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 "cograph editing merging modules is equivalent to editing p4 s"):
  Abstract: The modular decomposition of a graph $G=(V,E)$ does not contain prime modules if and only if $G$ is a cograph, that is, if no quadruple of vertices induces a simple connected path $P_4$. The cograph editing problem consists in inserting into and deleting from $G$ a set $F$ of edges so that $H=(V,E\Delta F)$ is a cograph and $|F|$ is minimum. This NP-hard combinatorial optimization problem has recently found applications, e.g., in the context of phylogenetics. Efficient heuristics are hence of practical importance. The simple characterization of cographs in terms of their modular decomposition suggests that instead of editing $G$ one could operate directly on the modular decomposition. We show here that editing the induced $P_4$s is equivalent to resolving prime modules by means of a suitable defined merge operation on the submodules. Moreover, we characterize so-called module-preserving edit sets and demonstrate that optimal pairwise sequences of module-preserving edit sets exist for every non-cograph. This eventually leads to an exact algorithm for the cograph editing problem. In addition, we provide two heuristics with time complexity $O(|V|^3)$, resp., $O(|V|^2)$.

Includes members:
  Member "exact and heuristic algorithms for cograph editing":
    also connected through other hyperedges:
      (none)
  Member "reconstructing gene trees from fitch s xenology relation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "generalized fitch graphs iii symmetrized fitch maps and sets of symmetric binary relations that are explained by unrooted edge labeled trees")
  Member "partial homology relations satisfiability in terms of di cographs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on characterizations for subclasses of directed co graphs")
  Member "the mathematics of xenology di cographs symbolic ultrametrics 2 structures and tree representable systems of binary relations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "generalized fitch graphs iii symmetrized fitch maps and sets of symmetric binary relations that are explained by unrooted edge labeled trees")
  Member "phylogenomics with paralogs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "faster and enhanced inclusion minimal cograph completion")
  Member "on symbolic ultrametrics cotree representations and cograph edge decompositions and partitions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "forbidden time travel characterization of time consistent tree reconciliation maps")
  Member "on tree representations of relations and graphs symbolic ultrametrics and cograph edge decompositions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "forbidden time travel characterization of time consistent tree reconciliation maps")
  Member "parameterized algorithms for modular width":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "iterated type partitions")

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)