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: "approximating holant problems by winding"
  Abstract: We give an FPRAS for Holant problems with parity constraints and not-all-equal constraints, a generalisation of the problem of counting sink-free-orientations. The approach combines a sampler for near-assignments of "windable" functions -- using the cycle-unwinding canonical paths technique of Jerrum and Sinclair -- with a bound on the weight of near-assignments. The proof generalises to a larger class of Holant problems; we characterise this class and show that it cannot be extended by expressibility reductions. #R##N#We then ask whether windability is equivalent to expressibility by matchings circuits (an analogue of matchgates), and give a positive answer for functions of arity three.

Connected through hyperedge HE-1 (induced by source paper "zeros and approximations of holant polynomials on the complex plane"):
  with members:
    - "fast algorithms at low temperatures via markov chains"
    - "counting perfect matchings and the eight vertex model"
    - "counting independent sets and colorings on random regular bipartite graphs"
    - "algorithms for bis hard problems on expander graphs"
    - "zeros of holant problems locations and algorithms"
    - "the complexity of approximating the matching polynomial in the complex plane"
    - "algorithmic pirogov sinai theory"
    - "approximability of the six vertex model"

Connected through hyperedge HE-2 (induced by source paper "slow mixing of glauber dynamics for the six vertex model in the ferroelectric and antiferroelectric phases"):
  with members:
    - "random tilings with the gpu"
    - "approximability of the six vertex model"
    - "nearly tight bounds for sandpile transience on the grid"
    - "canonical paths for mcmc from art to science"

Connected through hyperedge HE-3 (induced by source paper "counting perfect matchings and the eight vertex model"):
  with members:
    - "approximability of the six vertex model"
    - "functional clones and expressibility of partition functions"
    - "inapproximability of the tutte polynomial"

Connected through hyperedge HE-4 (induced by source paper "zeros of holant problems locations and algorithms"):
  with members:
    - "the ising partition function zeros and deterministic approximation"
    - "dichotomy for real holant c problems"
    - "on the switch markov chain for perfect matchings"
    - "canonical paths for mcmc from art to science"
    - "a simple fptas for counting edge covers"
    - "correlation decay up to uniqueness in spin systems"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-5 (induced by source paper "approximability of the six vertex model"):
  with members:
    - "a complexity trichotomy for the six vertex model"
    - "canonical paths for mcmc from art to science"
    - "the complexity of planar boolean csp with complex weights"
    - "approximating the partition function of the ferromagnetic potts model"

Connected through hyperedge HE-6 (induced by source paper "canonical paths for mcmc from art to science"):
  with members:
    - "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"

Connected through hyperedge HE-7 (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"
    - "a polynomial time algorithm for estimating the partition function of the ferromagnetic ising model on a regular matroid"
    - "approximate counting via correlation decay on planar graphs"
    - "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-8 (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"
    - "approximate counting via correlation decay on planar graphs"
    - "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"

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.CC(Computational Complexity)