human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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.

Includes members:
  Member "improved hardness for h colourings of g colourable graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the generalized orthogonality dimension of generalized kneser graphs bounds and applications")
  Member "simplified inpproximability of hypergraph coloring via t agreeing families":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "improved hardness for h colourings of g colourable graphs")
  Member "an algorithmic blend of lps and ring equations for promise csps":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the power of the combined basic lp and affine relaxation for promise csps")
  Member "improved inapproximability of rainbow coloring":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "improved hardness for h colourings of g colourable graphs")
  Member "algebraic approach to promise constraint satisfaction":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the generalized orthogonality dimension of generalized kneser graphs bounds and applications")
  Member "a dichotomy theorem for nonuniform csps":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "the proof of csp dichotomy conjecture":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "optimal polynomial time compression for boolean max csp")
  Member "robustly solvable constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "improved hardness for h colourings of g colourable graphs")

Question: Please tell me which class the source paper 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)