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: "parity decision tree complexity and 4 party communication complexity of xor functions are polynomially equivalent"
  Abstract: In this note, we study the relation between the parity decision tree complexity of a boolean function $f$, denoted by $\mathrm{D}_{\oplus}(f)$, and the $k$-party number-in-hand multiparty communication complexity of the XOR functions $F(x_1,\ldots, x_k)= f(x_1\oplus\cdots\oplus x_k)$, denoted by $\mathrm{CC}^{(k)}(F)$. It is known that $\mathrm{CC}^{(k)}(F)\leq k\cdot\mathrm{D}_{\oplus}(f)$ because the players can simulate the parity decision tree that computes $f$. In this note, we show that \[\mathrm{D}_{\oplus}(f)\leq O\big(\mathrm{CC}^{(4)}(F)^5\big).\] Our main tool is a recent result from additive combinatorics due to Sanders. As $\mathrm{CC}^{(k)}(F)$ is non-decreasing as $k$ grows, the parity decision tree complexity of $f$ and the communication complexity of the corresponding $k$-argument XOR functions are polynomially equivalent whenever $k\geq 4$. #R##N#Remark: After the first version of this paper was finished, we discovered that Hatami and Lovett had already discovered the same result a few years ago, without writing it up.

Connected through hyperedge HE-1 (induced by source paper "optimality of linear sketching under modular updates"):
  with members:
    - "on estimating maximum matching size in graph streams"
    - "densest subgraph in dynamic graph streams"
    - "maximum matching in turnstile streams"
    - "semi streaming algorithms for annotated graph streams"
    - "on the communication complexity of xor functions"

Connected through hyperedge HE-2 (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"
    - "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"
    - "fourier sparsity spectral norm and the log rank conjecture"

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)