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 "simple strategies versus optimal schedules in multi agent patrolling"):
  Abstract: Suppose that we want to patrol a fence (line segment) using k mobile agents with given speeds v_1, ..., v_k so that every point on the fence is visited by an agent at least once in every unit time period. A simple strategy where the i-th agent moves back and forth in a segment of length v_i/2 patrols the length (v_1 + ... + v_k)/2, but it has been shown recently that this is not always optimal. Thus a natural question is to determine the smallest c such that a fence of length c(v_1 + ... + v_k)/2 cannot be patrolled. We give an example showing c >= 4/3 (and conjecture that this is the best possible). We also consider a variant of this problem where we want to patrol a circle and the agents can move only clockwise. We can patrol a circle of perimeter r v_r by a simple strategy where the r fastest agents move at the same speed. We give an example where we can achieve the perimeter of 1.05 max_r r v_r (and conjecture that this constant can be arbitrary big). We propose another variant where we want to patrol a single point under the constraint that each agent i = 1, ..., k can visit the point only at a predefined interval of a_i or longer. This problem can be reduced to the discretized version where the a_i are integers and the goal is to visit the point at every integer time. It is easy to see that this discretized patrolling is impossible if 1/a_1 + ... + 1/a_k  = 2. Thus we are interested in the smallest c such that patrolling is always possible if 1/a_1 + ... + 1/a_k >= c. We prove that alpha <= c < 1.546, where alpha = 1.264... (and conjecture that c = alpha). We also discuss the computational complexity of related problems.

Includes members:
  Member "fence patrolling by mobile agents with distinct speeds":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "patrolling on dynamic ring networks")
  Member "on fence patrolling by mobile agents":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "computing the k resilience of a synchronized multi robot system")

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.DS(Data Structures and Algorithms)