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: "conditional hardness for approximate coloring"
  Abstract: We study the coloring problem: Given a graph G, decide whether $c(G) \leq q$ or $c(G) \ge Q$, where c(G) is the chromatic number of G. We derive conditional hardness for this problem for any constant $3 \le q < Q$. For $q\ge 4$, our result is based on Khot's 2-to-1 conjecture [Khot'02]. For $q=3$, we base our hardness result on a certain `fish shaped' variant of his conjecture. #R##N#We also prove that the problem almost coloring is hard for any constant $\eps>0$, assuming Khot's Unique Games conjecture. This is the problem of deciding for a given graph, between the case where one can 3-color all but a $\eps$ fraction of the vertices without monochromatic edges, and the case where the graph contains no independent set of relative size at least $\eps$. #R##N#Our result is based on bounding various generalized noise-stability quantities using the invariance principle of Mossel et al [MOO'05].

Connected through hyperedge HE-1 (induced by source paper "the generalized orthogonality dimension of generalized kneser graphs bounds and applications"):
  with members:
    - "improved hardness for h colourings of g colourable graphs"
    - "approximating the orthogonality dimension of graphs and hypergraphs"
    - "on a fractional version of haemers bound"
    - "algebraic approach to promise constraint satisfaction"
    - "on minrank and forbidden subgraphs"
    - "matrix rigidity and the croot lev pach lemma"
    - "probabilistic rank and matrix rigidity"
    - "linear index coding via semidefinite programming"

Connected through hyperedge HE-2 (induced by source paper "low rank approximation from communication complexity"):
  with members:
    - "on the complexity of robust pca and l1 norm low rank matrix approximation"
    - "parameterized low rank binary matrix approximation"
    - "relative error tensor low rank approximation"
    - "tensor robust principal component analysis exact recovery of corrupted low rank tensors via convex optimization"
    - "low rank passthrough neural networks"
    - "greedy bi criteria approximations for k medians and k means"
    - "computing approximate psd factorizations"
    - "input sparsity and hardness for robust subspace approximation"

Connected through hyperedge HE-3 (induced by source paper "improved hardness for h colourings of g colourable graphs"):
  with members:
    - "the complexity of 3 colouring h colourable graphs"
    - "simplified inpproximability of hypergraph coloring via t agreeing families"
    - "dichotomy for symmetric boolean pcsps"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"
    - "robustly solvable constraint satisfaction problems"

Connected through hyperedge HE-4 (induced by source paper "the complexity of 3 colouring h colourable graphs"):
  with members:
    - "improved hardness for h colourings of g colourable graphs"
    - "simplified inpproximability of hypergraph coloring via t agreeing families"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "robustly solvable constraint satisfaction problems"

Connected through hyperedge HE-5 (induced by source paper "global cardinality constraints make approximating some max 2 csps harder"):
  with members:
    - "resolution lower bounds for refutation statements"
    - "a note on max k vertex cover faster fpt as smaller approximate kernel and improved approximation"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "analysis of boolean functions"
    - "better balance by being biased a 0 8776 approximation for max bisection"
    - "approximating csps with global cardinality constraints using sdp hierarchies"
    - "the complexity of global cardinality constraints"

Connected through hyperedge HE-6 (induced by source paper "approximating the orthogonality dimension of graphs and hypergraphs"):
  with members:
    - "on a fractional version of haemers bound"
    - "algebraic approach to promise constraint satisfaction"
    - "linear index coding via semidefinite programming"
    - "coloring k colorable graphs using relatively small palettes"
    - "approximate graph coloring by semidefinite programming"

Connected through hyperedge HE-7 (induced by source paper "algebraic approach to promise constraint satisfaction"):
  with members:
    - "topology is relevant in a dichotomy conjecture for infinite domain constraint satisfaction problems"
    - "promises make finite constraint satisfaction problems infinitary"
    - "dichotomy for symmetric boolean pcsps"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "super polylogarithmic hypergraph coloring hardness via low degree long codes"
    - "promise constraint satisfaction algebraic structure and a symmetric boolean dichotomy"
    - "a dichotomy theorem for nonuniform csps"

Connected through hyperedge HE-8 (induced by source paper "on percolation and np hardness"):
  with members:
    - "on independent sets in random graphs"
    - "improved hardness of approximating chromatic number"
    - "recoverable values for independent sets"
    - "computational transition at the uniqueness threshold"
    - "subsampling mathematical relaxations and average case complexity"
    - "smoothed analysis of algorithms why the simplex algorithm usually takes polynomial time"

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)