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: "fptas for counting monotone cnf"
  Abstract: A monotone CNF formula is a Boolean formula in conjunctive normal form where each variable appears positively. We design a deterministic fully polynomial-time approximation scheme (FPTAS) for counting the number of satisfying assignments for a given monotone CNF formula when each variable appears in at most $5$ clauses. Equivalently, this is also an FPTAS for counting set covers where each set contains at most $5$ elements. If we allow variables to appear in a maximum of $6$ clauses (or sets to contain $6$ elements), it is NP-hard to approximate it. Thus, this gives a complete understanding of the approximability of counting for monotone CNF formulas. It is also an important step towards a complete characterization of the approximability for all bounded degree Boolean #CSP problems. In addition, we study the hypergraph matching problem, which arises naturally towards a complete classification of bounded degree Boolean #CSP problems, and show an FPTAS for counting 3D matchings of hypergraphs with maximum degree $4$. #R##N#Our main technique is correlation decay, a powerful tool to design deterministic FPTAS for counting problems defined by local constraints among a number of variables. All previous uses of this design technique fall into two categories: each constraint involves at most two variables, such as independent set, coloring, and spin systems in general; or each variable appears in at most two constraints, such as matching, edge cover, and holant problem in general. The CNF problems studied here have more complicated structures than these problems and require new design and proof techniques. As it turns out, the technique we developed for the CNF problem also works for the hypergraph matching problem. We believe that it may also find applications in other CSP or more general counting problems.

Connected through hyperedge HE-1 (induced by source paper "computing the independence polynomial in shearer s region for the lll"):
  with members:
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "convergence of mcmc and loopy bp in the tree uniqueness region for the hard core model"
    - "fptas for bis with degree bounds on one side"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "spatial mixing and the connective constant optimal bounds"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "inapproximability for antiferromagnetic spin systems in the tree non uniqueness region"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-2 (induced by source paper "approximate counting the lovasz local lemma and inference in graphical models"):
  with members:
    - "uniform sampling through the lov asz local lemma"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "computing the independence polynomial in shearer s region for the lll"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "commutativity in the algorithmic lovasz local lemma"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-3 (induced by source paper "uniform sampling through the lov asz local lemma"):
  with members:
    - "what can be sampled locally"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "approximate counting the lovasz local lemma and inference in graphical models"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "new constructive aspects of the lovasz local lemma"
    - "a constructive proof of the general lovasz local lemma"

Connected through hyperedge HE-4 (induced by source paper "approximating partition functions of bounded degree boolean counting constraint satisfaction problems"):
  with members:
    - "counting hypergraph matchings up to uniqueness threshold"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "an approximation trichotomy for boolean csp"

Connected through hyperedge HE-5 (induced by source paper "an fptas for counting proper four colorings on cubic graphs"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "correlation decay up to uniqueness in spin systems"
    - "approximate counting via correlation decay in spin systems"

Connected through hyperedge HE-6 (induced by source paper "counting hypergraph matchings up to uniqueness threshold"):
  with members:
    - "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "counting independent sets in hypergraphs when strong spatial mixing fails"
    - "fptas for hardcore and ising models on hypergraphs"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "approximation via correlation decay when strong spatial mixing fails"
    - "fptas for weighted fibonacci gates and its applications"
    - "a simple fptas for counting edge covers"

Connected through hyperedge HE-7 (induced by source paper "fptas for bis with degree bounds on one side"):
  with members:
    - "a simple fptas for counting edge covers"
    - "the complexity of ferromagnetic two spin systems with external fields"
    - "spatial mixing and the connective constant optimal bounds"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "the complexity of approximately counting stable roommate assignments"
    - "approximating the partition function of the ferromagnetic potts model"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"

Connected through hyperedge HE-8 (induced by source paper "approximation via correlation decay when strong spatial mixing fails"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for hardcore and ising models on hypergraphs"
    - "the complexity of approximately counting in 2 spin systems on k uniform bounded degree hypergraphs"
    - "spatial mixing and approximate counting for potts model on graphs with bounded average degree"
    - "approximately counting locally optimal structures"
    - "spatial mixing and the connective constant optimal bounds"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

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)