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 digraph homomorphism problems two algorithms"
  Abstract: Update : An issue has been found in the correctness of our algorithm, and we are working to resolve the issue. Until a resolution is found, we retract our main claim that our approach gives a combinatorial solution to the CSP conjecture. We remain hopeful that we can resolve the issues. We thank Ross Willard for carefully checking the algorithm and pointing out the mistake in the version of this manuscript. We briefly explain one issue at the beginning of the text, and leave the rest of the manuscript intact for the moment . Ross Willard is posting a more involved description of a counter-example to the algorithm in the present manuscript. We have an updated manuscript that corrects some issues while still not arriving at a full solution; we will keep this private as long as unresolved issues remain. #R##N#Previous abstract : We consider the problem of finding a homomorphism from an input digraph G to a fixed digraph H. We show that if H admits a weak-near-unanimity polymorphism $\phi$ then deciding whether G admits a homomorphism to H (HOM(H)) is polynomial time solvable. This confirms the conjecture of Maroti and McKenzie, and consequently implies the validity of the celebrated dichotomy conjecture due to Feder and Vardi. We transform the problem into an instance of the list homomorphism problem where initially all the lists are full (contain all the vertices of H). Then we use the polymorphism $\phi$ as a guide to reduce the lists to singleton lists, which yields a homomorphism if one exists.

Connected through hyperedge HE-1 (induced by source paper "counting restricted homomorphisms via m obius inversion over matroid lattices"):
  with members:
    - "homomorphisms are a good basis for counting small subgraphs"
    - "a dichotomy theorem for nonuniform csps"
    - "the proof of csp dichotomy conjecture"
    - "counting edge injective homomorphisms and matchings on restricted graph classes"
    - "the parameterized complexity of k biclique"
    - "an approximation trichotomy for boolean csp"
    - "note on counting eulerian circuits"

Connected through hyperedge HE-2 (induced by source paper "promise constraint satisfaction algebraic structure and a symmetric boolean dichotomy"):
  with members:
    - "combinatorial optimization algorithms via polymorphisms"
    - "a finer reduction of constraint problems to digraphs"
    - "the complexity of general valued csps"
    - "conservative constraint satisfaction re revisited"

Connected through hyperedge HE-3 (induced by source paper "the complexity of tropical graph homomorphisms"):
  with members:
    - "the complexity of signed graph and edge coloured graph homomorphisms"

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)