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: "typical random 3 sat formulae and the satisfiability threshold"
  Abstract: We present a new structural (or syntatic) approach for estimating the satisfiability threshold of random 3-SAT formulae. We show its efficiency in obtaining a jump from the previous upper bounds, lowering them to 4.506. The method combines well with other techniques, and also applies to other problems, such as the 3-colourability of random graphs.

Connected through hyperedge HE-1 (induced by source paper "satisfiability threshold for power law random 2 sat in configuration model"):
  with members:
    - "scale free random sat instances"
    - "bounds on the satisfiability threshold for power law distributed random sat"
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-2 (induced by source paper "phase transition in matched formulas and a heuristic for biclique satisfiability"):
  with members:
    - "the satisfiability threshold for a seemingly intractable random constraint satisfaction problem"
    - "the sat phase transition"

Connected through hyperedge HE-3 (induced by source paper "the backtracking survey propagation algorithm for solving random k sat problems"):
  with members:
    - "on the solution space geometry of random constraint satisfaction problems"
    - "a new look at survey propagation and its generalizations"
    - "some remarks on the survey decimation algorithm for k satisfiability"
    - "threshold values of random k sat from the cavity method"
    - "on local equilibrium equations for clustering states"
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-4 (induced by source paper "second moment method for a family of boolean csp"):
  with members:
    - "non uniform selection of solutions for upper bounding the 3 sat threshold"
    - "the phase transition in exact cover"

Connected through hyperedge HE-5 (induced by source paper "is sp bp"):
  with members:
    - "relationship between clustering and algorithmic phase transitions in the random k xorsat model and its np complete extensions"
    - "lossy source encoding via message passing and decimation over generalized codewords of ldgm codes"
    - "a new look at survey propagation and its generalizations"
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-6 (induced by source paper "a new upper bound for 3 sat"):
  with members:
    - "on the satisfiability threshold and clustering of solutions of random 3 sat formulas"
    - "on the solution space geometry of random constraint satisfaction problems"

Connected through hyperedge HE-7 (induced by source paper "phase transition for local search on planted sat"):
  with members:
    - "survey propagation an algorithm for satisfiability"

Connected through hyperedge HE-8 (induced by source paper "on the satisfiability threshold and clustering of solutions of random 3 sat formulas"):
  with members:
    - "on the solution space geometry of random constraint satisfaction problems"
    - "a new look at survey propagation and its generalizations"

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.DM(Discrete Mathematics)