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: "below all subsets for some permutational counting problems"
  Abstract: We show that the two problems of computing the permanent of an $n\times n$ matrix of $\operatorname{poly}(n)$-bit integers and counting the number of Hamiltonian cycles in a directed $n$-vertex multigraph with $\operatorname{exp}(\operatorname{poly}(n))$ edges can be reduced to relatively few smaller instances of themselves. In effect we derive the first deterministic algorithms for these two problems that run in $o(2^n)$ time in the worst case. Classic $\operatorname{poly}(n)2^n$ time algorithms for the two problems have been known since the early 1960's. Our algorithms run in $2^{n-\Omega(\sqrt{n/\log n})}$ time.

Connected through hyperedge HE-1 (induced by source paper "sfcm r a novel algorithm for the hamiltonian sequence problem"):
  with members:
    - "the mondshein sequence"

Connected through hyperedge HE-2 (induced by source paper "tensor network complexity of multilinear maps"):
  with members:
    - "spectral methods from tensor networks"
    - "in datacenter performance analysis of a tensor processing unit"
    - "homomorphisms are a good basis for counting small subgraphs"
    - "matrix multiplication trilinear decompositions apa algorithms and summation"
    - "sparse tensor algebra as a parallel programming model"
    - "a framework for practical parallel fast matrix multiplication"
    - "powers of tensors and fast matrix multiplication"
    - "lower bounds on the size of semidefinite programming relaxations"

Connected through hyperedge HE-3 (induced by source paper "the set cover conjecture and subgraph isomorphism with a tree pattern"):
  with members:
    - "seth based lower bounds for subset sum and bicriteria path"
    - "finding large set covers faster via the representation method"
    - "on problems as hard as cnf sat"
    - "on the equivalence among problems of bounded width"
    - "everything you always wanted to know about the parameterized complexity of subgraph isomorphism but were afraid to ask"
    - "constrained multilinear detection and generalized graph motifs"
    - "narrow sieves for parameterized paths and packings"
    - "determinant sums for undirected hamiltonicity"

Connected through hyperedge HE-4 (induced by source paper "the classical complexity of boson sampling"):
  with members:
    - "weighted random sampling over data streams"

Connected through hyperedge HE-5 (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"
    - "a new direction for counting perfect matchings"
    - "fast hamiltonicity checking via bases of perfect matchings"

Connected through hyperedge HE-6 (induced by source paper "counting thin subgraphs via packings faster than meet in the middle time"):
  with members:
    - "homomorphisms are a good basis for counting small subgraphs"
    - "matrix multiplication trilinear decompositions apa algorithms and summation"
    - "powers of tensors and fast matrix multiplication"
    - "complexity of counting subgraphs only the boundedness of the vertex cover number counts"
    - "faster algorithms for rectangular matrix multiplication"
    - "counting paths and packings in halves"
    - "trimmed moebius inversion and graphs of bounded degree"
    - "the fast intersection transform with applications to counting paths"

Connected through hyperedge HE-7 (induced by source paper "the parity of directed hamiltonian cycles"):
  with members:
    - "on problems as hard as cnf sat"
    - "fast hamiltonicity checking via bases of perfect matchings"
    - "solving connectivity problems parameterized by treewidth in single exponential time"
    - "determinant sums for undirected hamiltonicity"

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)