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: "breaking the n log n barrier for solvable group isomorphism"
  Abstract: We consider the group isomorphism problem: given two finite groups G and H specified by their multiplication tables, decide if G and H are isomorphic. The n^(log n) barrier for group isomorphism has withstood all attacks --- even for the special cases of p-groups and solvable groups --- ever since the n^(log n + O(1)) generator-enumeration algorithm. In this work, we present the first significant improvement over n^(log n) by showing that group isomorphism is n^((1 / 2) log_p n + O(1)) Turing reducible to composition-series isomorphism where p is the smallest prime dividing the order of the group. Combining our reduction with an n^(O(p / log p)) algorithm for p-group composition-series isomorphism, we obtain an n^((1 / 2) log n + O(1)) algorithm for p-group isomorphism. We then generalize our techniques from p-groups using Sylow bases to derive an n^((1 / 2) log n + O(log n / log log n)) algorithm for solvable-group isomorphism. Finally, we relate group isomorphism to the collision problem which allows us replace the 1 / 2 in the exponents with 1 / 4 using randomized algorithms and 1 / 6 using quantum algorithms.

Connected through hyperedge HE-1 (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"
    - "complexity classes of equivalence problems revisited"

Connected through hyperedge HE-2 (induced by source paper "group isomorphism with fixed subnormal chains"):
  with members:
    - "bidirectional collision detection and faster deterministic isomorphism testing"
    - "beating the generator enumeration bound for p group isomorphism"

Connected through hyperedge HE-3 (induced by source paper "beating the generator enumeration bound for p group isomorphism"):
  with members:
    - "beating the generator enumeration bound for solvable group isomorphism"
    - "bidirectional collision detection and faster deterministic isomorphism testing"
    - "algorithms for group isomorphism via group extensions and cohomology"
    - "efficient isomorphism testing for a class of group extensions"

Connected through hyperedge HE-4 (induced by source paper "bidirectional collision detection and faster deterministic isomorphism testing"):
  with members:
    - "efficient isomorphism testing for a class of group extensions"

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)