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: "dichotomy for real holant c problems"
  Abstract: Holant problems capture a class of Sum-of-Product computations such as counting matchings. It is inspired by holographic algorithms and is equivalent to tensor networks, with counting CSP being a special case. A classification for Holant problems is more difficult to prove, not only because it implies a classification for counting CSP, but also due to the deeper reason that there exist more intricate polynomial time tractable problems in the broader framework. #R##N#We discover a new family of constraint functions $\mathscr{L}$ which define polynomial time computable counting problems. These do not appear in counting CSP, and no newly discovered tractable constraints can be symmetric. It has a delicate support structure related to error-correcting codes. Local holographic transformations is fundamental in its tractability. We prove a complexity dichotomy theorem for all Holant problems defined by any real valued constraint function set on Boolean variables and contains two 0-1 pinning functions. Previously, dichotomy for the same framework was only known for symmetric constraint functions. he set $\mathscr{L}$ supplies the last piece of tractability. We also prove a dichotomy for a variant of counting CSP as a technical component toward this Holant dichotomy.

Connected through hyperedge HE-1 (induced by source paper "zeros and approximations of holant polynomials on the complex plane"):
  with members:
    - "fast algorithms at low temperatures via markov chains"
    - "counting perfect matchings and the eight vertex model"
    - "counting independent sets and colorings on random regular bipartite graphs"
    - "algorithms for bis hard problems on expander graphs"
    - "zeros of holant problems locations and algorithms"
    - "the complexity of approximating the matching polynomial in the complex plane"
    - "algorithmic pirogov sinai theory"
    - "approximability of the six vertex model"

Connected through hyperedge HE-2 (induced by source paper "complexity of counting weighted eulerian orientations with ars"):
  with members:
    - "holographic algorithm with matchgates is universal for planar csp over boolean domain"
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "the complexity of weighted and unweighted csp"
    - "the complexity of planar boolean csp with complex weights"
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "complexity of counting csp with complex weights"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "the complexity of weighted boolean csp"

Connected through hyperedge HE-3 (induced by source paper "zeros of holant problems locations and algorithms"):
  with members:
    - "the ising partition function zeros and deterministic approximation"
    - "on the switch markov chain for perfect matchings"
    - "canonical paths for mcmc from art to science"
    - "a simple fptas for counting edge covers"
    - "approximating holant problems by winding"
    - "correlation decay up to uniqueness in spin systems"
    - "complexity of counting csp with complex weights"

Connected through hyperedge HE-4 (induced by source paper "clifford gates in the holant framework"):
  with members:
    - "the complexity of holant problems over boolean domain with non negative weights"
    - "basis collapse for holographic algorithms over all domain sizes"
    - "a holant dichotomy is the fkt algorithm universal"
    - "base collapse of holographic algorithms"
    - "holographic algorithms beyond matchgates"
    - "a complete dichotomy rises from the capture of vanishing signatures"

Connected through hyperedge HE-5 (induced by source paper "gadgets and anti gadgets leading to a complexity dichotomy"):
  with members:
    - "a complete dichotomy rises from the capture of vanishing signatures"
    - "an effective dichotomy for the counting constraint satisfaction problem"
    - "holographic algorithms with matchgates capture precisely tractable planar csp"
    - "non negative weighted csps an effective complexity dichotomy"
    - "holant problems for regular graphs with complex edge functions"
    - "from holant to csp and back dichotomy for holant c problems"
    - "a decidable dichotomy theorem on directed graph homomorphisms with non negative weights"
    - "graph homomorphisms with complex values a dichotomy theorem"

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)