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: "sparsification upper and lower bounds for graph problems and not all equal sat"
  Abstract: We present several sparsification lower and upper bounds for classic problems in graph theory and logic. For the problems 4-Coloring, (Directed) Hamiltonian Cycle, and (Connected) Dominating Set, we prove that there is no polynomial-time algorithm that reduces any n-vertex input to an equivalent instance, of an arbitrary problem, with bitsize O(n^{2-e}) for e > 0, unless NP is in coNP/poly and the polynomial-time hierarchy collapses. These results imply that existing linear-vertex kernels for k-Nonblocker and k-Max Leaf Spanning Tree (the parametric duals of (Connected) Dominating Set) cannot be improved to have O(k^{2-e}) edges, unless NP is in coNP/poly. We also present a positive result and exhibit a non-trivial sparsification algorithm for d-Not-All-Equal SAT. We give an algorithm that reduces an n-variable input with clauses of size at most d to an equivalent input with O(n^{d-1}) clauses, for any fixed d. Our algorithm is based on a linear-algebraic proof of Lovasz that bounds the number of hyperedges in critically 3-chromatic d-uniform n-vertex hypergraphs by n choose d-1. We show that our kernel is tight under the assumption that NP is not a subset of coNP/poly.

Connected through hyperedge HE-1 (induced by source paper "optimal polynomial time compression for boolean max csp"):
  with members:
    - "a dichotomy theorem for nonuniform csps"
    - "kernelization of constraint satisfaction problems a study through universal algebra"
    - "the proof of csp dichotomy conjecture"
    - "tight hardness for shortest cycles and paths in sparse graphs"
    - "complexity of counting csp with complex weights"
    - "preprocessing of min ones problems a dichotomy"
    - "the approximability of max csp with fixed value constraints"

Connected through hyperedge HE-2 (induced by source paper "parameterized pre coloring extension and list coloring problems"):
  with members:
    - "the set cover conjecture and subgraph isomorphism with a tree pattern"
    - "on problems as hard as cnf sat"
    - "abusing the tutte matrix an algebraic instance compression for the k set cycle problem"
    - "kernel bounds for path and cycle problems"
    - "solving max r sat above a tight lower bound"

Connected through hyperedge HE-3 (induced by source paper "optimal data reduction for graph coloring using low degree polynomials"):
  with members:
    - "smaller parameters for vertex cover kernelization"
    - "fine grained parameterized complexity analysis of graph coloring problems"
    - "optimal sparsification for some binary csps using low degree polynomials"
    - "how much does a treedepth modulator help to obtain polynomial kernels beyond sparse graphs"
    - "point line cover the easy kernel is essentially tight"
    - "data reduction for graph coloring problems"
    - "list h coloring a graph by removing few vertices"
    - "kernelization lower bounds by cross composition"

Connected through hyperedge HE-4 (induced by source paper "best case and worst case sparsifiability of boolean csps"):
  with members:
    - "optimal data reduction for graph coloring using low degree polynomials"
    - "which np hard sat and csp problems admit exponentially improved algorithms"
    - "kernelization of constraint satisfaction problems a study through universal algebra"
    - "optimal sparsification for some binary csps using low degree polynomials"
    - "point line cover the easy kernel is essentially tight"
    - "on sparsification for computing treewidth"
    - "weak bases of boolean co clones"
    - "kernelization lower bounds by cross composition"

Connected through hyperedge HE-5 (induced by source paper "the polynomial hierarchy collapses"):
  with members:
    - "optimal sparsification for some binary csps using low degree polynomials"

Connected through hyperedge HE-6 (induced by source paper "kernelization of constraint satisfaction problems a study through universal algebra"):
  with members:
    - "on the hardness of losing weight"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "optimal sparsification for some binary csps using low degree polynomials"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "preprocessing of min ones problems a dichotomy"

Connected through hyperedge HE-7 (induced by source paper "optimal sparsification for some binary csps using low degree polynomials"):
  with members:
    - "optimal data reduction for graph coloring using low degree polynomials"
    - "best case and worst case sparsifiability of boolean csps"
    - "kernelization of constraint satisfaction problems a study through universal algebra"
    - "complexity and approximability of parameterized max csps"
    - "nonclassical polynomials as a barrier to polynomial lower bounds"
    - "on sparsification for computing treewidth"
    - "kernelization lower bounds by cross composition"
    - "constraint satisfaction parameterized by solution size"

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)