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 "approximating the tutte polynomial of a binary matroid and other related combinatorial polynomials"):
  Abstract: We consider the problem of approximating certain combinatorial polynomials. First, we consider the problem of approximating the Tutte polynomial of a binary matroid with parameters q>=2 and @c. (Relative to the classical (x,y) parameterisation, q=(x-1)(y-1) and @c=y-1.) A graph is a special case of a binary matroid, so earlier work by the authors shows inapproximability (subject to certain complexity assumptions) for q>2, apart from the trivial case @c=0. The situation for q=2 is different. Previous results for graphs imply inapproximability in the region -2= 0, the approximation problem is hard for the complexity class #RH@P"1 under approximation-preserving (AP) reducibility. The latter result indicates a gap in approximation complexity at q=2: whereas an FPRAS is known in the graphical case, there can be none in the binary matroid case, unless there is an FPRAS for all of #RH@P"1. The result also implies that it is computationally difficult to approximate the weight enumerator of a binary linear code, apart from at the special weights at which the problem is exactly solvable in polynomial time. As a consequence, we show that approximating the cycle index polynomial of a permutation group is hard for #RH@P"1 under AP-reducibility, partially resolving a question that we first posed in 1992.

Includes members:
  Member "inapproximability of the tutte polynomial of a planar graph":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "fpras for the potts model and the number of k colorings")
  Member "approximating the partition function of the ferromagnetic potts model":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "lower bounds for testing graphical models colorings and antiferromagnetic ising models")
  Member "inapproximability of the tutte polynomial":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the fine grained complexity of computing the tutte polynomial of a linear matroid")
  Member "computing the tutte polynomial in vertex exponential time":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the fine grained complexity of computing the tutte polynomial of a linear matroid")
  Member "linear datalog and bounded path duality of relational structures":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "characterizations and approximability of hard counting classes below p")

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.CC(Computational Complexity)