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 "total variation discrepancy of deterministic random walks for ergodic markov chains"):
  Abstract: Motivated by a derandomization of Markov chain Monte Carlo (MCMC), this paper investigates deterministic random walks, which is a deterministic process analogous to a random walk. While there are several progresses on the analysis of the vertex-wise discrepancy (i.e., $L_\infty$ discrepancy), little is known about the {\em total variation discrepancy} (i.e., $L_1$ discrepancy), which plays a significant role in the analysis of an FPRAS based on MCMC. This paper investigates upper bounds of the $L_1$ discrepancy between the expected number of tokens in a Markov chain and the number of tokens in its corresponding deterministic random walk. First, we give a simple but nontrivial upper bound ${\rm O}(mt^*)$ of the $L_1$ discrepancy for any ergodic Markov chains, where $m$ is the number of edges of the transition diagram and $t^*$ is the mixing time of the Markov chain. Then, we give a better upper bound ${\rm O}(m\sqrt{t^*\log t^*})$ for non-oblivious deterministic random walks, if the corresponding Markov chain is ergodic and lazy. We also present some lower bounds.

Includes members:
  Member "lock in problem for parallel rotor router walks":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the cover time of deterministic random walks for general transition probabilities")
  Member "improved analysis of deterministic load balancing schemes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "discrepancy analysis of a new randomized diffusion algorithm for weighted round matrices")
  Member "deterministic random walks for rapidly mixing chains":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "discrepancy analysis of a new randomized diffusion algorithm for weighted round matrices")
  Member "quasirandom load balancing":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "discrepancy analysis of a new randomized diffusion algorithm for weighted round matrices")
  Member "a deterministic polynomial time approximation scheme for counting knapsack solutions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "approximate knapsack computations to count semi fair allocations")
  Member "polynomial time approximation schemes for knapsack and related counting problems using branching programs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the distribution function of the longest path length in constant treewidth dags with random edge length")

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)