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: "algorithmic applications of baur strassen s theorem shortest cycles diameter and matchings"
  Abstract: Consider a directed or an undirected graph with integral edge weights from the set [-W, W], that does not contain negative weight cycles. In this paper, we introduce a general framework for solving problems on such graphs using matrix multiplication. The framework is based on the usage of Baur-Strassen's theorem and of Strojohann's determinant algorithm. It allows us to give new and simple solutions to the following problems: #R##N#* Finding Shortest Cycles -- We give a simple \tilde{O}(Wn^{\omega}) time algorithm for finding shortest cycles in undirected and directed graphs. For directed graphs (and undirected graphs with non-negative weights) this matches the time bounds obtained in 2011 by Roditty and Vassilevska-Williams. On the other hand, no algorithm working in \tilde{O}(Wn^{\omega}) time was previously known for undirected graphs with negative weights. Furthermore our algorithm for a given directed or undirected graph detects whether it contains a negative weight cycle within the same running time. #R##N#* Computing Diameter and Radius -- We give a simple \tilde{O}(Wn^{\omega}) time algorithm for computing a diameter and radius of an undirected or directed graphs. To the best of our knowledge no algorithm with this running time was known for undirected graphs with negative weights. #R##N#* Finding Minimum Weight Perfect Matchings -- We present an \tilde{O}(Wn^{\omega}) time algorithm for finding minimum weight perfect matchings in undirected graphs. This resolves an open problem posted by Sankowski in 2006, who presented such an algorithm but only in the case of bipartite graphs. #R##N#In order to solve minimum weight perfect matching problem we develop a novel combinatorial interpretation of the dual solution which sheds new light on this problem. Such a combinatorial interpretation was not know previously, and is of independent interest.

Connected through hyperedge HE-1 (induced by source paper "dynamic approximate shortest paths and beyond subquadratic and worst case update time"):
  with members:
    - "fully dynamic all pairs shortest paths improved worst case time and space bounds"
    - "dynamic matrix inverse improved algorithms and matching conditional lower bounds"
    - "sensitive distance and reachability oracles for large batch updates"
    - "towards tight approximation bounds for graph diameter and eccentricities"
    - "algorithms and hardness for diameter in dynamic graphs"
    - "diameter spanner eccentricity spanner and approximating extremal graph distances static dynamic and fault tolerant"
    - "a deamortization approach for dynamic spanner and dynamic maximal matching"
    - "deterministic partially dynamic single source shortest paths in weighted graphs"

Connected through hyperedge HE-2 (induced by source paper "distributed weighted matching via randomized composable coresets"):
  with members:
    - "online matching with general arrivals"
    - "weighted matchings via unweighted augmentations"
    - "submodular optimization in the mapreduce model"
    - "greedy and local ratio algorithms in the mapreduce model"
    - "coresets meet edcs algorithms for matching and vertex cover on massive graphs"
    - "round compression for parallel matching algorithms"
    - "on estimating maximum matching size in graph streams"
    - "almost optimal stochastic weighted matching with few queries"

Connected through hyperedge HE-3 (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"
    - "isolating a vertex via lattices polytopes with totally unimodular faces"
    - "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"
    - "deterministically isolating a perfect matching in bipartite planar graphs"

Connected through hyperedge HE-4 (induced by source paper "towards tight approximation bounds for graph diameter and eccentricities"):
  with members:
    - "additive spanners and distance oracles in quadratic time"
    - "tight hardness for shortest cycles and paths in sparse graphs"
    - "improved rectangular matrix multiplication using powers of the coppersmith winograd tensor"
    - "the 4 3 additive spanner exponent is tight"
    - "powers of tensors and fast matrix multiplication"
    - "faster all pairs shortest paths via circuit complexity"
    - "faster algorithms for rectangular matrix multiplication"
    - "all pairs shortest paths using bridging sets and rectangular matrix multiplication"

Connected through hyperedge HE-5 (induced by source paper "minimum cuts and shortest cycles in directed planar graphs via noncrossing shortest paths"):
  with members:
    - "minimum cut of directed planar graphs in o nloglogn time"
    - "submatrix maximum queries in monge matrices are equivalent to predecessor search"
    - "computing the girth of a planar graph in linear time"
    - "structured recursive separator decompositions for planar graphs in linear time"
    - "shortest non trivial cycles in directed and undirected surface graphs"
    - "shortest paths in planar graphs with real lengths in o n log 2n log log n time"
    - "optimally cutting a surface into a disk"
    - "minimum cuts in near linear time"

Connected through hyperedge HE-6 (induced by source paper "tight hardness for shortest cycles and paths in sparse graphs"):
  with members:
    - "tree edit distance cannot be computed in strongly subcubic time unless apsp can"
    - "finding even cycles faster via capped k walks"
    - "fine grained complexity and conditional hardness for sparse graphs"
    - "polynomial representations of threshold functions and algorithmic applications"
    - "the input output complexity of triangle enumeration"
    - "powers of tensors and fast matrix multiplication"
    - "faster all pairs shortest paths via circuit complexity"
    - "all pairs shortest paths using bridging sets and rectangular matrix multiplication"

Connected through hyperedge HE-7 (induced by source paper "improved distance queries and cycle counting by frobenius normal form"):
  with members:
    - "fine grained complexity and conditional hardness for sparse graphs"
    - "powers of tensors and fast matrix multiplication"
    - "faster all pairs shortest paths via circuit complexity"
    - "minimum weight cycles and triangles equivalences and algorithms"
    - "all pairs shortest paths using bridging sets and rectangular matrix multiplication"

Connected through hyperedge HE-8 (induced by source paper "on the hardness of partially dynamic graph problems and connections to diameter"):
  with members:
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "simulating branching programs with edit distance and friends or a polylog shaved is a lower bound made"
    - "if the current clique algorithms are optimal so is valiant s parser"
    - "quadratic conditional lower bounds for string problems and dynamic time warping"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "edit distance cannot be computed in strongly subquadratic time unless seth is false"
    - "higher lower bounds from the 3sum conjecture"
    - "an almost linear time algorithm for approximate max flow in undirected graphs and its multicommodity generalizations"

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)