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: "solving and verifying the boolean pythagorean triples problem via cube and conquer"
  Abstract: The boolean Pythagorean Triples problem has been a longstanding open problem in Ramsey Theory: Can the set \(\mathbb {N}= \{1,2,\dots \}\) of natural numbers be divided into two parts, such that no part contains a triple (a, b, c) with \(a^2 + b^2 = c^2\) ? A prize for the solution was offered by Ronald Graham over two decades ago. We solve this problem, proving in fact the impossibility, by using the Cube-and-Conquer paradigm, a hybrid SAT method for hard problems, employing both look-ahead and CDCL solvers. An important role is played by dedicated look-ahead heuristics, which indeed allowed to solve the problem on a cluster with 800 cores in about 2 days. Due to the general interest in this mathematical problem, our result requires a formal proof. Exploiting recent progress in unsatisfiability proofs of SAT solvers, we produced and verified a proof in the DRAT format, which is almost 200 terabytes in size. From this we extracted and made available a compressed certificate of 68 gigabytes, that allows anyone to reconstruct the DRAT proof for checking.

Connected through hyperedge HE-1 (induced by source paper "nonexistence certificates for ovals in a projective plane of order ten"):
  with members:
    - "applying computer algebra systems with sat solvers to the williamson conjecture"
    - "trimming graphs using clausal proof optimization"
    - "sat solvers and computer algebra systems a powerful combination for mathematics"
    - "the sat cas method for combinatorial search with applications to best matrices"
    - "a nonexistence certificate for projective planes of order ten with weight 15 codewords"
    - "complex golay pairs up to length 28 a search via computer algebra and programmatic sat"
    - "schur number five"
    - "computer aided proof of erdos discrepancy properties"

Connected through hyperedge HE-2 (induced by source paper "applying computer algebra systems with sat solvers to the williamson conjecture"):
  with members:
    - "enumeration of complex golay pairs via programmatic sat"
    - "a sat cas approach to finding good matrices new examples and counterexamples"
    - "schur number five"
    - "a sat attack on the erdos discrepancy conjecture"

Connected through hyperedge HE-3 (induced by source paper "guiding high performance sat solvers with unsat core predictions"):
  with members:
    - "learning a sat solver from single bit supervision"
    - "learning to branch"
    - "gamepad a learning environment for theorem proving"
    - "robustfill neural program learning under noisy i o"
    - "ray a distributed framework for emerging ai applications"
    - "schur number five"
    - "deep network guided proof search"
    - "holstep a machine learning dataset for higher order logic theorem proving"

Connected through hyperedge HE-4 (induced by source paper "a nonexistence certificate for projective planes of order ten with weight 15 codewords"):
  with members:
    - "sat solvers and computer algebra systems a powerful combination for mathematics"
    - "enumeration of complex golay pairs via programmatic sat"
    - "a sat cas approach to finding good matrices new examples and counterexamples"
    - "schur number five"
    - "computing the ramsey number r 4 3 3 using abstraction and symmetry breaking"
    - "computer aided proof of erdos discrepancy properties"
    - "practical graph isomorphism ii"
    - "green tao numbers and sat"

Connected through hyperedge HE-5 (induced by source paper "sat encodings for treecut width and treedepth"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "the complexity landscape of decompositional parameters for ilp"
    - "on the power of tree depth for fully polynomial fpt algorithms"
    - "kernelizing mso properties of trees of fixed height and some consequences"
    - "a faster parameterized algorithm for treedepth"
    - "structural parameterizations of the mixed chinese postman problem"
    - "computing tree depth faster than 2 n"
    - "where first order and monadic second order logic coincide"

Connected through hyperedge HE-6 (induced by source paper "new ways to multiply 3 x 3 matrices"):
  with members:
    - "local search for fast matrix multiplication"
    - "fast feasible and unfeasible matrix multiplication"
    - "laderman matrix multiplication algorithm can be constructed using strassen algorithm and related tensor s isotropies"
    - "a non commutative algorithm for multiplying 5 5 matrices using 99 multiplications"
    - "schur number five"
    - "powers of tensors and fast matrix multiplication"
    - "a new general purpose method to multiply 3x3 matrices using only 23 multiplications"

Connected through hyperedge HE-7 (induced by source paper "the sat cas method for combinatorial search with applications to best matrices"):
  with members:
    - "applying computer algebra systems with sat solvers to the williamson conjecture"
    - "complex golay pairs up to length 28 a search via computer algebra and programmatic sat"
    - "enumeration of complex golay pairs via programmatic sat"
    - "a sat cas approach to finding good matrices new examples and counterexamples"
    - "schur number five"
    - "green tao numbers and sat"
    - "satisfiability and computing van der waerden numbers"

Connected through hyperedge HE-8 (induced by source paper "a review of literature on parallel constraint solving"):
  with members:
    - "parallel strategies selection"
    - "a multicore tool for constraint solving"
    - "hordesat a massively parallel portfolio sat solver"
    - "the shape of the search tree for the maximum clique problem and the implications for parallel branch and bound"
    - "proteus a hierarchical portfolio of solvers and transformations"
    - "asymmetric distributed constraint optimization problems"
    - "algorithm selection for combinatorial search problems a survey"
    - "distributed solving through model splitting"

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)