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: "deterministic polynomial time algorithms for matrix completion problems"
  Abstract: We present new deterministic algorithms for several cases of the maximum rank matrix completion problem (for short matrix completion), i.e. the problem of assigning values to the variables in a given symbolic matrix as to maximize the resulting matrix rank. Matrix completion belongs to the fundamental problems in computational complexity with numerous important algorithmic applications, among others, in computing dynamic transitive closures or multicast network codings (Harvey et al SODA 2005, Harvey et al SODA 2006). #R##N#We design efficient deterministic algorithms for common generalizations of the results of Lovasz and Geelen on this problem by allowing linear functions in the entries of the input matrix such that the submatrices corresponding to each variable have rank one. We present also a deterministic polynomial time algorithm for finding the minimal number of generators of a given module structure given by matrices. We establish further several hardness results related to matrix algebras and modules. As a result we connect the classical problem of polynomial identity testing with checking surjectivity (or injectivity) between two given modules. One of the elements of our algorithm is a construction of a greedy algorithm for finding a maximum rank element in the more general setting of the problem. The proof methods used in this paper could be also of independent interest.

Connected through hyperedge HE-1 (induced by source paper "general linear group action on tensors a candidate for post quantum cryptography"):
  with members:
    - "isomorphism problems for tensors groups and cubic forms completeness and reductions"
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "efficient algorithms for tensor scaling quantum marginals and moment polytopes"
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "solving the isomorphism of polynomials with two secrets problem for all pairs of quadratic forms"
    - "polynomial time algorithms for quadratic isomorphism of polynomials the regular case"

Connected through hyperedge HE-2 (induced by source paper "isomorphism problems for tensors groups and cubic forms completeness and reductions"):
  with members:
    - "general linear group action on tensors a candidate for post quantum cryptography"
    - "incorporating weisfeiler leman into algorithms for group isomorphism"
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "graph isomorphism in quasipolynomial time"
    - "bidirectional collision detection and faster deterministic isomorphism testing"
    - "algorithms for group isomorphism via group extensions and cohomology"
    - "practical graph isomorphism ii"
    - "breaking the n log n barrier for solvable group isomorphism"

Connected through hyperedge HE-3 (induced by source paper "subspace arrangements graph rigidity and derandomization through submodular optimization"):
  with members:
    - "bipartite perfect matching is in quasi nc"
    - "operator scaling theory and applications"
    - "progress on polynomial identity testing ii"

Connected through hyperedge HE-4 (induced by source paper "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"):
  with members:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "the paulsen problem continuous operator scaling and smoothed analysis"
    - "much faster algorithms for matrix scaling"
    - "matrix scaling and balancing via box constrained newton s method and interior point methods"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation in deterministic polynomial time over fields of arbitrary characteristics"

Connected through hyperedge HE-5 (induced by source paper "computing the interleaving distance is np hard"):
  with members:
    - "computational complexity of the interleaving distance"
    - "geometry helps to compare persistence diagrams"
    - "the theory of the interleaving distance on multidimensional persistence modules"

Connected through hyperedge HE-6 (induced by source paper "linear algebraic analogues of the graph isomorphism problem and the erd h o s r enyi model"):
  with members:
    - "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
    - "on the group and color isomorphism problems"
    - "graph isomorphism in quasipolynomial time"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "non commutative edmonds problem and matrix semi invariants"
    - "bidirectional collision detection and faster deterministic isomorphism testing"
    - "practical graph isomorphism ii"

Connected through hyperedge HE-7 (induced by source paper "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"):
  with members:
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "non commutative edmonds problem and matrix semi invariants"
    - "progress on polynomial identity testing ii"
    - "solving the isomorphism of polynomials with two secrets problem for all pairs of quadratic forms"
    - "algorithms for group isomorphism via group extensions and cohomology"

Connected through hyperedge HE-8 (induced by source paper "on the complexity of the permanent in various computational models"):
  with members:
    - "geometric complexity theory and matrix powering"
    - "no occurrence obstructions in geometric complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "on the expressive power of read once determinants"
    - "a lower bound for the determinantal complexity of a hypersurface"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

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)