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 solution space geometry of random linear equations"
  Abstract: We consider random systems of linear equations over GF(2) in which every equation binds k variables. We obtain a precise description of the clustering of solutions in such systems. In particular, we prove that with probability that tends to 1 as the number of variables, n, grows: for every pair of solutions \sigma, \tau, either there exists a sequence of solutions \sigma,...,\tau, in which successive elements differ by O(log n) variables, or every sequence of solutions \sigma,...,\tau, contains a step requiring the simultaneous change of \Omega(n) variables. Furthermore, we determine precisely which pairs of solutions are in each category. Our results are tight and highly quantitative in nature. Moreover, our proof highlights the role of unique extendability as the driving force behind the success of Low Density Parity Check codes and our techniques also apply to the problem of so-called pseudo-codewords in such codes.

Connected through hyperedge HE-1 (induced by source paper "interactive particle systems on hypergraphs drift analysis and the walksat algorithm"):
  with members:
    - "the set of solutions of random xorsat formulae"
    - "coalescing random walks and voting on connected graphs"
    - "relationship between clustering and algorithmic phase transitions in the random k xorsat model and its np complete extensions"
    - "on the dynamics of social balance on general networks with an application to xor sat"
    - "spines of random constraint satisfaction problems definition and connection with computational complexity"

Connected through hyperedge HE-2 (induced by source paper "inside the clustering window for random linear equations"):
  with members:
    - "on independent sets in random graphs"
    - "the set of solutions of random xorsat formulae"
    - "chasing the k colorability threshold"
    - "catching the k naesat threshold"
    - "frozen variables in random boolean constraint satisfaction problems"
    - "reconstruction and clustering in random constraint satisfaction problems"
    - "tight thresholds for cuckoo hashing via xorsat"
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-3 (induced by source paper "parallel peeling algorithms"):
  with members:
    - "biff bloom filter codes fast error correction for large data sets"
    - "invertible bloom lookup tables"
    - "tight thresholds for cuckoo hashing via xorsat"

Connected through hyperedge HE-4 (induced by source paper "frozen variables in random boolean constraint satisfaction problems"):
  with members:
    - "on independent sets in random graphs"
    - "the set of solutions of random xorsat formulae"
    - "catching the k naesat threshold"
    - "on the concentration of the number of solutions of random satisfiability formulas"
    - "reconstruction and clustering in random constraint satisfaction problems"
    - "tight thresholds for cuckoo hashing via xorsat"
    - "decay of correlations for sparse graph error correcting codes"
    - "on the solution space geometry of random constraint satisfaction problems"

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.DS(Data Structures and Algorithms)