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: "local distribution and the symmetry gap approximability of multiway partitioning problems"
  Abstract: We study the approximability of multiway partitioning problems, examples of which include Multiway Cut, Node-weighted Multiway Cut, and Hypergraph Multiway Cut. We investigate these problems from the point of view of two possible generalizations: as Min-CSPs, and as Submodular Multiway Partition problems. These two generalizations lead to two natural relaxations, the Basic LP, and the Lovasz relaxation. We show that the Lovasz relaxation gives a (2-2/k)-approximation for Submodular Multiway Partition with $k$ terminals, improving a recent 2-approximation. We prove that this factor is optimal in two senses: (1) A (2-2/k-\epsilon)-approximation for Submodular Multiway Partition with k terminals would require exponentially many value queries. (2) For Hypergraph Multiway Cut and Node-weighted Multiway Cut with k terminals, both special cases of Submodular Multiway Partition, we prove that a (2-2/k-\epsilon)-approximation is NP-hard, assuming the Unique Games Conjecture. #R##N#Both our hardness results are more general: (1) We show that the notion of symmetry gap, previously used for submodular maximization problems, also implies hardness results for submodular minimization problems. (2) Assuming the Unique Games Conjecture, we show that the Basic LP gives an optimal approximation for every Min-CSP that includes the Not-Equal predicate. #R##N#Finally, we connect the two hardness techniques by proving that the integrality gap of the Basic LP coincides with the symmetry gap of the multilinear relaxation (for a related instance). This shows that the appearance of the same hardness threshold for a Min-CSP and the related submodular minimization problem is not a coincidence.

Connected through hyperedge HE-1 (induced by source paper "optimizing item and subgroup configurations for social aware vr shopping"):
  with members:
    - "solving linear programs in the current matrix multiplication time"
    - "neural collaborative filtering"
    - "spmc socially aware personalized markov chains for sparse sequential recommendation"
    - "a multilayer network dataset of interaction and influence spreading in a virtual world"
    - "almost polynomial ratio eth hardness of approximating densest k subgraph"
    - "submodular and supermodular multi labeling and vertex happiness"
    - "vbpr visual bayesian personalized ranking from implicit feedback"
    - "from group recommendations to group formation"

Connected through hyperedge HE-2 (induced by source paper "hypergraph cuts with general splitting functions"):
  with members:
    - "nonlinearity networks a 2020 vision"
    - "three hypergraph eigenvector centralities"
    - "simplicial closure and higher order link prediction"
    - "network flow based refinement for multilevel hypergraph partitioning"
    - "hypergraph partitioning for sparse matrix matrix multiplication"
    - "higher order organization of complex networks"
    - "a simple and strongly local flow based method for cut improvement"
    - "simple and fast rounding algorithms for directed and node weighted multiway cut"

Connected through hyperedge HE-3 (induced by source paper "toward a dichotomy for approximation of h coloring"):
  with members:
    - "interval like graphs and digraphs"
    - "binarisation for valued constraint satisfaction problems"
    - "towards a characterization of constant factor approximable finite valued csps"
    - "bi arc digraphs and conservative polymorphisms"
    - "the complexity of general valued csps"
    - "conservative constraint satisfaction re revisited"
    - "computational complexity of the minimum cost homomorphism problem on three element domains"
    - "the dichotomy of list homomorphisms for digraphs"

Connected through hyperedge HE-4 (induced by source paper "improved approximation algorithms for inventory problems"):
  with members:
    - "approximation algorithms for inventory problems with submodular or routing costs"
    - "approximation algorithms for submodular multiway partition"
    - "submodular cost allocation problem and applications"

Connected through hyperedge HE-5 (induced by source paper "the power of sherali adams relaxations for general valued csps"):
  with members:
    - "binarisation for valued constraint satisfaction problems"
    - "algebraic properties of valued constraint satisfaction problem"
    - "a reduction from valued csp to min cost homomorphism problem for digraphs"
    - "the complexity of general valued csps"
    - "robustly solvable constraint satisfaction problems"
    - "sum of squares proofs and the quest toward optimal algorithms"
    - "half integrality lp branching and fpt algorithms"
    - "approximate constraint satisfaction requires large lp relaxations"

Connected through hyperedge HE-6 (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"
    - "robustly solvable constraint satisfaction problems"

Connected through hyperedge HE-7 (induced by source paper "improved hardness for cut interdiction and firefighter problems"):
  with members:
    - "new integrality gap results for the firefighters problem on trees"
    - "firefighting on trees beyond integrality gaps"
    - "fractals for kernelization lower bounds"
    - "interdiction problems on planar graphs"
    - "hardness of vertex deletion and project scheduling"

Connected through hyperedge HE-8 (induced by source paper "approximating multicut and the demand graph"):
  with members:
    - "multiway cut pairwise realizable distributions and descending thresholds"

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.DS(Data Structures and Algorithms)