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 "new algorithms and hard instances for non commutative computation"):
  Abstract: Motivated by the recent developments on the complexity of non-com\-mu\-ta\-tive determinant and permanent [Chien et al.\ STOC 2011, Bl\"aser ICALP 2013, Gentry CCC 2014] we attempt at obtaining a tight characterization of hard instances of non-commutative permanent. #R##N#We show that computing Cayley permanent and determinant on weight\-ed adjacency matrices of graphs of component size six is $\#{\sf P}$ complete on algebras that contain $2\times 2$ matrices and the permutation group $S_3$. Also, we prove a lower bound of $2^{\Omega(n)}$ on the size of branching programs computing the Cayley permanent on adjacency matrices of graphs with component size bounded by two. Further, we observe that the lower bound holds for almost all graphs of component size two. #R##N#On the positive side, we show that the Cayley permanent on graphs of component size $c$ can be computed in time $n^{c{\sf poly}(t)}$, where $t$ is a parameter depending on the labels of the vertices. #R##N#Finally, we exhibit polynomials that are equivalent to the Cayley permanent polynomial but are easy to compute over commutative domains.

Includes members:
  Member "progress on polynomial identity testing ii":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials")
  Member "almost settling the hardness of noncommutative determinant":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials")
  Member "monomials in arithmetic circuits complete problems in the counting hierarchy":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "algebraic complexity classes")
  Member "arithmetic circuits and the hadamard product of polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials")
  Member "on the expressive power of permanents and perfect matchings of matrices of bounded pathwidth cliquewidth":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "counting euler tours in undirected bounded treewidth graphs")
  Member "new results on noncommutative and commutative polynomial identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "efficient black box identity testing over free group algebra")
  Member "on the expressive power of planar perfect matching and permanents of bounded treewidth matrices":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "parameterized valiant s classes")

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)