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: "communication complexity lower bounds by polynomials"
  Abstract: The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPR-pairs). Some lower bound techniques are available for qubit communication complexity, but except for the inner product function, no bounds are known for the model with unlimited prior entanglement. We show that the log-rank lower bound extends to the strongest model (qubit communication + unlimited prior entanglement). By relating the rank of the communication matrix to properties of polynomials, we are able to derive some strong bounds for exact protocols. In particular, we prove both the "log-rank conjecture" and the polynomial equivalence of quantum and classical communication complexity for various classes of functions. We also derive some weaker bounds for bounded-error quantum protocols.

Connected through hyperedge HE-1 (induced by source paper "sensitivity affine transforms and quantum communication complexity"):
  with members:
    - "sensitivity conjecture and log rank conjecture for functions with small alternating numbers"
    - "degree and sensitivity tails of two distributions"
    - "analysis of boolean functions"
    - "on the parity complexity measures of boolean functions"
    - "variations on the sensitivity conjecture"
    - "on quantum classical equivalence for composed communication problems"
    - "on the communication complexity of xor functions"

Connected through hyperedge HE-2 (induced by source paper "quantum communication query tradeoffs"):
  with members:
    - "query to communication lifting for bpp"
    - "lifting randomized query complexity to randomized communication complexity"
    - "a discrepancy lower bound for information complexity"
    - "an approximation algorithm for approximation rank"

Connected through hyperedge HE-3 (induced by source paper "sensitivity conjecture and log rank conjecture for functions with small alternating numbers"):
  with members:
    - "smooth boolean functions are easy efficient algorithms for low sensitivity functions"
    - "sensitivity versus certificate complexity of boolean functions"
    - "size of sets with small sensitivity a generalization of simon s lemma"
    - "parity decision tree complexity and 4 party communication complexity of xor functions are polynomially equivalent"
    - "tighter relations between sensitivity and other complexity measures"
    - "learning circuits with few negations"
    - "a composition theorem for parity kill number"
    - "communication is bounded by root of rank"

Connected through hyperedge HE-4 (induced by source paper "probabilistic rank and matrix rigidity"):
  with members:
    - "polynomial representations of threshold functions and algorithmic applications"
    - "super linear gate and super quadratic wire lower bounds for depth two and depth three threshold circuits"
    - "probabilistic polynomials and hamming nearest neighbors"
    - "using elimination theory to construct rigid matrices"
    - "faster all pairs shortest paths via circuit complexity"
    - "three lines proof of the lower bound for the matrix rigidity"

Connected through hyperedge HE-5 (induced by source paper "communication complexity of permutation invariant functions"):
  with members:
    - "on the role of shared randomness in simultaneous communication"
    - "information complexity is computable"
    - "communication with imperfectly shared randomness"
    - "on the communication complexity of sparse set disjointness and exists equal problems"
    - "lower bounds on information complexity via zero communication protocols and applications"
    - "on extracting common random bits from correlated sources on large alphabets"
    - "an optimal lower bound on the communication complexity of gap hamming distance"
    - "on extracting common random bits from correlated sources"

Connected through hyperedge HE-6 (induced by source paper "the corruption bound log rank and communication complexity"):
  with members:
    - "communication is bounded by root of rank"
    - "lower bounds on information complexity via zero communication protocols and applications"
    - "the partition bound for classical communication complexity and query complexity"
    - "rectangle size bounds and threshold covers in communication complexity"

Connected through hyperedge HE-7 (induced by source paper "efficient quantum protocols for xor functions"):
  with members:
    - "fourier sparsity spectral norm and the log rank conjecture"
    - "tight bounds on communication complexity of symmetric xor functions in one way and smp models"
    - "on the parity complexity measures of boolean functions"
    - "an optimal lower bound on the communication complexity of gap hamming distance"
    - "on the communication complexity of xor functions"

Connected through hyperedge HE-8 (induced by source paper "tensor rank and strong quantum nondeterminism in multiparty communication"):
  with members:
    - "tensor rank some lower and upper bounds"
    - "a separation of np and conp in multiparty communication complexity"
    - "disjointness is hard in the multi party number on the forehead model"
    - "nondeterministic quantum query and quantum communication complexities"

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)