human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "linear algebraic analogues of the graph isomorphism problem and the erd h o s r enyi model"):
  Abstract: A classical difficult isomorphism testing problem is to test isomorphism of p-groups of class 2 and exponent p in time polynomial in the group order. It is known that this problem can be reduced to solving the alternating matrix space isometry problem over a finite field in time polynomial in the underlying vector space size. We propose a venue of attack for the latter problem by viewing it as a linear algebraic analogue of the graph isomorphism problem. This viewpoint leads us to explore the possibility of transferring techniques for graph isomorphism to this long-believed bottleneck case of group isomorphism. #R##N#In 1970's, Babai, Erd\H{o}s, and Selkow presented the first average-case efficient graph isomorphism testing algorithm (SIAM J Computing, 1980). Inspired by that algorithm, we devise an average-case efficient algorithm for the alternating matrix space isometry problem over a key range of parameters, in a random model of alternating matrix spaces in vein of the Erd\H{o}s-R\'enyi model of random graphs. For this, we develop a linear algebraic analogue of the classical individualisation technique, a technique belonging to a set of combinatorial techniques that has been critical for the progress on the worst-case time complexity for graph isomorphism, but was missing in the group isomorphism context. As a consequence of the main algorithm, we establish a weaker linear algebraic analogue of Erd\H{o}s and R\'enyi's classical result that most graphs have the trivial automorphism group. We finally show that Luks' dynamic programming technique for graph isomorphism (STOC 1999) can be adapted to slightly improve the worst-case time complexity of the alternating matrix space isometry problem in a certain range of parameters.

Includes members:
  Member "algorithms based on algebras and their applications to isomorphism of polynomials with one secret group isomorphism and polynomial identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "general linear group action on tensors a candidate for post quantum cryptography")
  Member "on the group and color isomorphism problems":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "incorporating weisfeiler leman into algorithms for group isomorphism")
  Member "graph isomorphism in quasipolynomial time":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "hypergraph isomorphism for groups with restricted composition factors")
  Member "a deterministic polynomial time algorithm for non commutative rational identity testing":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "rigorous guarantees for tyler s m estimator via quantum expansion")
  Member "non commutative edmonds problem and matrix semi invariants":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "from independent sets and vertex colorings to isotropic spaces and isotropic decompositions")
  Member "bidirectional collision detection and faster deterministic isomorphism testing":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "isomorphism problems for tensors groups and cubic forms completeness and reductions")
  Member "practical graph isomorphism ii":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "hypergraph isomorphism for groups with restricted composition factors")
  Member "deterministic polynomial time algorithms for matrix completion problems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "general linear group action on tensors a candidate for post quantum cryptography")

Question: Please tell me which class the source paper 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)