human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "markov chains for the hard core model via polymer models"):
  Abstract: Jenssen, Keevash and Perkins give an FPTAS and an efficient sampling algorithm for the high-fugacity hard-core model on bounded-degree bipartite expander graphs. Their method is based on using the cluster expansion to obtain a zero-free region for a so-called polymer model partition function in the complex plane, and then approximating the polymer partition function using the Taylor series truncation method of Barvinok. We circumvent the zero-free analysis and the generalisation to complex fugacities, showing that the polymer partition function can be approximated using Glauber dynamics on polymers. The proof that polymer Glauber dynamics mixes rapidly is easy and is based on using the sizes of the disagreeing polymers as a distance function. We then use Markov chain comparison to show that the hard-core partition function can be approximated using spin Glauber dynamics restricted to even and odd dominant portions of the state space. Our techniques also apply to the Ferromagnetic Potts model.

Includes members:
  Member "counting independent sets and colorings on random regular bipartite graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "zeros and approximations of holant polynomials on the complex plane")
  Member "algorithms for bis hard problems on expander graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "efficient algorithms for the potts model on small set expanders")
  Member "algorithmic pirogov sinai theory":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "efficient algorithms for the potts model on small set expanders")
  Member "bis hardness for 2 spin systems on bipartite bounded degree graphs in the tree non uniqueness region":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "lower bounds for testing graphical models colorings and antiferromagnetic ising models")
  Member "inapproximability of the partition function for the antiferromagnetic ising and hard core models":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "lower bounds for testing graphical models colorings and antiferromagnetic ising models")
  Member "fptas for bis with degree bounds on one side":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs")
  Member "computational transition at the uniqueness threshold":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "spectral independence in high dimensional expanders and applications to the hardcore model")

Question: Please tell me which class the source paper 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)