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: "small depth multilinear formula lower bounds for iterated matrix multiplication with applications"
  Abstract: In this paper, we study the algebraic formula complexity of multiplying $d$ many $2\times 2$ matrices, denoted $\mathrm{IMM}_{d}$, and show that the well-known divide-and-conquer algorithm cannot be significantly improved at any depth, as long as the formulas are multilinear. #R##N#Formally, for each depth $\Delta \leq \log d$, we show that any product-depth $\Delta$ multilinear formula for $\mathrm{IMM}_d$ must have size $\exp(\Omega(\Delta d^{1/\Delta})).$ It also follows from this that any multilinear circuit of product-depth $\Delta$ for the same polynomial of the above form must have a size of $\exp(\Omega(d^{1/\Delta})).$ In particular, any polynomial-sized multilinear formula for $\mathrm{IMM}_d$ must have depth $\Omega(\log d)$, and any polynomial-sized multilinear circuit for $\mathrm{IMM}_d$ must have depth $\Omega(\log d/\log \log d).$ Both these bounds are tight up to constant factors. #R##N#1. Depth-reduction: A well-known result of Brent (JACM 1974) implies that any formula of size $s$ can be converted to one of size $s^{O(1)}$ and depth $O(\log s)$; further, this reduction continues to hold for multilinear formulas. Our lower bound implies that any depth-reduction in the multilinear setting cannot reduce the depth to $o(\log s)$ without a superpolynomial blow-up in size. #R##N#2. Separations from general formulas: Our result, along with a non-trivial upper bound for $\mathrm{IMM}_{d}$ implied by a result of Gupta, Kamath, Kayal and Saptharishi (SICOMP 2016), shows that for any size $s$ and product-depth $\Delta = o(\log s),$ general formulas of size $s$ and product-depth $\Delta$ cannot be converted to multilinear formulas of size $s^{\omega(1)}$ and product-depth $\Delta,$ when the underlying field has characteristic zero.

Connected through hyperedge HE-1 (induced by source paper "new exponential size lower bounds against depth four circuits of bounded individual degree"):
  with members:
    - "on the power of homogeneous depth 4 arithmetic circuits"
    - "depth 4 lower bounds determinantal complexity a unified approach"
    - "homogeneous formulas and symmetric polynomials"

Connected through hyperedge HE-2 (induced by source paper "lower bounds for multilinear bounded order abps"):
  with members:
    - "some lower bound results for set multilinear arithmetic computations"
    - "improved bounds for reduction to depth 4 and depth 3"

Connected through hyperedge HE-3 (induced by source paper "a near optimal depth hierarchy theorem for small depth multilinear circuits"):
  with members:
    - "near optimal small depth lower bounds for small distance connectivity"
    - "an average case depth hierarchy theorem for boolean circuits"
    - "on the power of homogeneous depth 4 arithmetic circuits"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "arithmetic circuits the chasm at depth four gets wider"

Connected through hyperedge HE-4 (induced by source paper "lower bounds for special cases of syntactic multilinear abps"):
  with members:
    - "an almost quadratic lower bound for syntactically multilinear arithmetic circuits"
    - "some lower bound results for set multilinear arithmetic computations"
    - "identity testing and lower bounds for read k oblivious algebraic branching programs"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"

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)