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 "distributed graph problems through an automata theoretic lens"):
  Abstract: We study the following algorithm synthesis question: given the description of a locally checkable graph problem $\Pi$ for paths or cycles, determine in which instances $\Pi$ is solvable, determine what is the distributed round complexity of solving $\Pi$ in the usual $\mathsf{LOCAL}$ model of distributed computing, and construct an asymptotically optimal distributed algorithm for solving $\Pi$. #R##N#To answer such questions, we represent $\Pi$ as a nondeterministic finite automaton $\mathcal{M}$ over a unary alphabet. We classify the states of $\mathcal{M}$ into repeatable states, flexible states, mirror-flexible states, loops, and mirror-flexible loops; all of these can be decided in polynomial time. We show that these five classes of states completely answer all questions related to the solvability and distributed computational complexity of $\Pi$ on cycles. #R##N#On paths, there is one case in which the question of solvability coincides with the classical universality problem for unary regular languages, and hence determining if a given problem $\Pi$ is always solvable is co-$\mathsf{NP}$-complete. However, we show that all other questions, including the question of determining the distributed round complexity of $\Pi$ and finding an asymptotically optimal algorithm for solving $\Pi$, can be answered in polynomial time.

Includes members:
  Member "classification of distributed binary labeling problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "truly tight in delta bounds for bipartite maximal matching and variants")
  Member "lower bounds for maximal matchings and maximal independent sets":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "distributed maximum matching verification in congest")
  Member "how much does randomness help with locally checkable problems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "seeing far vs seeing wide volume complexity of local graph problems")
  Member "almost global problems in the local model":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "seeing far vs seeing wide volume complexity of local graph problems")
  Member "the distributed complexity of locally checkable problems on paths is decidable":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "seeing far vs seeing wide volume complexity of local graph problems")
  Member "new classes of distributed time complexity":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "seeing far vs seeing wide volume complexity of local graph problems")
  Member "a time hierarchy theorem for the local model":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "smaller cuts higher lower bounds")
  Member "an exponential separation between randomized and deterministic complexity in the local model":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "truly tight in delta bounds for bipartite maximal matching and variants")

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)