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: "a new direction for counting perfect matchings"
  Abstract: In this paper, we present a new exact algorithm for counting perfect matchings, which relies on neither inclusion-exclusion principle nor tree-decompositions. For any bipartite graph of $2n$ nodes and $\Delta n$ edges such that $\Delta \geq 3$, our algorithm runs with $O^{\ast}(2^{(1 - 1/O(\Delta \log \Delta))n})$ time and exponential space. Compared to the previous algorithms, it achieves a better time bound in the sense that the performance degradation to the increase of $\Delta$ is quite slower. The main idea of our algorithm is a new reduction to the problem of computing the cut-weight distribution of the input graph. The primary ingredient of this reduction is MacWilliams Identity derived from elementary coding theory. The whole of our algorithm is designed by combining that reduction with a non-trivial fast algorithm computing the cut-weight distribution. To the best of our knowledge, the approach posed in this paper is new and may be of independent interest.

Connected through hyperedge HE-1 (induced by source paper "on symbolic approaches for computing the matrix permanent"):
  with members:
    - "addmc exact weighted model counting with algebraic decision diagrams"
    - "incremental cardinality constraints for maxsat"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "understanding model counting for beta acyclic cnf formulas"
    - "counting based search branching heuristics for constraint satisfaction problems"

Connected through hyperedge HE-2 (induced by source paper "directed hamiltonicity and out branchings via generalized laplacians"):
  with members:
    - "on problems as hard as cnf sat"
    - "spotting trees with few leaves"
    - "fast algorithms for parameterized problems with relaxed disjointness constraints"
    - "mixing color coding related techniques"
    - "faster exponential time algorithms in graphs of bounded average degree"
    - "the parity of directed hamiltonian cycles"
    - "below all subsets for some permutational counting problems"
    - "fast hamiltonicity checking via bases of perfect matchings"

Connected through hyperedge HE-3 (induced by source paper "families with infants speeding up algorithms for np hard problems using fft"):
  with members:
    - "families with infants a general approach to solve hard partition problems"
    - "faster exponential time algorithms in graphs of bounded average degree"
    - "fast hamiltonicity checking via bases of perfect matchings"
    - "counting perfect matchings as fast as ryser"
    - "narrow sieves for parameterized paths and packings"
    - "determinant sums for undirected hamiltonicity"
    - "trimmed moebius inversion and graphs of bounded degree"

Connected through hyperedge HE-4 (induced by source paper "bitwise map algorithm for group testing based on holographic transformation"):
  with members:
    - "partition function of the ising model via factor graph duality"
    - "normal factor graphs and holographic transformations"
    - "note on noisy group testing asymptotic bounds and belief propagation reconstruction"

Connected through hyperedge HE-5 (induced by source paper "faster exponential time algorithms in graphs of bounded average degree"):
  with members:
    - "on problems as hard as cnf sat"
    - "families with infants a general approach to solve hard partition problems"
    - "counting perfect matchings as fast as ryser"
    - "determinant sums for undirected hamiltonicity"
    - "known algorithms on graphs of bounded treewidth are probably optimal"
    - "trimmed moebius inversion and graphs of bounded degree"

Connected through hyperedge HE-6 (induced by source paper "families with infants a general approach to solve hard partition problems"):
  with members:
    - "faster exponential time algorithms in graphs of bounded average degree"
    - "fast hamiltonicity checking via bases of perfect matchings"
    - "counting perfect matchings as fast as ryser"
    - "determinant sums for undirected hamiltonicity"
    - "trimmed moebius inversion and graphs of bounded degree"

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.DS(Data Structures and Algorithms)