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 "graph sharing games complexity and connectivity"):
  Abstract: Abstract   We study the following combinatorial game played by two players, Alice and Bob, which generalizes the pizza game considered by Brown, Winkler and others. Given a connected graph    G    with non-negative weights assigned to its vertices, the players alternately take one vertex of    G    in each turn. The first turn is Alice’s. The vertices are to be taken according to one (or both) of the following two rules: (T) the subgraph of    G    induced by the taken vertices is connected during the whole game, (R) the subgraph of    G    induced by the remaining vertices is connected during the whole game. We show that if rules (T) and/or (R) are required then for every    e  >  0    and for every    k  ≥  1    there is a    k   -connected graph    G    for which Bob has a strategy to obtain     (  1  −  e  )     of the total weight of the vertices. This contrasts with the original pizza game played on a cycle, where Alice is known to have a strategy to obtain four-ninths of the total weight.  We show that the problem of deciding whether Alice has a winning strategy (i.e., a strategy to obtain more than half of the total weight) is PSPACE-complete if condition (R) or both conditions (T) and (R) are required. We also consider a game played on connected graphs (without weights) where the first player who violates condition (T) or (R) loses the game. We show that deciding who has the winning strategy is PSPACE-complete.

Includes members:
  Member "how to eat 4 9 of a pizza":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a doubly exponentially crumbled cake")
  Member "solution of peter winkler s pizza problem":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a doubly exponentially crumbled cake")

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)