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: "min st cut oracle for planar graphs with near linear preprocessing time"
  Abstract: For an undirected $n$-vertex planar graph $G$ with non-negative edge-weights, we consider the following type of query: given two vertices $s$ and $t$ in $G$, what is the weight of a min $st$-cut in $G$? We show how to answer such queries in constant time with $O(n\log^4n)$ preprocessing time and $O(n\log n)$ space. We use a Gomory-Hu tree to represent all the pairwise min cuts implicitly. Previously, no subquadratic time algorithm was known for this problem. Since all-pairs min cut and the minimum cycle basis are dual problems in planar graphs, we also obtain an implicit representation of a minimum cycle basis in $O(n\log^4n)$ time and $O(n\log n)$ space. Additionally, an explicit representation can be obtained in $O(C)$ time and space where $C$ is the size of the basis. #R##N#These results require that shortest paths are unique. This can be guaranteed either by using randomization without overhead, or deterministically with an additional $\log^2 n$ factor in the preprocessing times.

Connected through hyperedge HE-1 (induced by source paper "minimum cuts in surface graphs"):
  with members:
    - "holiest minimum cost paths and flows in surface graphs"
    - "computational topology and the unique games conjecture"
    - "finding all useless arcs in directed planar graphs"
    - "local flow partitioning for faster edge connectivity"
    - "minor free graphs have light spanners"
    - "minimum cycle and homology bases of surface embedded graphs"
    - "recognizing weakly simple polygons"
    - "fully polynomial time parameterized computations for graphs and matrices of low treewidth"

Connected through hyperedge HE-2 (induced by source paper "holiest minimum cost paths and flows in surface graphs"):
  with members:
    - "minimum cycle and homology bases of surface embedded graphs"
    - "minimum cut of directed planar graphs in o nloglogn time"
    - "faster parametric shortest path and minimum balance algorithms"
    - "all pairs minimum cuts in near linear time for surface embedded graphs"
    - "computing the girth of a planar graph in linear time"
    - "lattices and maximum flow algorithms in planar graphs"
    - "multiple source shortest paths in embedded graphs"
    - "multiple source multiple sink maximum flow in directed planar graphs in near linear time"

Connected through hyperedge HE-3 (induced by source paper "almost optimal distance oracles for planar graphs"):
  with members:
    - "holiest minimum cost paths and flows in surface graphs"
    - "exact distance oracles for planar graphs with failing vertices"
    - "constant query time 1 epsilon approximate distance oracle for planar graphs"
    - "fast and compact exact distance oracle for planar graphs"
    - "better tradeoffs for exact distance oracles in planar graphs"
    - "subquadratic algorithms for the diameter and the sum of pairwise distances in planar graphs"
    - "approximate distance oracles for planar graphs with improved query time space tradeoff"
    - "minimum cut of directed planar graphs in o nloglogn time"

Connected through hyperedge HE-4 (induced by source paper "near optimal distance emulator for planar graphs"):
  with members:
    - "near optimal compression for the planar graph metric"
    - "subquadratic algorithms for the diameter and the sum of pairwise distances in planar graphs"
    - "a hierarchy of lower bounds for sublinear additive spanners"
    - "linear size distance preservers"
    - "graph minors for preserving terminal distances approximately lower and upper bounds"
    - "a linear size logarithmic stretch path reporting distance oracle for general graphs"
    - "sublinear space distance labeling using hubs"
    - "submatrix maximum queries in monge matrices are equivalent to predecessor search"

Connected through hyperedge HE-5 (induced by source paper "decremental single source reachability in planar digraphs"):
  with members:
    - "faster algorithms for computing maximal 2 connected subgraphs in sparse directed graphs"
    - "improved bounds for shortest paths in dense distance graphs"
    - "fully dynamic maximal matching in constant update time"
    - "popular conjectures as a barrier for dynamic planar graph algorithms"
    - "finding 2 edge and 2 vertex strongly connected components in quadratic time"
    - "improved algorithms for decremental single source reachability on directed graphs"
    - "sublinear time decremental algorithms for single source reachability and shortest paths on directed graphs"
    - "popular conjectures imply strong lower bounds for dynamic problems"

Connected through hyperedge HE-6 (induced by source paper "improved bounds for shortest paths in dense distance graphs"):
  with members:
    - "submatrix maximum queries in monge matrices are equivalent to predecessor search"
    - "faster shortest paths in dense distance graphs with applications"
    - "all pairs minimum cuts in near linear time for surface embedded graphs"
    - "structured recursive separator decompositions for planar graphs in linear time"
    - "randomized speedup of the bellman ford algorithm"
    - "exact distance oracles for planar graphs"
    - "shortest paths in planar graphs with real lengths in o n log 2n log log n time"

Connected through hyperedge HE-7 (induced by source paper "minimum cycle and homology bases of surface embedded graphs"):
  with members:
    - "multiple source shortest paths in embedded graphs"
    - "shortest non trivial cycles in directed and undirected surface graphs"
    - "minimum cycle basis and all pairs min cut of a planar graph in subquadratic time"
    - "approximating loops in a shortest homology basis from point data"
    - "dynamic generators of topologically embedded graphs"

Connected through hyperedge HE-8 (induced by source paper "faster shortest paths in dense distance graphs with applications"):
  with members:
    - "improved bounds for shortest paths in dense distance graphs"
    - "minimum cut of directed planar graphs in o nloglogn time"
    - "computing the girth of a planar graph in linear time"
    - "improved submatrix maximum queries in monge matrices"
    - "maximum st flow in directed planar graphs via shortest paths"
    - "structured recursive separator decompositions for planar graphs in linear time"
    - "multiple source shortest paths in embedded graphs"
    - "multiple source multiple sink maximum flow in directed planar graphs in near linear time"

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.DM(Discrete Mathematics)