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 "detecting induced subgraphs"):
  Abstract: An s-graph is a graph with two kinds of edges: subdivisible edges and real edges. A realisation of an s-graph B is any graph obtained by subdividing subdivisible edges of B into paths of arbitrary length (at least one). Given an s-graph B, we study the decision problem @P"B whose instance is a graph G and question is ''Does G contain a realisation of B as an induced subgraph?''. For several B's, the complexity of @P"B is known and here we give the complexity for several more. Our NP-completeness proofs for @P"B's rely on the NP-completeness proof of the following problem. Let S be a set of graphs and d be an integer. Let @C"S^d be the problem whose instance is (G,x,y) where G is a graph whose maximum degree is at most d, with no induced subgraph in S and x,y@?V(G) are two non-adjacent vertices of degree 2. The question is ''Does G contain an induced cycle passing through x,y?''. Among several results, we prove that @C"0"@?^3 is NP-complete. We give a simple criterion on a connected graph H to decide whether @C"{"H"}^+^~ is polynomial or NP-complete. The polynomial cases rely on the algorithm three-in-a-tree, due to Chudnovsky and Seymour.

Includes members:
  Member "algorithms for square 3pc cdot cdot free berge graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "vertex elimination orderings for hereditary graph classes")
  Member "algorithms for perfectly contractile graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "three in a tree in near linear time")

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)