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: "some complete and intermediate polynomials in algebraic complexity theory"
  Abstract: We provide a list of new natural $\mathsf{VNP}$-intermediate polynomial families, based on basic (combinatorial) $\mathsf{NP}$-complete problems that are complete under parsimonious reductions. Over finite fields, these families are in $\mathsf{VNP}$, and under the plausible hypothesis $\mathsf{Mod}_p\mathsf{P} \not\subseteq \mathsf{P/poly}$, are neither $\mathsf{VNP}$-hard (even under oracle-circuit reductions) nor in $\mathsf{VP}$. Prior to this, only the Cut Enumerator polynomial was known to be $\mathsf{VNP}$-intermediate, as shown by B\"{u}rgisser in 2000. #R##N#We next show that over rationals and reals, two of our intermediate polynomials, based on satisfiability and Hamiltonian cycle, are not monotone affine polynomial-size projections of the permanent. This augments recent results along this line due to Grochow. #R##N#Finally, we describe a (somewhat natural) polynomial defined independent of a computation model, and show that it is $\mathsf{VP}$-complete under polynomial-size projections. This complements a recent result of Durand et al. (2014) which established $\mathsf{VP}$-completeness of a related polynomial but under constant-depth oracle circuit reductions. Both polynomials are based on graph homomorphisms. A simple restriction yields a family similarly complete for $\mathsf{VBP}$.

Connected through hyperedge HE-1 (induced by source paper "parameterized valiant s classes"):
  with members:
    - "a fixed parameter perspective on bis"
    - "homomorphisms are a good basis for counting small subgraphs"
    - "counting restricted homomorphisms via m obius inversion over matroid lattices"
    - "on the relative power of reduction notions in arithmetic circuit complexity"
    - "algebraic complexity classes"
    - "complexity of counting subgraphs only the boundedness of the vertex cover number counts"
    - "paradigms for parameterized enumeration"
    - "narrow sieves for parameterized paths and packings"

Connected through hyperedge HE-2 (induced by source paper "on the relative power of reduction notions in arithmetic circuit complexity"):
  with members:
    - "algebraic complexity classes"
    - "a dichotomy theorem for homomorphism polynomials"

Connected through hyperedge HE-3 (induced by source paper "monotone projection lower bounds from extended formulation lower bounds"):
  with members:
    - "bipartite perfect matching is in quasi nc"
    - "boundaries of vp and vnp"
    - "lower bounds for monotone counting circuits"
    - "the matching polytope has exponential extension complexity"
    - "a dichotomy theorem for homomorphism polynomials"

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)