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: "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing"
  Abstract: We consider two basic algorithmic problems concerning tuples of (skew-)symmetric matrices. The first problem asks to decide, given two tuples of (skew-)symmetric matrices $(B_1, \dots, B_m)$ and $(C_1, \dots, C_m)$, whether there exists an invertible matrix $A$ such that for every $i\in\{1, \dots, m\}$, $A^tB_iA=C_i$. We show that this problem can be solved in randomized polynomial time over finite fields of odd size, the real field, and the complex field. The second problem asks to decide, given a tuple of square matrices $(B_1, \dots, B_m)$, whether there exist invertible matrices $A$ and $D$, such that for every $i\in\{1, \dots, m\}$, $AB_iD$ is (skew-)symmetric. We show that this problem can be solved in deterministic polynomial time over fields of characteristic not $2$. For both problems we exploit the structure of the underlying $*$-algebras, and utilize results and methods from the module isomorphism problem. #R##N#Applications of our results range from multivariate cryptography, group isomorphism, to polynomial identity testing. Specifically, these results imply efficient algorithms for the following problems. (1) Test isomorphism of quadratic forms with one secret over a finite field of odd size. This problem belongs to a family of problems that serves as the security basis of certain authentication schemes proposed by Patarin (Eurocrypto 1996). (2) Test isomorphism of $p$-groups of class 2 and exponent $p$ ($p$ odd) with order $p^k$ in time polynomial in the group order, when the commutator subgroup is of order $p^{O(\sqrt{k})}$. (3) Deterministically reveal two families of singularity witnesses caused by the skew-symmetric structure, which represents a natural next step for the polynomial identity testing problem following the direction set up by the recent resolution of the non-commutative rank problem (Garg et al., FOCS 2016; Ivanyos et al., ITCS 2017).

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"
    - "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"
    - "on the lattice isomorphism problem"

Connected through hyperedge HE-2 (induced by source paper "from independent sets and vertex colorings to isotropic spaces and isotropic decompositions"):
  with members:
    - "linear algebraic analogues of the graph isomorphism problem and the erd h o s r enyi model"
    - "the matching problem in general graphs is in quasi nc"
    - "bipartite perfect matching is in quasi nc"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "graph isomorphism in quasipolynomial time"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "non commutative edmonds problem and matrix semi invariants"
    - "generalized wong sequences and their applications to edmonds problems"

Connected through hyperedge HE-3 (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"
    - "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"
    - "complexity classes of equivalence problems revisited"

Connected through hyperedge HE-4 (induced by source paper "derandomization and absolute reconstruction for sums of powers of linear forms"):
  with members:
    - "isomorphism problems for tensors groups and cubic forms completeness and reductions"
    - "orbits of monomials and factorization into products of linear forms"
    - "reconstruction algorithms for sums of affine powers"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "non commutative edmonds problem and matrix semi invariants"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "symmetric tensor decomposition"

Connected through hyperedge HE-5 (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"
    - "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"
    - "non commutative edmonds problem and matrix semi invariants"

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:
    - "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"
    - "deterministic polynomial time algorithms for matrix completion problems"

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)