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 "almost global problems in the local model"):
  Abstract: The landscape of the distributed time complexity is nowadays well-understood for subpolynomial complexities. When we look at deterministic algorithms in the LOCAL model and locally checkable problems (LCLs) in bounded-degree graphs, the following picture emerges: #R##N#- There are lots of problems with time complexities $\Theta(\log^* n)$ or $\Theta(\log n)$. #R##N#- It is not possible to have a problem with complexity between $\omega(\log^* n)$ and $o(\log n)$. #R##N#- In general graphs, we can construct LCL problems with infinitely many complexities between $\omega(\log n)$ and $n^{o(1)}$. #R##N#- In trees, problems with such complexities do not exist. #R##N#However, the high end of the complexity spectrum was left open by prior work. In general graphs there are problems with complexities of the form $\Theta(n^\alpha)$ for any rational $0 < \alpha \le 1/2$, while for trees only complexities of the form $\Theta(n^{1/k})$ are known. No LCL problem with complexity between $\omega(\sqrt{n})$ and $o(n)$ is known, and neither are there results that would show that such problems do not exist. We show that: #R##N#- In general graphs, we can construct LCL problems with infinitely many complexities between $\omega(\sqrt{n})$ and $o(n)$. #R##N#- In trees, problems with such complexities do not exist. #R##N#Put otherwise, we show that any LCL with a complexity $o(n)$ can be solved in time $O(\sqrt{n})$ in trees, while the same is not true in general graphs.

Includes members:
  Member "new classes of distributed time complexity":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "distributed graph problems through an automata theoretic lens")
  Member "a time hierarchy theorem for the local model":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "distributed graph problems through an automata theoretic lens")
  Member "an exponential separation between randomized and deterministic complexity in the local model":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "truly tight in delta bounds for bipartite maximal matching and variants")
  Member "a lower bound for the distributed lov asz local lemma":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "distributed edge coloring in time quasi polylogarithmic in delta")

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.DC(Distributed, Parallel, and Cluster Computing)