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: "the threshold for random k sat is 2 k ln2 o k"
  Abstract: Let F be a random k-SAT formula on n variables, formed by selecting uniformly and independently m = rn out of all possible k-clauses. It is well-known that if r>2^k ln 2, then the formula F is unsatisfiable with probability that tends to 1 as n tends to infinity. We prove that there exists a sequence t_k = O(k) such that if r < 2^k ln 2 - t_k, then the formula F is satisfiable with probability that tends to 1 as n tends to infinity. #R##N#Our technique yields an explicit lower bound for the random k-SAT threshold for every k. For k>3 this improves upon all previously known lower bounds. For example, when k=10 our lower bound is 704.94 while the upper bound is 708.94.

Connected through hyperedge HE-1 (induced by source paper "the power of choice for random satisfiability"):
  with members:
    - "the phase transition in exact cover"
    - "threshold values of random k sat from the cavity method"

Connected through hyperedge HE-2 (induced by source paper "generating hard satisfiable formulas by hiding solutions deceptively"):
  with members:
    - "hiding satisfying assignments two are better than one"
    - "heuristic average case analysis of the backtrack resolution of random 3 satisfiability instances"
    - "approximate analysis of search algorithms with physical methods"

Connected through hyperedge HE-3 (induced by source paper "a new look at survey propagation and its generalizations"):
  with members:
    - "belief optimization for binary networks a stable alternative to loopy belief propagation"
    - "on the solution space geometry of random constraint satisfaction problems"
    - "low density constructions can achieve the wyner ziv and gelfand pinsker bounds"
    - "lossy source encoding via message passing and decimation over generalized codewords of ldgm codes"
    - "typical random 3 sat formulae and the satisfiability threshold"
    - "on local equilibrium equations for clustering states"
    - "survey propagation an algorithm for satisfiability"

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)