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 "a reconfigurations analogue of brooks theorem and its consequences"):
  Abstract: Let $G$ be a simple undirected graph on $n$ vertices with maximum degree~$\Delta$. Brooks' Theorem states that $G$ has a $\Delta$-colouring unless~$G$ is a complete graph, or a cycle with an odd number of vertices. To recolour $G$ is to obtain a new proper colouring by changing the colour of one vertex. We show an analogue of Brooks' Theorem by proving that from any $k$-colouring, $k>\Delta$, a $\Delta$-colouring of $G$ can be obtained by a sequence of $O(n^2)$ recolourings using only the original $k$ colours unless $G$ is a complete graph or a cycle with an odd number of vertices, or $k=\Delta+1$, $G$ is $\Delta$-regular and, for each vertex $v$ in $G$, no two neighbours of $v$ are coloured alike. #R##N#We use this result to study the reconfiguration graph $R_k(G)$ of the $k$-colourings of $G$. The vertex set of $R_k(G)$ is the set of all possible $k$-colourings of $G$ and two colourings are adjacent if they differ on exactly one vertex. We prove that for $\Delta\geq 3$, $R_{\Delta+1}(G)$ consists of isolated vertices and at most one further component which has diameter $O(n^2)$. This result enables us to complete both a structural classification and an algorithmic classification for reconfigurations of colourings of graphs of bounded maximum degree.

Includes members:
  Member "reconfiguring independent sets in claw free graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "independent set reconfiguration parameterized by modular width")
  Member "vertex cover reconfiguration and beyond":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "decremental optimization of dominating sets under reachability constraints")
  Member "the complexity of bounded length graph recoloring":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the list coloring reconfiguration problem for bounded pathwidth graphs")
  Member "independent set reconfiguration in cographs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "token sliding on chordal graphs")
  Member "the connectivity of boolean satisfiability no constants and quantified variants":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the connectivity of boolean satisfiability dichotomies for formulas and circuits")
  Member "recoloring bounded treewidth graphs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "token jumping in minor closed classes")
  Member "the connectivity of boolean satisfiability dichotomies for formulas and circuits":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "a computational trichotomy for connectivity of boolean satisfiability")
  Member "on the parameterized complexity of reconfiguration problems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "dominating sets reconfiguration under token sliding")

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)