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: "approximate counting via correlation decay on planar graphs"
  Abstract: We show for a broad class of counting problems, correlation decay (strong spatial mixing) implies FPTAS on planar graphs. The framework for the counting problems considered by us is the Holant problems with arbitrary constant-size domain and symmetric constraint functions. We define a notion of regularity on the constraint functions, which covers a wide range of natural and important counting problems, including all multi-state spin systems, counting graph homomorphisms, counting weighted matchings or perfect matchings, the subgraphs world problem transformed from the ferromagnetic Ising model, and all counting CSPs and Holant problems with symmetric constraint functions of constant arity. #R##N#The core of our algorithm is a fixed-parameter tractable algorithm which computes the exact values of the Holant problems with regular constraint functions on graphs of bounded treewidth. By utilizing the locally tree-like property of apex-minor-free families of graphs, the parameterized exact algorithm implies an FPTAS for the Holant problem on these graph families whenever the Gibbs measure defined by the problem exhibits strong spatial mixing. We further extend the recursive coupling technique to Holant problems and establish strong spatial mixing for the ferromagnetic Potts model and the subgraphs world problem. As consequences, we have new deterministic approximation algorithms on planar graphs and all apex-minor-free graphs for several counting problems.

Connected through hyperedge HE-1 (induced by source paper "detecting and counting small patterns in planar graphs in subexponential parameterized time"):
  with members:
    - "homomorphisms are a good basis for counting small subgraphs"
    - "computing the number of induced copies of a fixed graph in a bounded degree graph"
    - "subexponential parameterized algorithms for planar and apex minor free graphs via low treewidth pattern covering"
    - "counting matchings with k unmatched vertices in planar graphs"
    - "approximating the partition function of planar two state spin systems"
    - "on triangulating k outerplanar graphs"
    - "beyond bidimensionality parameterized subexponential algorithms on directed graphs"
    - "planar subgraph isomorphism revisited"

Connected through hyperedge HE-2 (induced by source paper "perfect sampling from spatial mixing"):
  with members:
    - "dynamic sampling from graphical models"
    - "on local distributed sampling and counting"
    - "approximately counting bases of bicircular matroids"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "a polynomial time approximation algorithm for all terminal network reliability"
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"

Connected through hyperedge HE-3 (induced by source paper "approximating the partition function of planar two state spin systems"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "approximating the partition function of the ferromagnetic potts model"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "improved inapproximability results for counting independent sets in the hard core model"
    - "computational transition at the uniqueness threshold"

Connected through hyperedge HE-4 (induced by source paper "fptas for weighted fibonacci gates and its applications"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "a simple fptas for counting edge covers"
    - "approximating holant problems by winding"
    - "a polynomial time algorithm for estimating the partition function of the ferromagnetic ising model on a regular matroid"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "approximate counting via correlation decay in spin systems"
    - "computational transition at the uniqueness threshold"

Connected through hyperedge HE-5 (induced by source paper "a simple fptas for counting edge covers"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for weighted fibonacci gates and its applications"
    - "approximating holant problems by winding"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "approximate counting via correlation decay in spin systems"
    - "an approximation trichotomy for boolean csp"

Connected through hyperedge HE-6 (induced by source paper "approximate capacities of two dimensional codes by spatial mixing"):
  with members:
    - "fptas for counting monotone cnf"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "improved bounds on the phase transition for the hard core model in 2 dimensions"
    - "correlation decay up to uniqueness in spin systems"
    - "approximate counting via correlation decay in spin systems"

Connected through hyperedge HE-7 (induced by source paper "fptas for counting monotone cnf"):
  with members:
    - "inapproximability of the partition function for the antiferromagnetic ising and hard core models"
    - "fptas for weighted fibonacci gates and its applications"
    - "a simple fptas for counting edge covers"
    - "a polynomial time algorithm for estimating the partition function of the ferromagnetic ising model on a regular matroid"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "correlation decay up to uniqueness in spin systems"
    - "approximate counting via correlation decay in spin systems"
    - "computational transition at the uniqueness threshold"

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)