human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "frozen variables in random boolean constraint satisfaction problems"):
  Abstract: We determine the exact freezing threshold, r^f, for a family of models of random boolean constraint satisfaction problems, including NAE-SAT and hypergraph 2-colouring, when the constraint size is sufficiently large. If the constraint-density of a random CSP, F, in our family is greater than r^f then for almost every solution of F, a linear number of variables are frozen, meaning that their colours cannot be changed by a sequence of alterations in which we change o(n) variables at a time, always switching to another solution. If the constraint-density is less than r^f, then almost every solution has o(n) frozen variables. #R##N#Freezing is a key part of the clustering phenomenon that is hypothesized by non-rigorous techniques from statistical physics. The understanding of clustering has led to the development of advanced heuristics such as Survey Propogation. It has been suggested that the freezing threshold is a precise algorithmic barrier: that for densities below r^f the random CSPs can be solved using very simple algorithms, while for densities above r^f one requires more sophisticated techniques in order to deal with frozen clusters.

Includes members:
  Member "on independent sets in random graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the average case complexity of counting cliques in erdos renyi hypergraphs")
  Member "the set of solutions of random xorsat formulae":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "interactive particle systems on hypergraphs drift analysis and the walksat algorithm")
  Member "catching the k naesat threshold":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "general bounds on satisfiability thresholds for random csps via fourier analysis")
  Member "the solution space geometry of random linear equations":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "interactive particle systems on hypergraphs drift analysis and the walksat algorithm")
  Member "on the concentration of the number of solutions of random satisfiability formulas":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "counting solutions to random cnf formulas")
  Member "reconstruction and clustering in random constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "broadcasting on random directed acyclic graphs")
  Member "tight thresholds for cuckoo hashing via xorsat":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "peeling close to the orientability threshold spatial coupling in hashing based data structures")
  Member "decay of correlations for sparse graph error correcting codes":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a scaling law to predict the finite length performance of spatially coupled ldpc codes")

Question: Please tell me which class the source paper 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)