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: "waring rank parameterized and exact algorithms"
  Abstract: Given nonnegative integers $n$ and $d$, where $n \gg d$, what is the minimum number $r$ such that there exist linear forms $\ell_1, \ldots, \ell_r \in \mathbb{C}[x_1, \ldots, x_n]$ so that $\ell_1^d + \cdots + \ell_r^d$ is supported exactly on the set of all degree-$d$ multilinear monomials in $x_1, \ldots, x_n$? We show that this and related questions have surprising and intimate connections to the areas of parameterized and exact algorithms, generalizing several well-known methods and providing a concrete approach to obtain faster approximate counting and deterministic decision algorithms. This gives a new application of Waring rank, a classical topic in algebraic geometry with connections to algebraic complexity theory, to computer science. #R##N#To illustrate the amenability and utility of this approach, we give a randomized $4.075^d \cdot \mathrm{poly}(n, \varepsilon^{-1})$-time algorithm for computing a $(1 + \varepsilon)$ approximation of the sum of the coefficients of the multilinear monomials in a degree-$d$ homogeneous $n$-variate polynomial with nonnegative coefficients. As an application of this we give a faster algorithm for approximately counting subgraphs of bounded treewidth, improving on earlier work of Alon et al. Along the way we give an exact answer to an open problem of Koutis and Williams and sharpen a lower bound on the size of perfectly balanced hash families given by Alon and Gutner.

Connected through hyperedge HE-1 (induced by source paper "univariate ideal membership parameterized by rank degree and number of generators"):
  with members:
    - "fast exact algorithms using hadamard product of polynomials"
    - "faster algorithms via waring decompositions"
    - "arithmetic circuits and the hadamard product of polynomials"

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)