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: "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.

Connected through hyperedge HE-1 (induced by source paper "the generalized orthogonality dimension of generalized kneser graphs bounds and applications"):
  with members:
    - "approximating the orthogonality dimension of graphs and hypergraphs"
    - "on a fractional version of haemers bound"
    - "algebraic approach to promise constraint satisfaction"
    - "on minrank and forbidden subgraphs"
    - "matrix rigidity and the croot lev pach lemma"
    - "probabilistic rank and matrix rigidity"
    - "linear index coding via semidefinite programming"
    - "conditional hardness for approximate coloring"

Connected through hyperedge HE-2 (induced by source paper "the complexity of 3 colouring h colourable graphs"):
  with members:
    - "simplified inpproximability of hypergraph coloring via t agreeing families"
    - "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"
    - "the proof of csp dichotomy conjecture"
    - "robustly solvable constraint satisfaction problems"
    - "improved hardness of approximating chromatic number"

Connected through hyperedge HE-3 (induced by source paper "symmetric polymorphisms and efficient decidability of promise csps"):
  with members:
    - "the complexity of 3 colouring h 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)