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: "a deterministic polynomial time approximation scheme for counting knapsack solutions"
  Abstract: Given n elements with nonnegative integer weights w1,..., wn and an integer capacity C, we consider the counting version of the classic knapsack problem: find the number of distinct subsets whose weights add up to at most the given capacity. We give a deterministic algorithm that estimates the number of solutions to within relative error 1+-eps in time polynomial in n and 1/eps (fully polynomial approximation scheme). More precisely, our algorithm takes time O(n^3 (1/eps) log (n/eps)). Our algorithm is based on dynamic programming. Previously, randomized polynomial time approximation schemes were known first by Morris and Sinclair via Markov chain Monte Carlo techniques, and subsequently by Dyer via dynamic programming and rejection sampling.

Connected through hyperedge HE-1 (induced by source paper "approximate knapsack computations to count semi fair allocations"):
  with members:
    - "a faster fptas for knapsack problem with cardinality constraint"
    - "a faster fptas for the subset sums ratio problem"
    - "comparing approximate relaxations of envy freeness"

Connected through hyperedge HE-2 (induced by source paper "an fptas for the volume of a cal v polytope it is hard to compute the volume of the intersection of two cross polytopes"):
  with members:
    - "a fully polynomial time approximation scheme for approximating a sum of random variables"
    - "a simple fptas for counting edge covers"
    - "near optimal deterministic algorithms for volume computation via m ellipsoids"
    - "correlation decay up to uniqueness in spin systems"
    - "approximate counting via correlation decay in spin systems"
    - "polynomial time approximation schemes for knapsack and related counting problems using branching programs"

Connected through hyperedge HE-3 (induced by source paper "fully polynomial time approximation schemes fptas for some counting problems"):
  with members:
    - "polynomial time approximation schemes for knapsack and related counting problems using branching programs"

Connected through hyperedge HE-4 (induced by source paper "total variation discrepancy of deterministic random walks for ergodic markov chains"):
  with members:
    - "lock in problem for parallel rotor router walks"
    - "improved analysis of deterministic load balancing schemes"
    - "deterministic random walks for rapidly mixing chains"
    - "quasirandom load balancing"
    - "polynomial time approximation schemes for knapsack and related counting problems using branching programs"

Connected through hyperedge HE-5 (induced by source paper "a fully polynomial time approximation scheme for approximating a sum of random variables"):
  with members:
    - "stochastic combinatorial optimization via poisson approximation"
    - "maximizing expected utility for stochastic combinatorial optimization problems"

Connected through hyperedge HE-6 (induced by source paper "combinatorial decomposition approaches for efficient counting and random generation fptases"):
  with members:
    - "counting approximately shortest paths in directed acyclic graphs"
    - "polynomial time approximation schemes for knapsack and related counting problems using branching programs"
    - "generating connected acyclic digraphs uniformly at random"

Connected through hyperedge HE-7 (induced by source paper "counting approximately shortest paths in directed acyclic graphs"):
  with members:
    - "a dynamic programming approach to de novo peptide sequencing via tandem mass spectrometry"

Connected through hyperedge HE-8 (induced by source paper "approximate counting via correlation decay in spin systems"):
  with members:
    - "a polynomial time algorithm for estimating the partition function of the ferromagnetic ising model on a regular matroid"
    - "inapproximability of the tutte polynomial of a planar graph"
    - "approximating the partition function of the ferromagnetic potts model"
    - "approximation algorithms for two state anti ferromagnetic spin systems on bounded degree graphs"
    - "improved inapproximability results for counting independent sets in the hard core model"
    - "polynomial time approximation schemes for knapsack and related counting problems using branching programs"
    - "non negative weighted csps an effective complexity dichotomy"
    - "computational transition at the uniqueness threshold"

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.DS(Data Structures and Algorithms)