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: "exponential time complexity of weighted counting of independent sets"
  Abstract: We consider weighted counting of independent sets using a rational weight x: Given a graph with n vertices, count its independent sets such that each set of size k contributes x^k. This is equivalent to computation of the partition function of the lattice gas with hard-core self-repulsion and hard-core pair interaction. We show the following conditional lower bounds: If counting the satisfying assignments of a 3-CNF formula in n variables (#3SAT) needs time 2^{\Omega(n)} (i.e. there is a c>0 such that no algorithm can solve #3SAT in time 2^{cn}), counting the independent sets of size n/3 of an n-vertex graph needs time 2^{\Omega(n)} and weighted counting of independent sets needs time 2^{\Omega(n/log^3 n)} for all rational weights x\neq 0. #R##N#We have two technical ingredients: The first is a reduction from 3SAT to independent sets that preserves the number of solutions and increases the instance size only by a constant factor. Second, we devise a combination of vertex cloning and path addition. This graph transformation allows us to adapt a recent technique by Dell, Husfeldt, and Wahlen which enables interpolation by a family of reductions, each of which increases the instance size only polylogarithmically.

Connected through hyperedge HE-1 (induced by source paper "measuring satisfaction in societies with opinion leaders and mediators"):
  with members:
    - "complexity of comparison of influence of players in simple games"

Connected through hyperedge HE-2 (induced by source paper "block interpolation a framework for tight exponential time counting complexity"):
  with members:
    - "fine grained dichotomies for the tutte plane and boolean csp"
    - "on problems as hard as cnf sat"
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "the complexity of computing the sign of the tutte polynomial"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "complexity of counting csp with complex weights"
    - "the exponential time complexity of computing the probability that a graph is connected"
    - "inapproximability of the tutte polynomial"

Connected through hyperedge HE-3 (induced by source paper "exponential time complexity of the permanent and the tutte polynomial"):
  with members:
    - "the exponential time complexity of computing the probability that a graph is connected"
    - "inapproximability of the tutte polynomial"
    - "computing the tutte polynomial in vertex exponential time"

Connected through hyperedge HE-4 (induced by source paper "the exponential time complexity of computing the probability that a graph is connected"):
  with members:
    - "exponential time complexity of the permanent and the tutte polynomial"
    - "inapproximability of the tutte polynomial"
    - "computing the tutte polynomial in vertex exponential time"

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)