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: "inapproximability of the independent set polynomial below the shearer threshold"
  Abstract: We study the problem of approximately evaluating the independent set polynomial of bounded-degree graphs at a point lambda or, equivalently, the problem of approximating the partition function of the hard-core model with activity lambda on graphs G of max degree D. For lambda>0, breakthrough results of Weitz and Sly established a computational transition from easy to hard at lambda_c(D)=(D-1)^(D-1)/(D-2)^D, which coincides with the tree uniqueness phase transition from statistical physics. #R##N#For lambda<0, the evaluation of the independent set polynomial is connected to the conditions of the Lovasz Local Lemma. Shearer identified the threshold lambda*(D)=(D-1)^(D-1)/D^D as the maximum value p such that every family of events with failure probability at most p and whose dependency graph has max degree D has nonempty intersection. Very recently, Patel and Regts, and Harvey et al. have independently designed FPTASes for approximating the partition function whenever |lambda|<lambda*(D). #R##N#Our main result establishes for the first time a computational transition at the Shearer threshold. We show that for all D>=3, for all lambda -lambda*(D), establishes a phase transition for negative activities. In fact, we now have the following picture for the problem of approximating the partition function with activity lambda on graphs G of max degree D. #R##N#(i) For -lambda*(D)<lambda<lambda_c(D), the problem admits an FPTAS. #R##N#(ii) For lambda lambda_c(D), the problem is NP-hard. #R##N#Rather than the tree uniqueness threshold of the positive case, the phase transition for negative activities corresponds to the existence of zeros for the partition function of the tree below -lambda*(D).

Connected through hyperedge HE-1 (induced by source paper "the complexity of approximating the matching polynomial in the complex plane"):
  with members:
    - "inapproximability of the independent set polynomial in the complex plane"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "spatial mixing and the connective constant optimal bounds"
    - "the complexity of approximating complex valued ising and tutte partition functions"
    - "spatial mixing and approximation algorithms for graphs with bounded connective constant"
    - "the complexity of computing the sign of the tutte polynomial"

Connected through hyperedge HE-2 (induced by source paper "commutative algorithms approximate the lll distribution"):
  with members:
    - "a new perspective on stochastic local search and the lovasz local lemma"
    - "sublogarithmic distributed algorithms for lov asz local lemma and the complexity hierarchy"
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "computing the independence polynomial in shearer s region for the lll"
    - "algorithmic and enumerative aspects of the moser tardos distribution"
    - "commutativity in the algorithmic lovasz local lemma"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "partial resampling to approximate covering integer programs"

Connected through hyperedge HE-3 (induced by source paper "the algorithmic lll and the witness tree lemma"):
  with members:
    - "lopsidependency in the moser tardos framework beyond the lopsided lovasz local lemma"
    - "computing the independence polynomial in shearer s region for the lll"
    - "algorithmic and enumerative aspects of the moser tardos distribution"
    - "parallel algorithms and concentration bounds for the lovasz local lemma via witness dags"
    - "partial resampling to approximate covering integer programs"
    - "an algorithmic proof of the lovasz local lemma via resampling oracles"

Connected through hyperedge HE-4 (induced by source paper "inapproximability of the independent set polynomial in the complex plane"):
  with members:
    - "computing the independence polynomial in shearer s region for the lll"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "the complexity of approximating complex valued ising and tutte partition functions"

Connected through hyperedge HE-5 (induced by source paper "computing the independence polynomial in shearer s region for the lll"):
  with members:
    - "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"
    - "fptas for counting monotone cnf"
    - "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"

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)