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 phase transition in exact cover"
  Abstract: We study EC3, a variant of Exact Cover which is equivalent to Positive 1-in-3 SAT. Random instances of EC3 were recently used as benchmarks for simulations of an adiabatic quantum algorithm. Empirical results suggest that EC3 has a phase transition from satisfiability to unsatisfiability when the number of clauses per variable r exceeds some threshold r* ~= 0.62 +- 0.01. Using the method of differential equations, we show that if r <= 0.546 w.h.p. a random instance of EC3 is satisfiable. Combined with previous results this limits the location of the threshold, if it exists, to the range 0.546 < r* < 0.644.

Connected through hyperedge HE-1 (induced by source paper "on the computation of neumann series"):
  with members:
    - "understanding deep features with computer generated imagery"

Connected through hyperedge HE-2 (induced by source paper "the phase transition in random regular exact cover"):
  with members:
    - "the condensation phase transition in random graph coloring"
    - "catching the k naesat threshold"
    - "independent sets in random graphs from the weighted second moment method"

Connected through hyperedge HE-3 (induced by source paper "the power of choice for random satisfiability"):
  with members:
    - "the threshold for random k sat is 2 k ln2 o k"
    - "threshold values of random k sat from the cavity method"

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"
    - "typical random 3 sat formulae and the satisfiability threshold"

Connected through hyperedge HE-5 (induced by source paper "a probabilistic attack on np complete problems"):
  with members:
    - "exact phase transitions in 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.CC(Computational Complexity)