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: "algebraic independence and blackbox identity testing"
  Abstract: Algebraic independence is an advanced notion in commutative algebra that generalizes independence of linear polynomials to higher degree. Polynomials {f_1, ..., f_m} \subset \F[x_1, ..., x_n] are called algebraically independent if there is no non-zero polynomial F such that F(f_1, ..., f_m) = 0. The transcendence degree, trdeg{f_1, ..., f_m}, is the maximal number r of algebraically independent polynomials in the set. In this paper we design blackbox and efficient linear maps \phi that reduce the number of variables from n to r but maintain trdeg{\phi(f_i)}_i = r, assuming f_i's sparse and small r. We apply these fundamental maps to solve several cases of blackbox identity testing: #R##N#(1) Given a polynomial-degree circuit C and sparse polynomials f_1, ..., f_m with trdeg r, we can test blackbox D := C(f_1, ..., f_m) for zeroness in poly(size(D))^r time. #R##N#(2) Define a spsp_\delta(k,s,n) circuit C to be of the form \sum_{i=1}^k \prod_{j=1}^s f_{i,j}, where f_{i,j} are sparse n-variate polynomials of degree at most \delta. For k = 2 we give a poly(sn\delta)^{\delta^2} time blackbox identity test. #R##N#(3) For a general depth-4 circuit we define a notion of rank. Assuming there is a rank bound R for minimal simple spsp_\delta(k,s,n) identities, we give a poly(snR\delta)^{Rk\delta^2} time blackbox identity test for spsp_\delta(k,s,n) circuits. This partially generalizes the state of the art of depth-3 to depth-4 circuits. #R##N#The notion of trdeg works best with large or zero characteristic, but we also give versions of our results for arbitrary fields.

Connected through hyperedge HE-1 (induced by source paper "a generalized sylvester gallai type theorem for quadratic polynomials"):
  with members:
    - "the matching problem in general graphs is in quasi nc"
    - "reconstruction of real depth 3 circuits with top fan in 2"
    - "progress on polynomial identity testing ii"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "geometric complexity theory v efficient algorithms for noether normalization"
    - "blackbox identity testing for bounded top fanin depth 3 circuits the field doesn t matter"

Connected through hyperedge HE-2 (induced by source paper "polynomial invariant theory and shape enumerator of self dual codes in the nrt metric"):
  with members:
    - "a standard form for generator matrices with respect to the niederreiter rosenbloom tsfasman metric"
    - "bounds on ordered codes and orthogonal arrays"

Connected through hyperedge HE-3 (induced by source paper "constructing faithful homomorphisms over fields of finite characteristic"):
  with members:
    - "algebraic dependencies and pspace algorithms in approximative complexity"
    - "arithmetic circuits with locally low algebraic rank"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"

Connected through hyperedge HE-4 (induced by source paper "succinct hitting sets and barriers to proving algebraic circuits lower bounds"):
  with members:
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "proof complexity lower bounds from algebraic circuit complexity"
    - "bipartite perfect matching is in quasi nc"
    - "boundaries of vp and vnp"
    - "unifying known lower bounds via geometric complexity theory"
    - "progress on polynomial identity testing ii"
    - "subexponential size hitting sets for bounded depth multilinear formulas"

Connected through hyperedge HE-5 (induced by source paper "arithmetic circuits with locally low algebraic rank"):
  with members:
    - "an exponential lower bound for homogeneous depth 5 circuits over finite fields"
    - "sums of products of polynomials in few variables lower bounds and polynomial identity testing"
    - "subexponential size hitting sets for bounded depth multilinear formulas"
    - "on the power of homogeneous depth 4 arithmetic circuits"
    - "the limits of depth reduction for arithmetic formulas it s all about the top fan in"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"

Connected through hyperedge HE-6 (induced by source paper "small hitting sets for tiny arithmetic circuits or how to turn bad designs into good"):
  with members:
    - "on the complexity of partial derivatives"
    - "bipartite perfect matching is in quasi nc"
    - "the chasm at depth four and tensor rank old results new insights"
    - "identity testing for constant width and commutative read once oblivious abps"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"
    - "progress on polynomial identity testing ii"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"

Connected through hyperedge HE-7 (induced by source paper "progress on polynomial identity testing ii"):
  with members:
    - "pseudorandomness for multilinear read once algebraic branching programs in any order"
    - "hitting sets for low distance multilinear depth 3"
    - "improved bounds for reduction to depth 4 and depth 3"
    - "explicit noether normalization for simultaneous conjugation via polynomial identity testing"
    - "quasipolynomial time identity testing of non commutative and read once oblivious algebraic branching programs"
    - "algebraic independence in positive characteristic a p adic calculus"
    - "on identity testing of tensors low rank recovery and compressed sensing"
    - "geometric complexity theory v equivalence between blackbox derandomization of polynomial identity testing and derandomization of noether s normalization lemma"

Connected through hyperedge HE-8 (induced by source paper "algebraic independence in positive characteristic a p adic calculus"):
  with members:
    - "progress on polynomial identity testing ii"
    - "monomials in arithmetic circuits complete problems in the counting hierarchy"
    - "jacobian hits circuits hitting sets lower bounds for depth d occur k formulas depth 3 transcendence degree k circuits"

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)