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 "improved hardness for h colourings of g colourable graphs"):
  Abstract: We present new results on approximate colourings of graphs and, more generally, approximate H-colourings and promise constraint satisfaction problems. #R##N#First, we show NP-hardness of colouring $k$-colourable graphs with $\binom{k}{\lfloor k/2\rfloor}-1$ colours for every $k\geq 4$. This improves the result of Bulin, Krokhin, and Oprsal [STOC'19], who gave NP-hardness of colouring $k$-colourable graphs with $2k-1$ colours for $k\geq 3$, and the result of Huang [APPROX-RANDOM'13], who gave NP-hardness of colouring $k$-colourable graphs with $2^{k^{1/3}}$ colours for sufficiently large $k$. Thus, for $k\geq 4$, we improve from known linear/sub-exponential gaps to exponential gaps. #R##N#Second, we show that the topology of the box complex of H alone determines whether H-colouring of G-colourable graphs is NP-hard for all (non-bipartite, H-colourable) G. This formalises the topological intuition behind the result of Krokhin and Oprsal [FOCS'19] that 3-colouring of G-colourable graphs is NP-hard for all (3-colourable, non-bipartite) G. We use this technique to establish NP-hardness of H-colouring of G-colourable graphs for H that include but go beyond $K_3$, including square-free graphs and circular cliques (leaving $K_4$ and larger cliques open). #R##N#Underlying all of our proofs is a very general observation that adjoint functors give reductions between promise constraint satisfaction problems.

Includes members:
  Member "the complexity of 3 colouring h colourable graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the complexity of promise sat on non boolean domains")
  Member "simplified inpproximability of hypergraph coloring via t agreeing families":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the complexity of 3 colouring h colourable graphs")
  Member "dichotomy for symmetric boolean pcsps":
    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 "an algorithmic blend of lps and ring equations for promise csps":
    also connected through other hyperedges:
      - Hyperedge HE-4 (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-5 (induced by source paper "the complexity of 3 colouring h colourable graphs")
  Member "algebraic approach to promise constraint satisfaction":
    also connected through other hyperedges:
      - Hyperedge HE-6 (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-7 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "robustly solvable constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "the complexity of 3 colouring h 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)