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 "stable matchings robust solutions and distributive lattices"):
  Abstract: A stable matching instance $A$ is transmitted over a channel which introduces {\em one error} from a super-exponentially large set, $T$; the error consists of arbitrarily permuting the preference list of any one boy or any one girl. An arbitrary set $S \subseteq T$ is specified. We give an $O(|S| p(n))$ time algorithm for finding a matching that is stable for $A$ and for each of the $|S|$ instances that result by introducing one error from $S$, where $p$ is a polynomial function. In particular, if $S$ is polynomial sized, then our algorithm runs in polynomial time. Our algorithm is based on new, non-trivial structural properties of the lattice of stable matchings. #R##N#A second ingredient of our algorithm is a generalization of Birkhoff's Theorem for finite distributive lattices which states that corresponding to such a lattice, $\mathcal{L}$, there is a partial order, say $\Pi$, such that the lattice of closed sets of $\Pi$, $L(\Pi)$, is isomorphic to $\mathcal{L}$. Our generalization shows that corresponding to each sublattice $\mathcal{L}'$ of $\mathcal{L}$, there is a partial order $\Pi'$ that can be obtained from $\Pi$ (via a specified operation) such that $L(\Pi') \cong \mathcal{L}'$. This generalization is of independent interest.

Includes members:
  Member "a natural generalization of stable matching solved via new insights into ideal cuts":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "stable fractional matchings")
  Member "finding stable matchings that are robust to errors in the input":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "adapting stable matchings to evolving preferences")
  Member "finding robust solutions to stable marriage":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "adapting stable matchings to evolving preferences")
  Member "on the complexity of robust stable marriage":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "matchings under preferences strength of stability and trade offs")
  Member "stable matching with uncertain linear preferences":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "adapting stable matchings to evolving preferences")

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)