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 "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 $c\leq 5$.

Includes members:
  Member "on the hardness of the noncommutative determinant":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials")
  Member "homogeneous formulas and symmetric polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "new exponential size lower bounds against depth four circuits of bounded individual degree")
  Member "arithmetic circuits and the hadamard product of polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials")
  Member "balanced families of perfect hash functions and their applications":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a graphblas approach for subgraph counting")

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)