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: "mimicking networks and succinct representations of terminal cuts"
  Abstract: Given a large edge-weighted network $G$ with $k$ terminal vertices, we wish to compress it and store, using little memory, the value of the minimum cut (or equivalently, maximum flow) between every bipartition of terminals. One appealing methodology to implement a compression of $G$ is to construct a \emph{mimicking network}: a small network $G'$ with the same $k$ terminals, in which the minimum cut value between every bipartition of terminals is the same as in $G$. This notion was introduced by Hagerup, Katajainen, Nishimura, and Ragde [JCSS '98], who proved that such $G'$ of size at most $2^{2^k}$ always exists. Obviously, by having access to the smaller network $G'$, certain computations involving cuts can be carried out much more efficiently. #R##N#We provide several new bounds, which together narrow the previously known gap from doubly-exponential to only singly-exponential, both for planar and for general graphs. Our first and main result is that every $k$-terminal planar network admits a mimicking network $G'$ of size $O(k^2 2^{2k})$, which is moreover a minor of $G$. On the other hand, some planar networks $G$ require $|E(G')| \ge \Omega(k^2)$. For general networks, we show that certain bipartite graphs only admit mimicking networks of size $|V(G')| \geq 2^{\Omega(k)}$, and moreover, every data structure that stores the minimum cut value between all bipartitions of the terminals must use $2^{\Omega(k)}$ machine words.

Connected through hyperedge HE-1 (induced by source paper "scattering and sparse partitions and their applications"):
  with members:
    - "lossless prioritized embeddings"
    - "labelings vs embeddings on distributed representations of distances"
    - "on strong diameter padded decompositions"
    - "a face cover perspective to ell_1 embeddings of planar graphs"
    - "flow cut gaps and face covers in planar graphs"
    - "near isometric terminal embeddings for doubling metrics"
    - "light spanners for high dimensional norms via stochastic decompositions"
    - "steiner point removal with distortion o log k"

Connected through hyperedge HE-2 (induced by source paper "on quasipolynomial multicut mimicking networks and kernelization of multiway cut problems"):
  with members:
    - "randomized contractions meet lean decompositions"
    - "lp branching algorithms based on biased graphs"
    - "vertex sparsifiers new results from old techniques"
    - "deterministic truncation of linear matroids"
    - "on vertex sparsifiers with steiner nodes"
    - "representative sets and irrelevant vertices new tools for kernelization"
    - "compression via matroids a randomized polynomial kernel for odd cycle transversal"

Connected through hyperedge HE-3 (induced by source paper "fully dynamic spectral vertex sparsifiers and applications"):
  with members:
    - "dynamic low stretch trees via dynamic low diameter decompositions"
    - "graph reduction by local variation"
    - "kirchhoff index as a measure of edge centrality in weighted networks nearly linear time algorithms"
    - "dynamic effective resistances and approximate schur complement on separable graphs"
    - "on solving linear systems in sublinear time"
    - "spectrally approximating large graphs with smaller graphs"
    - "an almost linear time algorithm for uniform random spanning tree generation"
    - "density independent algorithms for sparsifying k step random walks"

Connected through hyperedge HE-4 (induced by source paper "mimicking networks parameterized by connectivity"):
  with members:
    - "survivable network design for group connectivity in low treewidth graphs"
    - "improved guarantees for vertex sparsification in planar graphs"
    - "an exponential lower bound for cut sparsifiers in planar graphs"
    - "vertex sparsifiers new results from old techniques"

Connected through hyperedge HE-5 (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"
    - "isolating a vertex via lattices polytopes with totally unimodular faces"
    - "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"
    - "multiple source multiple sink maximum flow in directed planar graphs in near linear time"

Connected through hyperedge HE-6 (induced by source paper "refined vertex sparsifiers of planar graphs"):
  with members:
    - "relaxed voronoi a simple framework for terminal clustering problems"
    - "steiner point removal with distortion o log k"
    - "improved guarantees for vertex sparsification in planar graphs"
    - "an exponential lower bound for cut sparsifiers in planar graphs"
    - "steiner point removal distant terminals don t really bother"
    - "graph minors for preserving terminal distances approximately lower and upper bounds"
    - "vertex sparsifiers new results from old techniques"
    - "on vertex sparsifiers with steiner nodes"

Connected through hyperedge HE-7 (induced by source paper "an exponential lower bound for cut sparsifiers in planar graphs"):
  with members:
    - "improved guarantees for vertex sparsification in planar graphs"
    - "vertex sparsifiers new results from old techniques"
    - "flows in one crossing minor free graphs"
    - "on vertex sparsifiers with steiner nodes"
    - "representative sets and irrelevant vertices new tools for kernelization"
    - "metric extension operators vertex sparsifiers and lipschitz extendability"

Connected through hyperedge HE-8 (induced by source paper "dynamic sketching for graph optimization problems with applications to cut preserving sketches"):
  with members:
    - "single pass spectral sparsification in dynamic streams"
    - "on vertex sparsifiers with steiner nodes"
    - "representative sets and irrelevant vertices new tools for kernelization"
    - "compression via matroids a randomized polynomial kernel for odd cycle transversal"
    - "vertex sparsifiers and abstract rounding algorithms"

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)