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: "lp based algorithms for capacitated facility location"
  Abstract: Linear programming has played a key role in the study of algorithms for combinatorial optimization problems. In the field of approximation algorithms, this is well illustrated by the uncapacitated facility location problem. A variety of algorithmic methodologies, such as LP-rounding and primal-dual method, have been applied to and evolved from algorithms for this problem. Unfortunately, this collection of powerful algorithmic techniques had not yet been applicable to the more general capacitated facility location problem. In fact, all of the known algorithms with good performance guarantees were based on a single technique, local search, and no linear programming relaxation was known to efficiently approximate the problem. #R##N#In this paper, we present a linear programming relaxation with constant integrality gap for capacitated facility location. We demonstrate that the fundamental theories of multi-commodity flows and matchings provide key insights that lead to the strong relaxation. Our algorithmic proof of integrality gap is obtained by finally accessing the rich toolbox of LP-based methodologies: we present a constant factor approximation algorithm based on LP-rounding.

Connected through hyperedge HE-1 (induced by source paper "easy capacitated facility location problems with connections to lot sizing"):
  with members:
    - "analytical approach to parallel repetition"

Connected through hyperedge HE-2 (induced by source paper "streaming balanced clustering"):
  with members:
    - "a constant parameterized approximation for hard capacitated k means"
    - "performance of johnson lindenstrauss transform for k means and k medians clustering"
    - "constant factor fpt approximation for capacitated k median"
    - "nearly optimal dynamic k means clustering for high dimensional data"
    - "relative error tensor low rank approximation"
    - "clustering high dimensional dynamic data streams"
    - "distributed low rank approximation of implicit functions of a matrix"
    - "new frameworks for offline and streaming coreset constructions"

Connected through hyperedge HE-3 (induced by source paper "constant factor approximation algorithms for parity constrained facility location problems"):
  with members:
    - "a tree structure for dynamic facility location"
    - "on facility location with general lower bounds"
    - "online facility location with deletions"
    - "optimal parameterized algorithms for planar facility location problems using voronoi diagrams"
    - "facility location in evolving metrics"
    - "eight fifth approximation for the path tsp"
    - "local search based approximation algorithms for mobile facility location problems"
    - "fast clustering with lower bounds no customer too far no shop too small"

Connected through hyperedge HE-4 (induced by source paper "a water filling primal dual algorithm for approximating non linear covering problems"):
  with members:
    - "geometry of scheduling on multiple machines"
    - "scheduling to approximate minimization objectives on identical machines"
    - "constant approximation algorithm for non uniform capacitated multi item lot sizing via strong covering inequalities"
    - "small extended formulation for knapsack cover inequalities from monotone circuits"
    - "a primal dual approximation algorithm for min sum single machine scheduling problems"
    - "how unsplittable flow covering helps scheduling with job dependent cost functions"
    - "the geometry of scheduling"

Connected through hyperedge HE-5 (induced by source paper "generalized center problems with outliers"):
  with members:
    - "a lottery model for center type problems with outliers"
    - "the heterogeneous capacitated k center problem"
    - "the non uniform k center problem"
    - "on uniform capacitated k median beyond the natural lp relaxation"
    - "approximating capacitated k median with 1 epsilon k open facilities"
    - "matroid and knapsack center problems"

Connected through hyperedge HE-6 (induced by source paper "improved approximation for tree augmentation saving by rewiring"):
  with members:
    - "a frac 3 2 approximation algorithm for tree augmentation via chvatal gomory cuts"
    - "on the tree augmentation problem"
    - "a simplified 1 5 approximation algorithm for augmenting edge connectivity of a graph from 1 to 2"
    - "approximating unweighted tree augmentation via lift and project part ii"

Connected through hyperedge HE-7 (induced by source paper "capacitated covering problems in geometric spaces"):
  with members:
    - "replica placement on bounded treewidth graphs"
    - "iterative partial rounding for vertex cover with hard capacities"
    - "capacitated dominating set on planar graphs"
    - "tight algorithms for vertex cover with hard capacities on multigraphs and hypergraphs"
    - "on uniform capacitated k median beyond the natural lp relaxation"
    - "analytical approach to parallel repetition"
    - "lp rounding for k centers with non uniform hard capacities"
    - "improved approximation algorithms for geometric set cover"

Connected through hyperedge HE-8 (induced by source paper "the heterogeneous capacitated k center problem"):
  with members:
    - "the non uniform k center problem"
    - "constant approximation for capacitated k median with 1 epsilon capacity violation"
    - "on uniform capacitated k median beyond the natural lp relaxation"
    - "approximating capacitated k median with 1 epsilon k open facilities"
    - "lp rounding for k centers with non uniform hard capacities"
    - "quasi polynomial local search for restricted max min fair allocation"
    - "approximability of capacitated network design"
    - "a new approximation technique for resource allocation problems"

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)