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 "matching is as easy as the decision problem in the nc model"):
  Abstract: Is matching in NC, i.e., is there a deterministic fast parallel algorithm for it? This has been an outstanding open question in TCS for over three decades, ever since the discovery of randomized NC matching algorithms [KUW85, MVV87]. Over the last five years, the theoretical computer science community has launched a relentless attack on this question, leading to the discovery of several powerful ideas. We give what appears to be the culmination of this line of work: An NC algorithm for finding a minimum-weight perfect matching in a general graph with polynomially bounded edge weights, provided it is given an oracle for the decision problem. Consequently, for settling the main open problem, it suffices to obtain an NC algorithm for the decision problem. We believe this new fact has qualitatively changed the nature of this open problem. #R##N#All known efficient matching algorithms for general graphs follow one of two approaches: given by [Edmonds65] and [Lovasz79]. Our oracle-based algorithm follows a new approach and uses many of ideas discovered in the last five years. #R##N#The difficulty of obtaining an NC perfect matching algorithm led researchers to study matching vis-a-vis clever relaxations of the class NC. In this vein, recently [GG15] gave a pseudo-deterministic RNC algorithm for finding a perfect matching in a bipartite graph, i.e., an RNC algorithm with the additional requirement that on the same graph, it should return the same (i.e., unique) perfect matching for almost all choices of random bits. A corollary of our reduction is an analogous algorithm for general graphs.

Includes members:
  Member "nc algorithms for perfect matching and maximum flow in one crossing minor free graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "finding maximal sets of laminar 3 separators in planar graphs in linear time")
  Member "the matching problem in general graphs is in quasi nc":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "equivalence classes and conditional hardness in massively parallel computations")
  Member "isolating a vertex via lattices polytopes with totally unimodular faces":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "nc algorithms for perfect matching and maximum flow in one crossing minor free graphs")
  Member "planar graph perfect matching is in nc":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "new algorithms and lower bounds for all pairs max flow in undirected graphs")
  Member "nc algorithms for weighted planar perfect matching and related problems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "min cost flow in unit capacity planar graphs")
  Member "bipartite perfect matching is in quasi nc":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "from independent sets and vertex colorings to isotropic spaces and isotropic decompositions")
  Member "navigating central path with electrical flows from flows to matchings and back":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "faster divergence maximization for faster maximum flow")
  Member "algorithmic applications of baur strassen s theorem shortest cycles diameter and matchings":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "dynamic approximate shortest paths and beyond subquadratic and worst case update time")

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)