (induced by source paper "the complexity of general valued csps seen from the other side"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "algebraic properties of valued constraint satisfaction problem"
    - "extended formulation for csp that is compact for instances of bounded treewidth"
    - "the complexity of general valued csps"
    - "a trichotomy in the complexity of counting answers to conjunctive queries"
    - "tractable optimization problems through hypergraph based structural restrictions"
    - "tractable hypergraph properties for constraint satisfaction and conjunctive queries"

Connected through hyperedge HE-3 (induced by source paper "the complexity of finite valued csps"):
  with members:
    - "an algebraic theory of complexity for discrete optimization"
    - "the complexity of conservative valued csps"
    - "the power of linear programming for general valued csps"
    - "computational complexity of the minimum cost homomorphism problem on three element domains"
    - "tractable triangles and cross free convexity in discrete optimisation"
    - "an effective fusion technique of cloud computing and networking series"
    - "tractable optimization problems through hypergraph based structural restrictions"
    - "the power of linear programming for valued csps a constructive characterization"

Connected through hyperedge HE-4 (induced by source paper "towards a characterization of constant factor approximable finite valued csps"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "the complexity of finite valued csps"
    - "asking the metaquestions in constraint tractability"
    - "robust algorithms with polynomial loss for near unanimity csps"
    - "combinatorial optimization algorithms via polymorphisms"
    - "the complexity of general valued csps"
    - "local distribution and the symmetry gap approximability of multiway partitioning problems"

Connected through hyperedge HE-5 (induced by source paper "a galois connection for weighted relational clones of infinite size"):
  with members:
    - "the power of sherali adams relaxations for general valued csps"
    - "the complexity of finite valued csps"
    - "necessary conditions for tractability of valued csps"
    - "algebraic properties of valued constraint satisfaction problem"
    - "the complexity of general valued csps"
    - "sherali adams relaxations for valued csps"
    - "an algebraic theory of complexity for discrete optimization"
    - "the complexity of conservative valued csps"

Connected through hyperedge HE-6 (induced by source paper "complexity of discrete energy minimization problems"):
  with members:
    - "maximum persistency via iterative relaxed inference with graphical models"
    - "a comparative study of modern inference techniques for structured discrete energy minimization problems"
    - "efficiently searching for frustrated cycles in map inference"
    - "the power of linear programming for valued csps a constructive characterization"
    - "curvature prior for mrf based segmentation and shape inpainting"
    - "minimizing a sum of submodular functions"
    - "the expressive power of binary submodular functions"

Connected through hyperedge HE-7 (induced by source paper "testing assignments to constraint satisfaction problems"):
  with members:
    - "sherali adams relaxations for valued csps"
    - "approximate constraint satisfaction requires large lp relaxations"
    - "generic expression hardness results for primitive positive formula comparison"
    - "testing list h homomorphisms"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "the complexity of global cardinality constraints"

Connected through hyperedge HE-8 (induced by source paper "maximizing k submodular functions and beyond"):
  with members:
    - "half integrality lp branching and fpt algorithms"
    - "towards minimizing k submodular functions"
    - "symmetry and approximability of submodular maximization problems"

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)