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: "isolating a vertex via lattices polytopes with totally unimodular faces"
  Abstract: We present a geometric approach towards derandomizing the Isolation Lemma by Mulmuley, Vazirani, and Vazirani. In particular, our approach produces a quasi-polynomial family of weights, where each weight is an integer and quasi-polynomially bounded, that can isolate a vertex in any 0/1 polytope for which each face lies in an affine space defined by a totally unimodular matrix. This includes the polytopes given by totally unimodular constraints and generalizes the recent derandomization of the Isolation Lemma for bipartite perfect matching and matroid intersection. We prove our result by associating a lattice to each face of the polytope and showing that if there is a totally unimodular kernel matrix for this lattice, then the number of vectors of length within 3/2 of the shortest vector in it is polynomially bounded. The proof of this latter geometric fact is combinatorial and follows from a polynomial bound on the number of circuits of size within 3/2 of the shortest circuit in a regular matroid. This is the technical core of the paper and relies on a variant of Seymour's decomposition theorem for regular matroids. It generalizes an influential result by Karger on the number of minimum cuts in a graph to regular matroids.

Connected through hyperedge HE-1 (induced by source paper "matching is as easy as the decision problem in the nc model"):
  with members:
    - "nc algorithms for perfect matching and maximum flow in one crossing minor free graphs"
    - "the matching problem in general graphs is in quasi nc"
    - "planar graph perfect matching is in nc"
    - "nc algorithms for weighted planar perfect matching and related problems"
    - "bipartite perfect matching is in quasi nc"
    - "navigating central path with electrical flows from flows to matchings and back"
    - "algorithmic applications of baur strassen s theorem shortest cycles diameter and matchings"
    - "deterministically isolating a perfect matching in bipartite planar graphs"

Connected through hyperedge HE-2 (induced by source paper "nc algorithms for perfect matching and maximum flow in one crossing minor free graphs"):
  with members:
    - "finding maximal sets of laminar 3 separators in planar graphs in linear time"
    - "the matching problem in general graphs is in quasi nc"
    - "planar graph perfect matching is in nc"
    - "bipartite perfect matching is in quasi nc"
    - "all pairs minimum cuts in near linear time for surface embedded graphs"
    - "mimicking networks and succinct representations of terminal cuts"
    - "multiple source multiple sink maximum flow in directed planar graphs in near linear time"

Connected through hyperedge HE-3 (induced by source paper "on the number of circuits in regular matroids with connections to lattices and codes"):
  with members:
    - "on the weight distribution of random binary linear codes"
    - "extended formulations for independence polytopes of regular matroids"
    - "a polynomial time algorithm for estimating the partition function of the ferromagnetic ising model on a regular matroid"
    - "matroid secretary for regular and decomposable matroids"
    - "a decomposition theory for binary linear codes"

Connected through hyperedge HE-4 (induced by source paper "planar graph perfect matching is in nc"):
  with members:
    - "nc algorithms for perfect matching and maximum flow in one crossing minor free graphs"
    - "the matching problem in general graphs is in quasi nc"
    - "nc algorithms for weighted planar perfect matching and related problems"
    - "bipartite perfect matching is in quasi nc"
    - "all pairs minimum cuts in near linear time for surface embedded graphs"

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)