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 "downgrading to minimize connectivity"):
  Abstract: We study the problem of interdicting a directed graph by deleting nodes with the goal of minimizing the local edge connectivity of the remaining graph from a given source to a sink. We show hardness of obtaining strictly unicriterion approximations for this basic vertex interdiction problem. We also introduce and study a general downgrading variant of the interdiction problem where the capacity of an arc is a function of the subset of its endpoints that are downgraded, and the goal is to minimize the downgraded capacity of a minimum source-sink cut subject to a node downgrading budget. This models the case when both ends of an arc must be downgraded to remove it, for example. #R##N#For this generalization, we provide a bicriteria $(4,4)$-approximation that downgrades nodes with total weight at most 4 times the budget and provides a solution where the downgraded connectivity from the source to the sink is at most 4 times that in an optimal solution. WE accomplish this with an LP relaxation and round using a ball-growing algorithm based on the LP values. We further generalize the downgrading problem to one where each vertex can be downgraded to one of $k$ levels, and the arc capacities are functions of the pairs of levels to which its ends are downgraded. We generalize our LP rounding to get $(4k,4k)$-approximation for this case.

Includes members:
  Member "improved algorithms for mst and metric tsp interdiction":
    also connected through other hyperedges:
      (none)
  Member "hardness and approximation for network flow interdiction":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the robustness of distributed computing networks")
  Member "simple and fast rounding algorithms for directed and node weighted multiway cut":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "hypergraph cuts with general splitting functions")
  Member "an o 1 approximation for minimum spanning tree interdiction":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "improved algorithms for mst and metric tsp interdiction")
  Member "improved region growing and combinatorial algorithms for k route cut problems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "improved algorithms for mst and metric tsp interdiction")
  Member "multiway cut pairwise realizable distributions and descending thresholds":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "optimizing item and subgroup configurations for social aware vr shopping")
  Member "approximation algorithms and hardness of the k route cut problem":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a note on degree vs gap of min rep label cover and improved inapproximability for connectivity problems")

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)