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: "complexity of complexity and strings with maximal plain and prefix kolmogorov complexity"
  Abstract: Peter Gacs showed (Gacs 1974) that for every n there exists a bit string x of length n whose plain complexity C(x) has almost maximal conditional complexity relative to x, i.e., C(C(x)|x) > log n - log^(2) n - O(1). (Here log^(2) i = log log i.) Following Elena Kalinina (Kalinina 2011), we provide a simple game-based proof of this result; modifying her argument, we get a better (and tight) bound log n - O(1). We also show the same bound for prefix-free complexity. #R##N#Robert Solovay showed (Solovay 1975) that infinitely many strings x have maximal plain complexity but not maximal prefix complexity (among the strings of the same length): for some c there exist infinitely many x such that |x| - C(x)   log^(2) |x| - c log^(3) |x|. In fact, the results of Solovay and Gacs are closely related. Using the result above, we provide a short proof for Solovay's result. We also generalize it by showing that for some c and for all n there are strings x of length n with n - C (x)   K(K(n)|n) - 3 K(K(K(n)|n)|n) - c. We also prove a close upper bound K(K(n)|n) + O(1). #R##N#Finally, we provide a direct game proof for Joseph Miller's generalization (Miller 2006) of the same Solovay's theorem: if a co-enumerable set (a set with c.e. complement) contains for every length a string of this length, then it contains infinitely many strings x such that |x| + K(|x|) - K(x) > log^(2) |x| + O(log^(3) |x|).

Connected through hyperedge HE-1 (induced by source paper "how incomputable is kolmogorov complexity"):
  with members:
    - "busy beaver machines and the observant otter heuristic or how to tame dreadful dragons"
    - "a computable measure of algorithmic probability by finite approximations"
    - "a computable measure of algorithmic probability by finite approximations with an application to integer sequences"
    - "short lists with short programs in short time"
    - "short lists with short programs in short time a short proof"
    - "calculating kolmogorov complexity from the output frequency distributions of small turing machines"

Connected through hyperedge HE-2 (induced by source paper "kolmogorov complexity version of slepian wolf coding"):
  with members:
    - "coding in the fork network in the framework of kolmogorov complexity"
    - "short lists with short programs in short time"
    - "short lists with short programs in short time a short proof"
    - "linear list approximation for short programs or the power of a few random bits"
    - "short lists for shortest descriptions in short time"
    - "variations on muchnik s conditional complexity theorem"

Connected through hyperedge HE-3 (induced by source paper "short lists with short programs in short time"):
  with members:
    - "short lists with short programs in short time a short proof"
    - "space bounded kolmogorov extractors"
    - "nonuniform kolmogorov extractors"
    - "short lists for shortest descriptions in short time"
    - "possibilities and impossibilities in kolmogorov complexity extraction"
    - "symmetry of information and bounds on nonuniform randomness extraction via kolmogorov extractors"
    - "improving the space bounded version of muchnik s conditional complexity theorem via naive derandomization"
    - "variations on muchnik s conditional complexity theorem"

Connected through hyperedge HE-4 (induced by source paper "relating and contrasting plain and prefix kolmogorov complexity"):
  with members:
    - "prefix and plain kolmogorov complexity characterizations of 2 randomness simple proofs"
    - "topological arguments for kolmogorov complexity"

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)