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 "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.

Includes members:
  Member "fast exact algorithms using hadamard product of polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on explicit branching programs for the rectangular determinant and permanent polynomials")
  Member "extensor coding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "generalized metric repair on graphs")
  Member "barriers for rank methods in arithmetic complexity":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "variety membership testing algebraic natural proofs and geometric complexity theory")
  Member "designing deterministic polynomial space algorithms by color coding multivariate polynomials":
    also connected through other hyperedges:
      (none)
  Member "the border support rank of two by two matrix multiplication is seven":
    also connected through other hyperedges:
      (none)
  Member "no occurrence obstructions in geometric complexity theory":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the computational complexity of plethysm coefficients")
  Member "nash social welfare matrix permanent and stable polynomials":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "efx exists for three agents")
  Member "graph isomorphism in quasipolynomial time":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "hypergraph isomorphism for groups with restricted composition factors")

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)