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 "clique stable set separation in perfect graphs with no balanced skew partitions"):
  Abstract: Inspired by a question of Yannakakis on the Vertex Packing polytope of perfect graphs, we study the Clique-Stable Set separation in a non-hereditary subclass of perfect graphs. A cut ( B , W ) of G (a bipartition of V ( G ) ) separates a clique K and a stable set S if K ? B and S ? W . A Clique-Stable Set separator is a family of cuts such that for every clique K , and for every stable set S disjoint from K , there exists a cut in the family that separates K and S . Given a class of graphs, the question is to know whether every graph of the class admits a Clique-Stable Set separator containing only polynomially many cuts. It was recently proved to be false for the class of all graphs (Goos, 2015), but it remains open for perfect graphs, which was Yannakakis' original question. Here we investigate this problem on perfect graphs with no balanced skew-partition; the balanced skew-partition was introduced in the decomposition theorem of Berge graphs which led to the celebrated proof of the Strong Perfect Graph Theorem. Recently, Chudnovsky, Trotignon, Trunck and Vuskovic proved that forbidding this unfriendly decomposition permits to recursively decompose Berge graphs (more precisely, Berge trigraphs) using 2-join and complement 2-join until reaching a "basic" graph, and in this way, they found an efficient combinatorial algorithm to color those graphs.We apply their decomposition result to prove that perfect graphs with no balanced skew-partition admit a quadratic-size Clique-Stable Set separator, by taking advantage of the good behavior of 2-join with respect to this property. We then generalize this result and prove that the Strong Erd?s-Hajnal?property holds in this class, which means that every such graph has a linear-size biclique or complement biclique. This is remarkable since the property does not hold for all perfect graphs (Fox, 2006), and this is motivated here by the following statement: when the Strong Erd?s-Hajnal?property holds in a hereditary class of graphs, then both the Erd?s-Hajnal?property and the polynomial Clique-Stable Set separation hold. Finally, we define the generalized k -join and generalize both our results on classes of graphs admitting such a decomposition.

Includes members:
  Member "a polynomial turing kernel for weighted independent set in bull free graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a hierarchy of polynomial kernels")
  Member "clique versus independent set":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "ordered biclique partitions and communication complexity problems")
  Member "coloring perfect graphs with no balanced skew partitions":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a polynomial turing kernel for weighted independent set in bull free graphs")

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)