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 lower bounds using dual polynomials"
  Abstract: Representations of Boolean functions by real polynomials play an important role in complexity theory. Typically, one is interested in the least degree of a polynomial p(x_1,...,x_n) that approximates or sign-represents a given Boolean function f(x_1,...,x_n). This article surveys a new and growing body of work in communication complexity that centers around the dual objects, i.e., polynomials that certify the difficulty of approximating or sign-representing a given function. We provide a unified guide to the following results, complete with all the key proofs: #R##N#(1) Sherstov's Degree/Discrepancy Theorem, which translates lower bounds on the threshold degree of a Boolean function into upper bounds on the discrepancy of a related function; #R##N#(2) Two different methods for proving lower bounds on bounded-error communication based on the approximate degree: Sherstov's pattern matrix method and Shi and Zhu's block composition method; #R##N#(3) Extension of the pattern matrix method to the multiparty model, obtained by Lee and Shraibman and by Chattopadhyay and Ada, and the resulting improved lower bounds for DISJOINTNESS; #R##N#(4) David and Pitassi's separation of NP and BPP in multiparty communication complexity for k=(1-eps)log n players.

Connected through hyperedge HE-1 (induced by source paper "on the degree of boolean functions as polynomials over mathbb z _m"):
  with members:
    - "a tighter bound on the number of relevant variables in a bounded degree boolean function"
    - "strong direct product theorems for quantum communication and query complexity"
    - "on the communication complexity of xor functions"

Connected through hyperedge HE-2 (induced by source paper "a nearly optimal lower bound on the approximate degree of ac 0"):
  with members:
    - "on szk and pp"
    - "separations in query complexity based on pointer functions"
    - "dual polynomials for collision and element distinctness"
    - "distribution independent reliable learning"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "faster private release of marginals on small databases"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "faster algorithms for privately releasing marginals"

Connected through hyperedge HE-3 (induced by source paper "dual polynomials for collision and element distinctness"):
  with members:
    - "distribution independent reliable learning"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "faster private release of marginals on small databases"
    - "a note on the quantum collision and set equality problems"
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "a quantum lower bound for distinguishing random functions from random permutations"
    - "faster algorithms for privately releasing marginals"
    - "strong direct product theorems for quantum communication and query complexity"

Connected through hyperedge HE-4 (induced by source paper "weighted polynomial approximations limits for learning and pseudorandomness"):
  with members:
    - "pseudorandomness for concentration bounds and signed majorities"
    - "analysis of boolean functions"
    - "agnostic learning of disjunctions on symmetric distributions"
    - "approximate resilience monotonicity and the complexity of agnostic learning"
    - "pseudorandomness for regular branching programs via fourier analysis"
    - "the complexity of learning halfspaces using generalized linear methods"
    - "fooling functions of halfspaces under product distributions"
    - "a derandomized sparse johnson lindenstrauss transform"

Connected through hyperedge HE-5 (induced by source paper "hardness amplification and the approximate degree of constant depth circuits"):
  with members:
    - "distribution independent reliable learning"
    - "dual lower bounds for approximate degree and markov bernstein inequalities"
    - "on arthur merlin games in communication complexity"
    - "a separation of np and conp in multiparty communication complexity"
    - "strong direct product theorems for quantum communication and query complexity"
    - "the intersection of two halfspaces has high threshold degree"
    - "a note on the sign degree of formulas"
    - "optimal bounds for sign representing the intersection of two halfspaces by polynomials"

Connected through hyperedge HE-6 (induced by source paper "dual lower bounds for approximate degree and markov bernstein inequalities"):
  with members:
    - "hardness amplification and the approximate degree of constant depth circuits"
    - "open problems in analysis of boolean functions"
    - "a separation of np and conp in multiparty communication complexity"
    - "the intersection of two halfspaces has high threshold degree"
    - "multiparty communication complexity of disjointness"
    - "a dual polynomial for or"
    - "disjointness is hard in the multi party number on the forehead model"

Connected through hyperedge HE-7 (induced by source paper "lower bound on weights of large degree threshold functions"):
  with members:
    - "a regularity lemma and low weight approximators for low degree polynomial threshold functions"

Connected through hyperedge HE-8 (induced by source paper "strong direct product theorems for quantum communication and query complexity"):
  with members:
    - "improved direct product theorems for randomized query complexity"
    - "a strong direct product theorem for disjointness"
    - "a direct sum theorem in communication complexity via message compression"
    - "communication complexity lower bounds by polynomials"
    - "bounds for small error and zero error quantum algorithms"

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)