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: "using elimination theory to construct rigid matrices"
  Abstract: The rigidity of a matrix A for target rank r is the minimum number of entries of A that must be changed to ensure that the rank of the altered matrix is at most r. Since its introduction by Valiant (1977), rigidity and similar rank-robustness functions of matrices have found numerous applications in circuit complexity, communication complexity, and learning complexity. Almost all n × n matrices over an infinite field have a rigidity of (n ? r)2. It is a long-standing open question to construct infinite families of explicit matrices even with superlinear rigidity when r = Ω(n).#R##N##R##N#In this paper, we construct an infinite family of complex matrices with the largest possible, i.e., (n ? r)2, rigidity. The entries of an n × n matrix in this family are distinct primitive roots of unity of orders roughly exp(n 2 log n). To the best of our knowledge, this is the first family of concrete (but not entirely explicit) matrices having maximal rigidity and a succinct algebraic description.#R##N##R##N#Our construction is based on elimination theory of polynomial ideals. In particular, we use results on the existence of polynomials in elimination ideals with effective degree upper bounds (effective Nullstellensatz). Using elementary algebraic geometry, we prove that the dimension of the affine variety of matrices of rigidity at most k is exactly n 2 --- (n --- r)2 + k. Finally, we use elimination theory to examine whether the rigidity function is semicontinuous.

Connected through hyperedge HE-1 (induced by source paper "probabilistic rank and matrix rigidity"):
  with members:
    - "polynomial representations of threshold functions and algorithmic applications"
    - "super linear gate and super quadratic wire lower bounds for depth two and depth three threshold circuits"
    - "probabilistic polynomials and hamming nearest neighbors"
    - "faster all pairs shortest paths via circuit complexity"
    - "three lines proof of the lower bound for the matrix rigidity"
    - "communication complexity lower bounds by polynomials"

Connected through hyperedge HE-2 (induced by source paper "unifying known lower bounds via geometric complexity theory"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "lower bounds for the circuit size of partially homogeneous polynomials"
    - "equations for lower bounds on border rank"
    - "complexity of linear circuits and geometry"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "natural proofs versus derandomization"
    - "explicit lower bounds via geometric complexity theory"
    - "new lower bounds for the rank of matrix multiplication"

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.CC(Computational Complexity)