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 "an optimal xp algorithm for hamiltonian cycle on graphs of bounded clique width"):
  Abstract: For MSO$_2$-expressible problems like Edge Dominating Set or Hamiltonian Cycle, it was open for a long time whether there is an algorithm which given a clique-width $k$-expression of an $n$-vertex graph runs in time $f(k) \cdot n^{\mathcal{O}(1)}$ for some function $f$. Recently, Fomin et al. (\emph{SIAM. J. Computing}, 2014) presented several lower bounds; for instance, there are no $f(k)\cdot n^{o(k)}$-time algorithms for Edge Dominating Set and for Hamiltonian Cycle unless the Exponential Time Hypothesis (ETH) fails. They also provided an algorithm running in time $n^{\mathcal{O}(k)}$ for Edge Dominating Set, but left open whether Hamiltonian Cycle can be solved in time $n^{\mathcal{O}(k)}$. #R##N#In this paper, we prove that Hamiltonian Cycle can be solved in time $n^{\mathcal{O}(k)}$. This improves the naive algorithm that runs in time $n^{\mathcal{O}(k^2)}$ by Espelage et al. (WG 2001). We present a general technique of representative sets using two-edge colored multigraphs on $k$ vertices. The essential idea behind is that for a two-edge colored multigraph, the existence of an Eulerian trail that uses edges with different colors alternatively can be determined by two information, that are the number of colored edges incident with each vertex and the number of connected components containing an edge. This allows to avoid storing all possible graphs on $k$ vertices with at most $n$ edges, which gives the $n^{\mathcal{O}(k^2)}$ running time.

Includes members:
  Member "rank based approach on graphs with structured neighborhood":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the complexity of finding large odd induced subgraphs and odd colorings")
  Member "solving connectivity problems parameterized by treewidth in single exponential time":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "hamiltonian cycle parameterized by treedepth in single exponential time and polynomial space")
  Member "a comparison of two approaches for polynomial time algorithms computing basic graph parameters":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "oriented coloring on recursively defined digraphs")

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.DS(Data Structures and Algorithms)