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: "fast exact algorithms using hadamard product of polynomials"
  Abstract: In this paper we develop an efficient procedure for computing a (scaled) Hadamard product for \emph{commutative} polynomials. This serves as a tool to obtain faster algorithms for several problems. Our main algorithmic results include the following: 1) Given an arithmetic circuit $C$ of $\text{poly}(n)$ size computing a polynomial $f\in\mathbb{F}[X]$ and a parameter $k$, we give a deterministic algorithm of run time $O^*(n^{k/2+c\log k})$ for some constant $c$ to compute the sum of the coefficients of multilinear monomials of degree $k$ in $f$, that answers an open question mentioned by Koutis and Williams in~\cite{KW16}. 2) Given an arithmetic circuit $C$ of size $s$ computing a polynomial $f\in\mathbb{F}[X]$ (where $\mathbb{F}$ could be any field where the field arithmetic is efficient), and a parameter $k$, we give a randomized algorithm of run time $4.32^k\cdot\text{poly}(n,s)$ to check if $f$ contains a multilinear monomial of degree $k$ or not. Our algorithm uses $\text{poly}(n,k,s)$ space. The recent algorithm of Brand et al. \cite{BDH18} solves this problem over fields of characteristic zero using exterior algebra. 3) If the given circuit $C$ is a depth-three homogeneous circuit computing $f \in \mathbb{Q}[X]$ of degree $k$, we give a \emph{deterministic} parameterized algorithm of run time $4^k \cdot \text{poly}(n,s)$ to detect degree $k$ multilinear terms, and an algorithm of run time $2^k \cdot \text{poly}(n,s)$ to compute the sum of their coefficients in $f$. For finite fields also we can detect degree $k$ multilinear terms in $f$ in deterministic $e^k k^{O(\log k)}(2^{ck} + 2^k)\cdot\text{poly}(n,s)$ time for $c\leq 5$.

Connected through hyperedge HE-1 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials"):
  with members:
    - "almost settling the hardness of noncommutative determinant"
    - "counting paths and packings in halves"
    - "on the hardness of the noncommutative determinant"
    - "arithmetic circuits and the hadamard product of polynomials"

Connected through hyperedge HE-2 (induced by source paper "waring rank parameterized and exact algorithms"):
  with members:
    - "extensor coding"
    - "barriers for rank methods in arithmetic complexity"
    - "designing deterministic polynomial space algorithms by color coding multivariate polynomials"
    - "the border support rank of two by two matrix multiplication is seven"
    - "no occurrence obstructions in geometric complexity theory"
    - "nash social welfare matrix permanent and stable polynomials"
    - "graph isomorphism in quasipolynomial time"
    - "finding and counting vertex colored subtrees"

Connected through hyperedge HE-3 (induced by source paper "univariate ideal membership parameterized by rank degree and number of generators"):
  with members:
    - "waring rank parameterized and exact algorithms"
    - "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)