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 "green tao numbers and sat"):
  Abstract: We aim at using the problems from exact Ramsey theory, concerned with computing Ramsey-type numbers, as a rich source of test problems for SAT solving, targeting especially hard problems. Particularly we consider the links between Ramsey theory in the integers, based on van der Waerden’s theorem, and (boolean, CNF) SAT solving. Based on Green-Tao’s theorem (“the primes contain arbitrarily long arithmetic progressions”) we introduce the Green-Tao numbers grtmk1, ..., km, which in a sense combine the strict structure of van der Waerden problems with the quasi-randomness of the distribution of prime numbers. In general the problem sizes become quickly infeasible here, but we show that for transversal extensions these numbers only grow linearly, thus having a method at hand to produce more problem instances of feasible sizes. Using standard SAT solvers (look-ahead, conflict-driven, and local search) we determine the basic Green-Tao numbers. It turns out that already for this single case of a Ramsey-type problem, when considering the best-performing solvers a wide variety of solver types is covered. This is different to van der Waerden problems, where apparently only simple look-ahead solvers succeed (regarding complete methods). For m>2 the problems are non-boolean, and we introduce the generic translation scheme for translating non-boolean clause-sets to boolean clause-set. This general method offers an infinite variety of translations (“encodings”) and covers the known methods. In most cases the special instance called nested translation proved to be far superior over its competitors (including the direct translation).

Includes members:
  Member "constraint satisfaction problems in clausal form":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on davis putnam reductions for minimally unsatisfiable clause sets")
  Member "satisfiability and computing van der waerden numbers":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the sat cas method for combinatorial search with applications to best matrices")
  Member "survey propagation an algorithm for satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "pdp a general neural framework for learning constraint satisfaction solvers")

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)