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 "on giant components and treewidth in the layers model"):
  Abstract: Given an undirected n-vertex graph G(V, E) and an integer k, let Tk(G) denote the random vertex induced subgraph of G generated by ordering V according to a random permutation π and including in Tk(G) those vertices with at most k – 1 of their neighbors preceding them in this order. The distribution of subgraphs sampled in this manner is called the layers model with parameter k. The layers model has found applications in studying l-degenerate subgraphs, the design of algorithms for the maximum independent set problem, and in bootstrap percolation. In the current work we expand the study of structural properties of the layers model. We prove that there are 3-regular graphs G for which with high probability T3(G) has a connected component of size , and moreover, T3(G) has treewidth . In contrast, T2(G) is known to be a forest (hence of treewidth 1), and we prove that if G is of bounded degree then with high probability the largest connected component in T2(G) is of size . We also consider the infinite grid , for which we prove that contains a unique infinite connected component with probability 1.© 2015 Wiley Periodicals, Inc. Random Struct. Alg., 2015

Includes members:
  Member "converting online algorithms to local computation algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "seeing far vs seeing wide volume complexity of local graph problems")
  Member "recoverable values for independent sets":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on percolation and np hardness")

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)