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: "the complexity of 3 colouring h colourable graphs"
  Abstract: We study the complexity of approximation on satisfiable instances for graph homomorphism problems. For a fixed graph $H$, the $H$-colouring problem is to decide whether a given graph has a homomorphism to $H$. By a result of Hell and Nesetřil, this problem is NP-hard for any non-bipartite graph $H$. In the context of promise constraint satisfaction problems, Brakensiek and Guruswami conjectured that this hardness result extends to promise graph homomorphism as follows: fix any non-bipartite graph $H$ and another graph $G$ with a homomorphism from $H$ to $G$, it is NP-hard to find a homomorphism to $G$ from a given $H$-colourable graph. Arguably, the two most important special cases of this conjecture are when $H$ is fixed to be $K_3$ (and $G$ is any graph with a triangle) and when $G=K_3$ (and $H$ is any 3-colourable graph). The former case is equivalent to the notoriously difficult approximate graph colouring problem. In this paper, we confirm the Brakensiek-Guruswami conjecture for the latter case. Our proofs rely on a novel combination of the universal-algebraic approach to promise constraint satisfaction, that was recently developed by Bulin and the authors, with some ideas from algebraic topology.

Connected through hyperedge HE-1 (induced by source paper "improved hardness for h colourings of g colourable graphs"):
  with members:
    - "simplified inpproximability of hypergraph coloring via t agreeing families"
    - "dichotomy for symmetric boolean pcsps"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a dichotomy theorem for nonuniform csps"
    - "robustly solvable constraint satisfaction problems"
    - "improved hardness of approximating chromatic number"

Connected through hyperedge HE-2 (induced by source paper "the complexity of promise sat on non boolean domains"):
  with members:
    - "symmetric polymorphisms and efficient decidability of promise csps"
    - "dichotomy for symmetric boolean pcsps"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "improved inapproximability of rainbow coloring"
    - "algebraic approach to promise constraint satisfaction"
    - "a new multilayered pcp and the hardness of hypergraph vertex cover"

Connected through hyperedge HE-3 (induced by source paper "symmetric polymorphisms and efficient decidability of promise csps"):
  with members:
    - "improved hardness for h colourings of g colourable graphs"
    - "an algorithmic blend of lps and ring equations for promise csps"
    - "algebraic approach to promise constraint satisfaction"
    - "the proof of csp dichotomy conjecture"
    - "absorbing subalgebras cyclic terms and the constraint satisfaction problem"

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)