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: "on the power of tree depth for fully polynomial fpt algorithms"
  Abstract: There are many classical problems in P whose time complexities have not been improved over the past decades. Recent studies of "Hardness in P" have revealed that, for several of such problems, the current fastest algorithm is the best possible under some complexity assumptions. To bypass this difficulty, Fomin et al. (SODA 2017) introduced the concept of fully polynomial FPT algorithms. For a problem with the current best time complexity $O(n^c)$, the goal is to design an algorithm running in $k^{O(1)}n^{c'}$ time for a parameter $k$ and a constant $c'<c$. In this paper, we investigate the complexity of graph problems in P parameterized by tree-depth, a graph parameter related to tree-width. We show that a simple divide-and-conquer method can solve many graph problems, including Weighted Matching, Negative Cycle Detection, Minimum Weight Cycle, Replacement Paths, and 2-hop Cover, in $O(\mathrm{td}\cdot m)$ time or $O(\mathrm{td}\cdot (m+n\log n))$ time, where $\mathrm{td}$ is the tree-depth of the input graph. Because any graph of tree-width $\mathrm{tw}$ has tree-depth at most $(\mathrm{tw}+1)\log_2 n$, our algorithms also run in $O(\mathrm{tw}\cdot m\log n)$ time or $O(\mathrm{tw}\cdot (m+n\log n)\log n)$ time. These results match or improve the previous best algorithms parameterized by tree-width. Especially, we solve an open problem of fully polynomial FPT algorithm for Weighted Matching parameterized by tree-width posed by Fomin et al.

Connected through hyperedge HE-1 (induced by source paper "on adaptive algorithms for maximum matching"):
  with members:
    - "a quasi linear time b matching algorithm on distance hereditary graphs and bounded split width graphs"
    - "efficient and adaptive parameterized algorithms on modular decompositions"
    - "parameterized aspects of triangle enumeration"
    - "robust and adaptive search"
    - "simplified algorithmic metatheorems beyond mso treewidth and neighborhood diversity"
    - "a linear time algorithm for maximum cardinality matching on cocomparability graphs"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "navigating central path with electrical flows from flows to matchings and back"

Connected through hyperedge HE-2 (induced by source paper "sat encodings for treecut width and treedepth"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "the complexity landscape of decompositional parameters for ilp"
    - "solving and verifying the boolean pythagorean triples problem via cube and conquer"
    - "kernelizing mso properties of trees of fixed height and some consequences"
    - "a faster parameterized algorithm for treedepth"
    - "structural parameterizations of the mixed chinese postman problem"
    - "computing tree depth faster than 2 n"
    - "where first order and monadic second order logic coincide"

Connected through hyperedge HE-3 (induced by source paper "efficient and adaptive parameterized algorithms on modular decompositions"):
  with members:
    - "parameterized aspects of triangle enumeration"
    - "fully polynomial fpt algorithms for some classes of bounded clique width graphs"
    - "when can graph hyperbolicity be computed in linear time"
    - "the power of data reduction for matching"
    - "data structures for weighted matching and extensions to b matching and f factors"
    - "quadratic conditional lower bounds for string problems and dynamic time warping"
    - "polynomial fixed parameter algorithms a case study for longest path on interval graphs"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"

Connected through hyperedge HE-4 (induced by source paper "faster approximation algorithms for computing shortest cycles on weighted graphs"):
  with members:
    - "towards tight approximation bounds for graph diameter and eccentricities"
    - "fully polynomial fpt algorithms for some classes of bounded clique width graphs"
    - "new subquadratic approximation algorithms for the girth"
    - "tight hardness for shortest cycles and paths in sparse graphs"
    - "approximating cycles in directed graphs fast algorithms for girth and roundtrip spanners"
    - "subtree isomorphism revisited"
    - "polynomial fixed parameter algorithms a case study for longest path on interval graphs"
    - "approximate distance oracle with constant query time"

Connected through hyperedge HE-5 (induced by source paper "a quasi linear time b matching algorithm on distance hereditary graphs and bounded split width graphs"):
  with members:
    - "parameterized aspects of triangle enumeration"
    - "fully polynomial fpt algorithms for some classes of bounded clique width graphs"
    - "the weighted matching approach to maximum cardinality matching"
    - "when can graph hyperbolicity be computed in linear time"
    - "a linear time algorithm for maximum cardinality matching on cocomparability graphs"
    - "data structures for weighted matching and extensions to b matching and f factors"
    - "fully polynomial time parameterized computations for graphs and matrices of low treewidth"
    - "linear time split decomposition revisited"

Connected through hyperedge HE-6 (induced by source paper "data reduction for maximum matching on real world graphs theory and experiments"):
  with members:
    - "an adaptive version of brandes algorithm for betweenness centrality"
    - "on adaptive algorithms for maximum matching"
    - "wegotyoucovered the winning solver from the pace 2019 implementation challenge vertex cover track"
    - "efficient and adaptive parameterized algorithms on modular decompositions"
    - "fully polynomial fpt algorithms for some classes of bounded clique width graphs"
    - "fully polynomial time parameterized computations for graphs and matrices of low treewidth"
    - "polynomial fixed parameter algorithms a case study for longest path on interval graphs"
    - "scaling algorithms for weighted matching in general graphs"

Connected through hyperedge HE-7 (induced by source paper "fully polynomial fpt algorithms for some classes of bounded clique width graphs"):
  with members:
    - "the use of a pruned modular decomposition for maximum matching algorithms on some graph classes"
    - "efficient and adaptive parameterized algorithms on modular decompositions"
    - "parameterized aspects of triangle enumeration"
    - "when can graph hyperbolicity be computed in linear time"
    - "the power of data reduction for matching"
    - "tight hardness results for distance and centrality problems in constant degree graphs"
    - "fully polynomial time parameterized computations for graphs and matrices of low treewidth"
    - "polynomial fixed parameter algorithms a case study for longest path on interval graphs"

Connected through hyperedge HE-8 (induced by source paper "fully polynomial time parameterized computations for graphs and matrices of low treewidth"):
  with members:
    - "computing tree decompositions with flowcutter pace 2017 submission"
    - "computing treewidth on the gpu"
    - "positive instance driven dynamic programming for treewidth"
    - "computing maximum flow with augmenting electrical flows"
    - "approximation and fixed parameter subquadratic algorithms for radius and diameter"
    - "polynomial fixed parameter algorithms a case study for longest path on interval graphs"
    - "graph bisection with pareto optimization"
    - "approximate undirected maximum flows in o m polylog n 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.DS(Data Structures and Algorithms)