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 polynomial version of cereceda s conjecture"):
  Abstract: Let k and d be such that k ≥ d + 2. Consider two k-colourings of a d-degenerate graph G. Can we transform one into the other by recolouring one vertex at each step while maintaining a proper coloring at any step? Cereceda et al. answered that question in the affirmative, and exhibited a recolouring sequence of exponential length. However, Cereceda conjectured that there should exist one of quadratic length. The k-reconfiguration graph of G is the graph whose vertices are the proper k-colourings of G, with an edge between two colourings if they differ on exactly one vertex. Cereceda's conjecture can be reformulated as follows: the diameter of the (d + 2)-reconfiguration graph of any d-degenerate graph on n vertices is O(n 2). So far, the existence of a polynomial diameter is open even for d = 2. In this paper, we prove that the diameter of the k-reconfiguration graph of a d-degenerate graph is O(n d+1) for k ≥ d + 2. Moreover, we prove that if k ≥ 3 2 (d + 1) then the diameter of the k-reconfiguration graph is quadratic, improving the previous bound of k ≥ 2d + 1. We also show that the 5-reconfiguration graph of planar bipartite graphs has quadratic diameter, confirming Cereceda's conjecture for this class of graphs.

Includes members:
  Member "reoptimization of parameterized problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "adapting stable matchings to evolving preferences")
  Member "towards cereceda s conjecture for planar graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "decreasing maximum average degree by deleting independent set or d degenerate subgraph")
  Member "improved bounds for randomly sampling colorings via linear programming":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "counting independent sets and colorings on random regular bipartite graphs")
  Member "on a conjecture of mohar concerning kempe equivalence of regular graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "dominating sets reconfiguration under token sliding")
  Member "a reconfigurations analogue of brooks theorem and its consequences":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "distributed recoloring")
  Member "recoloring graphs via tree decompositions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "distributed recoloring")
  Member "flipping edge labelled triangulations":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "linear transformations between colorings in chordal graphs")

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.DM(Discrete Mathematics)