human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "the role of visibility in pursuit evasion games"
  Abstract: The cops-and-robber (CR) game has been used in mobile robotics as a discretized model (played on a graph G) of pursuit/evasion problems. The "classic" CR version is a perfect information game: the cops' (pursuer's) location is always known to the robber (evader) and vice versa. Many variants of the classic game can be defined: the robber can be invisible and also the robber can be either adversarial (tries to avoid capture) or drunk (performs a random walk). Furthermore, the cops and robber can reside in either nodes or edges of G. Several of these variants are relevant as models or robotic pursuit / evasion. In this paper, we first define carefully several of the variants mentioned above and related quantities such as the cop number and the capture time. Then we introduce and study the cost of visibility (COV), a quantitative measure of the increase in difficulty (from the cops' point of view) when the robber is invisible. In addition to our theoretical results, we present algorithms which can be used to compute capture times and COV of graphs which are analytically intractable. Finally, we present the results of applying these algorithms to the numerical computation of COV.

Connected through hyperedge HE-1 (induced by source paper "a game of cops and robbers on graphs with periodic edge connectivity"):
  with members:
    - "an introduction to temporal graphs an algorithmic perspective"
    - "cops and robbers game theory and zermelo s early results"
    - "time varying graphs and dynamic networks"

Connected through hyperedge HE-2 (induced by source paper "selfish cops and active robber multi player pursuit evasion on graphs"):
  with members:
    - "generalized cops and robbers a multi player pursuit game on graphs"
    - "selfish cops and passive robber qualitative games"
    - "simultaneously moving cops and robbers"
    - "cops and invisible robbers the cost of drunkenness"

Connected through hyperedge HE-3 (induced by source paper "selfish cops and passive robber part i qualitative games"):
  with members:
    - "simultaneously moving cops and robbers"
    - "cops and robbers game theory and zermelo s early results"
    - "cops and invisible robbers the cost of drunkenness"

Connected through hyperedge HE-4 (induced by source paper "selfish cops and passive robber qualitative games"):
  with members:
    - "simultaneously moving cops and robbers"
    - "cops and invisible robbers the cost of drunkenness"

Connected through hyperedge HE-5 (induced by source paper "simultaneously moving cops and robbers"):
  with members:
    - "cops and robbers game theory and zermelo s early results"
    - "cops and invisible robbers the cost of drunkenness"
    - "some remarks on cops and drunk robbers"

Connected through hyperedge HE-6 (induced by source paper "a probabilistic version of the game of zombies and survivors on graphs"):
  with members:
    - "cops and invisible robbers the cost of drunkenness"
    - "cop and robber games when the robber can hide and ride"

Question: Please tell me which class the center node 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)