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 in the complex plane"
  Abstract: We study the complexity of approximating the independent set polynomial $Z_G(\lambda)$ of a graph $G$ with maximum degree $\Delta$ when the activity $\lambda$ is a complex number. #R##N#This problem is already well understood when $\lambda$ is real using connections to the $\Delta$-regular tree $T$. The key concept in that case is the "occupation ratio" of the tree $T$. This ratio is the contribution to $Z_T(\lambda)$ from independent sets containing the root of the tree, divided by $Z_T(\lambda)$ itself. If $\lambda$ is such that the occupation ratio converges to a limit, as the height of $T$ grows, then there is an FPTAS for approximating $Z_G(\lambda)$ on a graph $G$ with maximum degree $\Delta$. Otherwise, the approximation problem is NP-hard. #R##N#Unsurprisingly, the case where $\lambda$ is complex is more challenging. Peters and Regts identified the values of $\lambda$ for which the occupation ratio of the $\Delta$-regular tree converges. These values carve a cardioid-shaped region $\Lambda_\Delta$ in the complex plane. Motivated by the picture in the real case, they asked whether $\Lambda_\Delta$ marks the true approximability threshold for general complex values $\lambda$. #R##N#Our main result shows that for every $\lambda$ outside of $\Lambda_\Delta$, the problem of approximating $Z_G(\lambda)$ on graphs $G$ with maximum degree at most $\Delta$ is indeed NP-hard. In fact, when $\lambda$ is outside of $\Lambda_\Delta$ and is not a positive real number, we give the stronger result that approximating $Z_G(\lambda)$ is actually #P-hard. If $\lambda$ is a negative real number outside of $\Lambda_\Delta$, we show that it is #P-hard to even decide whether $Z_G(\lambda)>0$, resolving in the affirmative a conjecture of Harvey, Srivastava and Vondrak. #R##N#Our proof techniques are based around tools from complex analysis - specifically the study of iterative multivariate rational maps.

Connected through hyperedge HE-1 (induced by source paper "counting homomorphisms modulo a prime number"):
  with members:
    - "counting homomorphisms to trees modulo a prime"
    - "counting homomorphisms to square free graphs modulo 2"
    - "the complexity of counting homomorphisms to cactus graphs modulo 2"
    - "the complexity of parity graph homomorphism an initial investigation"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

Connected through hyperedge HE-2 (induced by source paper "holant clones and the approximability of conservative holant problems"):
  with members:
    - "boolean approximate counting csps with weak conservativity and implications for ferromagnetic two spin"
    - "functional clones and expressibility of partition functions"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "the complexity of approximating conservative counting csps"
    - "the complexity of conservative valued csps"
    - "the expressibility of functions on the boolean domain with applications to counting csps"
    - "complexity of counting csp with complex weights"
    - "approximation complexity of complex weighted degree two counting constraint satisfaction problems"

Connected through hyperedge HE-3 (induced by source paper "algorithmic pirogov sinai theory"):
  with members:
    - "algorithms for bis hard problems on expander graphs"
    - "the ising partition function zeros and deterministic approximation"
    - "computing the number of induced copies of a fixed graph in a bounded degree graph"
    - "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"
    - "random cluster dynamics for the ising model is rapidly mixing"
    - "computing the independence polynomial from the tree threshold down to the roots"
    - "fptas for bis with degree bounds on one side"

Connected through hyperedge HE-4 (induced by source paper "the complexity of approximating the matching polynomial in the complex plane"):
  with members:
    - "inapproximability of the independent set polynomial below the shearer threshold"
    - "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"

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)