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 complexity dichotomy for colourful components problems on k caterpillars and small degree planar graphs"):
  Abstract: A connected component of a vertex-coloured graph is said to be colourful if all its vertices have different colours, and a graph is colourful if all its connected components are colourful. Given a vertex-coloured graph, the Colourful Components problem asks whether there exist at most $p$ edges whose removal makes the graph colourful, and the Colourful Partition problem asks whether there exists a partition of the vertex set with at most $p$ parts such that each part induces a colourful component. We study the problems on $k$-caterpillars (caterpillars with hairs of length at most $k$) and explore the boundary between polynomial and NP-complete cases. It is known that the problems are NP-complete on $2$-caterpillars with unbounded maximum degree. We prove that both problems remain NP-complete on binary $4$-caterpillars and on ternary $3$-caterpillars. This answers an open question regarding the complexity of the problems on trees with maximum degree at most $5$. On the positive side, we give a linear time algorithm for $1$-caterpillars with unbounded degree, even if the backbone is a cycle, which outperforms the previous best complexity on paths and widens the class of graphs. Finally, we answer an open question regarding the complexity of Colourful Components on graphs with maximum degree at most $5$. We show that the problem is NP-complete on $5$-coloured planar graphs with maximum degree $4$, and on $12$-coloured planar graphs with maximum degree $3$. Since the problem can be solved in polynomial-time on graphs with maximum degree $2$, the results are the best possible with regard to the maximum degree.

Includes members:
  Member "finding a small number of colourful components":
    also connected through other hyperedges:
      (none)
  Member "parameterized complexity and approximation issues for the colorful components problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "finding a small number of colourful components")
  Member "algorithmic and hardness results for the colorful components problems":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "parameterized complexity and approximation issues for the colorful components problems")
  Member "multicut is fpt":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "parameterized inapproximability for steiner orientation by gap amplification")
  Member "fixed parameter tractability of multicut parameterized by the size of the cutset":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the computational complexity of finding temporal paths under waiting time constraints")

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)