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: "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.

Connected through hyperedge HE-1 (induced by source paper "a polynomial version of cereceda s conjecture"):
  with members:
    - "reoptimization of parameterized problems"
    - "towards cereceda s conjecture for planar graphs"
    - "improved bounds for randomly sampling colorings via linear programming"
    - "on a conjecture of mohar concerning kempe equivalence of regular graphs"
    - "recoloring graphs via tree decompositions"
    - "flipping edge labelled triangulations"

Connected through hyperedge HE-2 (induced by source paper "distributed recoloring"):
  with members:
    - "an exponential separation between randomized and deterministic complexity in the local model"
    - "kempe equivalence of colourings of cubic graphs"
    - "on a conjecture of mohar concerning kempe equivalence of regular graphs"
    - "recoloring graphs via tree decompositions"
    - "the complexity of change"

Connected through hyperedge HE-3 (induced by source paper "shortest reconfiguration of matchings"):
  with members:
    - "an improved fpt algorithm for the flip distance problem"
    - "solving the rubik s cube optimally is np complete"
    - "the complexity of independent set reconfiguration on bipartite graphs"
    - "flip distance between triangulations of a simple polygon is np complete"
    - "shortest reconfiguration of sliding tokens on a caterpillar"
    - "flip distance between triangulations of a planar point set is apx hard"
    - "recoloring graphs via tree decompositions"
    - "shortest reconfiguration paths in the solution space of boolean formulas"

Connected through hyperedge HE-4 (induced by source paper "partitioning a graph into degenerate subgraphs"):
  with members:
    - "recognizing graphs close to bipartite graphs with an application to colouring reconfiguration"
    - "kempe equivalence of colourings of cubic graphs"
    - "brooks vertex colouring theorem in linear time"

Connected through hyperedge HE-5 (induced by source paper "towards cereceda s conjecture for planar graphs"):
  with members:
    - "recoloring graphs via tree decompositions"

Connected through hyperedge HE-6 (induced by source paper "token jumping in minor closed classes"):
  with members:
    - "token sliding on chordal graphs"
    - "identifying codes in hereditary classes of graphs and vc dimension"
    - "kempe equivalence of colourings of cubic graphs"
    - "on a conjecture of mohar concerning kempe equivalence of regular graphs"
    - "reconfiguration on sparse graphs"
    - "reconfiguring independent sets in claw free graphs"
    - "reconfiguration over tree decompositions"
    - "reconfiguring independent sets in cographs"

Connected through hyperedge HE-7 (induced by source paper "token sliding on chordal graphs"):
  with members:
    - "kempe equivalence of colourings of cubic graphs"
    - "on a conjecture of mohar concerning kempe equivalence of regular graphs"
    - "shortest reconfiguration of sliding tokens on a caterpillar"
    - "reconfiguring independent sets in claw free graphs"
    - "reconfiguring independent sets in cographs"
    - "fixed parameter tractability of token jumping on planar graphs"
    - "independent set reconfiguration in cographs"
    - "recoloring bounded treewidth graphs"

Connected through hyperedge HE-8 (induced by source paper "using contracted solution graphs for solving reconfiguration problems"):
  with members:
    - "recognizing graphs close to bipartite graphs with an application to colouring reconfiguration"
    - "parameterized complexity of the list coloring reconfiguration problem with graph parameters"
    - "parameterized complexity of graph constraint logic"
    - "the complexity of dominating set reconfiguration"
    - "the list coloring reconfiguration problem for bounded pathwidth graphs"
    - "reconfiguration on sparse graphs"
    - "reconfiguring independent sets in claw free graphs"
    - "recoloring graphs via tree decompositions"

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)