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: "a dichotomy theorem for homomorphism polynomials"
  Abstract: In the present paper we show a dichotomy theorem for the complexity of polynomial evaluation. We associate to each graph H a polynomial that encodes all graphs of a fixed size homomorphic to H. We show that this family is computable by arithmetic circuits in constant depth if H has a loop or no edge and that it is hard otherwise (i.e., complete for VNP, the arithmetic class related to #P). We also demonstrate the hardness over the rational field of cut eliminator, a polynomial defined by B\"urgisser which is known to be neither VP nor VNP-complete in the field of two elements, if VP is not equal to VNP (VP is the class of polynomials computable by arithmetic circuit of polynomial size).

Connected through hyperedge HE-1 (induced by source paper "some complete and intermediate polynomials in algebraic complexity theory"):
  with members:
    - "monotone projection lower bounds from extended formulation lower bounds"
    - "dichotomy theorems for homomorphism polynomials of graph classes"
    - "the matching polytope has exponential extension complexity"
    - "the arithmetic complexity of tensor contractions"

Connected through hyperedge HE-2 (induced by source paper "on the relative power of reduction notions in arithmetic circuit complexity"):
  with members:
    - "some complete and intermediate polynomials in algebraic complexity theory"
    - "algebraic complexity classes"

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"
    - "some complete and intermediate polynomials in algebraic complexity theory"
    - "boundaries of vp and vnp"
    - "lower bounds for monotone counting circuits"
    - "the matching polytope has exponential extension complexity"

Connected through hyperedge HE-4 (induced by source paper "dichotomy theorems for homomorphism polynomials of graph classes"):
  with members:
    - "counting homomorphisms and partition functions"
    - "graph homomorphisms with complex values a dichotomy theorem"
    - "a complexity dichotomy for partition functions with mixed signs"

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)