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 "on a conjecture of mohar concerning kempe equivalence of regular graphs"):
  Abstract: Let $G$ be a graph with a vertex colouring $\alpha$. Let $a$ and $b$ be two colours. Then a connected component of the subgraph induced by those vertices coloured either $a$ or $b$ is known as a Kempe chain. A colouring of $G$ obtained from $\alpha$ by swapping the colours on the vertices of a Kempe chain is said to have been obtained by a Kempe change. Two colourings of $G$ are Kempe equivalent if one can be obtained from the other by a sequence of Kempe changes. #R##N#A conjecture of Mohar (2007) asserts that, for $k \geq 3$, all $k$-colourings of a $k$-regular graph that is not complete are Kempe equivalent. It was later shown that all $3$-colourings of a cubic graph that is neither $K_4$ nor the triangular prism are Kempe equivalent. In this paper, we prove that the conjecture holds for each $k\geq 4$. We also report the implications of this result on the validity of the Wang-Swendsen-Koteck\'{y} algorithm for the antiferromagnetic Potts model at zero-temperature.

Includes members:
  Member "on the connectedness of clash free timetables":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "kempe equivalence of colourings of cubic graphs")
  Member "kempe equivalence of colourings of cubic graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "distributed recoloring")
  Member "a reconfigurations analogue of brooks theorem and its consequences":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a polynomial version of cereceda s conjecture")
  Member "recoloring graphs via tree decompositions":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a polynomial version of cereceda s conjecture")
  Member "finding shortest paths between graph colourings":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "shortest reconfiguration of perfect matchings via alternating cycles")
  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 complexity of change":
    also connected through other hyperedges:
      - Hyperedge HE-7 (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.DM(Discrete Mathematics)