human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "partial homology relations satisfiability in terms of di cographs"
  Abstract: Directed cographs (di-cographs) play a crucial role in the reconstruction of evolutionary histories of genes based on homology relations which are binary relations between genes. A variety of methods based on pairwise sequence comparisons can be used to infer such homology relations (e.g.\ orthology, paralogy, xenology). They are \emph{satisfiable} if the relations can be explained by an event-labeled gene tree, i.e., they can simultaneously co-exist in an evolutionary history of the underlying genes. Every gene tree is equivalently interpreted as a so-called cotree that entirely encodes the structure of a di-cograph. Thus, satisfiable homology relations must necessarily form a di-cograph. The inferred homology relations might not cover each pair of genes and thus, provide only partial knowledge on the full set of homology relations. Moreover, for particular pairs of genes, it might be known with a high degree of certainty that they are not orthologs (resp.\ paralogs, xenologs) which yields forbidden pairs of genes. Motivated by this observation, we characterize (partial) satisfiable homology relations with or without forbidden gene pairs, provide a quadratic-time algorithm for their recognition and for the computation of a cotree that explains the given relations.

Connected through hyperedge HE-1 (induced by source paper "on characterizations for subclasses of directed co graphs"):
  with members:
    - "oriented coloring on recursively defined digraphs"
    - "comparing linear width parameters for directed graphs"
    - "computing directed path width and directed tree width of recursively defined digraphs"

Connected through hyperedge HE-2 (induced by source paper "cograph editing merging modules is equivalent to editing p4 s"):
  with members:
    - "exact and heuristic algorithms for cograph editing"
    - "reconstructing gene trees from fitch s xenology relation"
    - "the mathematics of xenology di cographs symbolic ultrametrics 2 structures and tree representable systems of binary relations"
    - "phylogenomics with paralogs"
    - "on symbolic ultrametrics cotree representations and cograph edge decompositions and partitions"
    - "on tree representations of relations and graphs symbolic ultrametrics and cograph edge decompositions"
    - "parameterized algorithms for modular width"
    - "on the non existence of polynomial kernels for p l free edge modification problems"

Connected through hyperedge HE-3 (induced by source paper "reconstructing gene trees from fitch s xenology relation"):
  with members:
    - "generalized fitch graphs edge labeled graphs that are explained by edge labeled trees"
    - "from event labeled gene trees to species trees"
    - "the mathematics of xenology di cographs symbolic ultrametrics 2 structures and tree representable systems of binary relations"
    - "phylogenomics with paralogs"
    - "on tree representations of relations and graphs symbolic ultrametrics and cograph edge decompositions"

Question: Please tell me which class the center node 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)