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: "popular conjectures as a barrier for dynamic planar graph algorithms"
  Abstract: The dynamic shortest paths problem on planar graphs asks us to preprocess a planar graph $G$ such that we may support insertions and deletions of edges in $G$ as well as distance queries between any two nodes $u,v$ subject to the constraint that the graph remains planar at all times. This problem has been extensively studied in both the theory and experimental communities over the past decades and gets solved millions of times every day by companies like Google, Microsoft, and Uber. The best known algorithm performs queries and updates in $\tilde{O}(n^{2/3})$ time, based on ideas of a seminal paper by Fakcharoenphol and Rao [FOCS'01]. A $(1+\varepsilon)$-approximation algorithm of Abraham et al. [STOC'12] performs updates and queries in $\tilde{O}(\sqrt{n})$ time. An algorithm with $O(polylog(n))$ runtime would be a major breakthrough. However, such runtimes are only known for a $(1+\varepsilon)$-approximation in a model where only restricted weight updates are allowed due to Abraham et al. [SODA'16], or for easier problems like connectivity. #R##N#In this paper, we follow a recent and very active line of work on showing lower bounds for polynomial time problems based on popular conjectures, obtaining the first such results for natural problems in planar graphs. Such results were previously out of reach due to the highly non-planar nature of known reductions and the impossibility of "planarizing gadgets". We introduce a new framework which is inspired by techniques from the literatures on distance labelling schemes and on parameterized complexity. #R##N#Using our framework, we show that no algorithm for dynamic shortest paths or maximum weight bipartite matching in planar graphs can support both updates and queries in amortized $O(n^{\frac{1}{2}-\varepsilon})$ time, for $\varepsilon>0$, unless the classical APSP problem can be solved in truly subcubic time, [...]

Connected through hyperedge HE-1 (induced by source paper "rounding dynamic matchings against an adaptive adversary"):
  with members:
    - "decremental sssp in weighted digraphs faster and against an adaptive adversary"
    - "deterministic algorithms for decremental approximate shortest paths faster and simpler"
    - "tight bounds for online edge coloring"
    - "distributed weighted matching via randomized composable coresets"
    - "online matching with general arrivals"
    - "dynamic low stretch trees via dynamic low diameter decompositions"
    - "a new algorithm for decremental single source shortest paths with applications to vertex capacitated flow and cut problems"
    - "towards a unified theory of sparsification for matching problems"

Connected through hyperedge HE-2 (induced by source paper "near optimal fully dynamic densest subgraph"):
  with members:
    - "distributed dense subgraph detection and low outdegree orientation"
    - "new algorithms and lower bounds for all pairs max flow in undirected graphs"
    - "inapproximability of maximum biclique problems minimum k cut and densest at least k subgraph from the small set expansion hypothesis"
    - "fully dynamic approximate maximum matching and minimum vertex cover in o log 3 n worst case update time"
    - "egalitarian graph orientations"
    - "the ubiquity of large graphs and surprising challenges of graph processing"
    - "new deterministic approximation algorithms for fully dynamic matching"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"

Connected through hyperedge HE-3 (induced by source paper "fully dynamic planarity testing in polylogarithmic time"):
  with members:
    - "dynamic planar embeddings of dynamic graphs"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "faster deterministic fully dynamic graph connectivity"
    - "dynamic generators of topologically embedded graphs"

Connected through hyperedge HE-4 (induced by source paper "on the hardness of approximate and exact bichromatic maximum inner product"):
  with members:
    - "hardness of approximate nearest neighbor search"
    - "conditional lower bounds for all pairs max flow"
    - "conditional lower bounds for space time tradeoffs"
    - "distributed pcp theorems for hardness of approximation in p"
    - "on the parameterized complexity of approximating dominating set"
    - "improved rectangular matrix multiplication using powers of the coppersmith winograd tensor"
    - "on the complexity of closest pair via polar pair of point sets"
    - "a framework for similarity search with space time tradeoffs using locality sensitive filtering"

Connected through hyperedge HE-5 (induced by source paper "fine grained complexity meets ip pspace"):
  with members:
    - "on problems equivalent to min convolution"
    - "hardness of approximate nearest neighbor search"
    - "on the hardness of approximate and exact bichromatic maximum inner product"
    - "tighter connections between formula sat and shaving logs"
    - "conditional lower bounds for all pairs max flow"
    - "conditional lower bounds for space time tradeoffs"
    - "conditional hardness for sensitivity problems"
    - "on the parameterized complexity of approximating dominating set"

Connected through hyperedge HE-6 (induced by source paper "decremental spqr trees for planar graphs"):
  with members:
    - "dynamic planar embeddings of dynamic graphs"
    - "decremental single source reachability in planar digraphs"
    - "dynamic minimum spanning forest with subpolynomial worst case update time"
    - "fully dynamic maximal matching in constant update time"
    - "fully dynamic minimum spanning forest with improved worst case update time"
    - "faster worst case deterministic dynamic connectivity"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "optimal decremental connectivity in planar graphs"

Connected through hyperedge HE-7 (induced by source paper "exact distance oracles for planar graphs with failing vertices"):
  with members:
    - "almost optimal distance oracles for planar graphs"
    - "fast and compact exact distance oracle for planar graphs"
    - "voronoi diagrams on planar graphs and computing the diameter in deterministic tilde o n 5 3 time"
    - "improved bounds for shortest paths in dense distance graphs"
    - "structured recursive separator decompositions for planar graphs in linear time"
    - "multiple source shortest paths in embedded graphs"
    - "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-8 (induced by source paper "nearly optimal separation between partially and fully retroactive data structures"):
  with members:
    - "conditional lower bounds for space time tradeoffs"
    - "conditional hardness for sensitivity problems"
    - "threesomes degenerates and love triangles"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "higher lower bounds from the 3sum conjecture"
    - "fully retroactive approximate range and nearest neighbor searching"
    - "searching in dynamic catalogs on a tree"

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)