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 "interactive particle systems on hypergraphs drift analysis and the walksat algorithm"):
  Abstract: We analyze the expected running time of WalkSAT, a well-known local search procedure for satisfiability solving, on satisfiable instances of the k-XOR SAT problem. We obtain estimates of this expected running time by reducing the problem to a setting amenable to classical techniques from drift analysis. #R##N#A crucial ingredient of this reduction is the definition of (new, explosive) hypergraph versions of interacting particle systems, notably of coalescing and annihilating random walks as well as the voter model. The use of these tools allows to show that the expected running time of WalkSAT depends on structural parameter (we call odd Cheeger drift) of the dual of the formula hypergraph.

Includes members:
  Member "the set of solutions of random xorsat formulae":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "parity queries for binary classification")
  Member "coalescing random walks and voting on connected graphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "robotic surveillance based on the meeting time of random walks")
  Member "the solution space geometry of random linear equations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "inside the clustering window for random linear equations")
  Member "relationship between clustering and algorithmic phase transitions in the random k xorsat model and its np complete extensions":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the satisfiability threshold for a seemingly intractable random constraint satisfaction problem")
  Member "on the dynamics of social balance on general networks with an application to xor sat":
    also connected through other hyperedges:
      (none)
  Member "spines of random constraint satisfaction problems definition and connection with computational complexity":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "geometric properties of satisfying assignments of random epsilon 1 in k sat")

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)