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: "computing elementary symmetric polynomials with a sublinear number of multiplications"
  Abstract: Elementary symmetric polynomials $S_n^k$ are used as a benchmark for the bounded-depth arithmetic circuit model of computation. In this work we prove that $S_n^k$ modulo composite numbers $m=p_1p_2$ can be computed with much fewer multiplications than over any field, if the coefficients of monomials $x_{i_1}x_{i_2}... x_{i_k}$ are allowed to be 1 either mod $p_1$ or mod $p_2$ but not necessarily both. More exactly, we prove that for any constant $k$ such a representation of $S_n^k$ can be computed modulo $p_1p_2$ using only $\exp(O(\sqrt{\log n}\log\log n))$ multiplications on the most restricted depth-3 arithmetic circuits, for $\min({p_1,p_2})>k!$. Moreover, the number of multiplications remain sublinear while $k=O(\log\log n).$ In contrast, the well-known Graham-Pollack bound yields an $n-1$ lower bound for the number of multiplications even for the exact computation (not the representation) of $S_n^2$. Our results generalize for other non-prime power composite moduli as well. The proof uses the famous BBR-polynomial of Barrington, Beigel and Rudich.

Connected through hyperedge HE-1 (induced by source paper "hyperdense coding modulo 6 with filter machines"):
  with members:
    - "near quadratic matrix multiplication modulo composites"

Connected through hyperedge HE-2 (induced by source paper "near quadratic matrix multiplication modulo composites"):
  with members:
    - "lower bounds for matrix product"

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)