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: "geometric complexity theory and tensor rank"
  Abstract: Mulmuley and Sohoni (GCT1 in SICOMP 2001, GCT2 in SICOMP 2008) proposed to view the permanent versus determinant problem as a specific orbit closure problem and to attack it by methods from geometric invariant and representation theory. We adopt these ideas towards the goal of showing lower bounds on the border rank of specific tensors, in particular for matrix multiplication. We thus study specific orbit closure problems for the group $G = GL(W_1)\times GL(W_2)\times GL(W_3)$ acting on the tensor product $W=W_1\otimes W_2\otimes W_3$ of complex finite dimensional vector spaces. Let $G_s = SL(W_1)\times SL(W_2)\times SL(W_3)$. A key idea from GCT2 is that the irreducible $G_s$-representations occurring in the coordinate ring of the $G$-orbit closure of a stable tensor $w\in W$ are exactly those having a nonzero invariant with respect to the stabilizer group of $w$. #R##N#However, we prove that by considering $G_s$-representations, as suggested in GCT1-2, only trivial lower bounds on border rank can be shown. It is thus necessary to study $G$-representations, which leads to geometric extension problems that are beyond the scope of the subgroup restriction problems emphasized in GCT1-2. We prove a very modest lower bound on the border rank of matrix multiplication tensors using $G$-representations. This shows at least that the barrier for $G_s$-representations can be overcome. To advance, we suggest the coarser approach to replace the semigroup of representations of a tensor by its moment polytope. We prove first results towards determining the moment polytopes of matrix multiplication and unit tensors.

Connected through hyperedge HE-1 (induced by source paper "efficient algorithms for tensor scaling quantum marginals and moment polytopes"):
  with members:
    - "operator scaling via geodesically convex optimization invariant theory and polynomial identity testing"
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "a deterministic polynomial time algorithm for non commutative rational identity testing"

Connected through hyperedge HE-2 (induced by source paper "recent progress on scaling algorithms and applications"):
  with members:
    - "the paulsen problem continuous operator scaling and smoothed analysis"
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "operator scaling theory and applications"
    - "constructive noncommutative rank computation is in deterministic polynomial time"
    - "non commutative edmonds problem and matrix semi invariants"
    - "explicit lower bounds via geometric complexity theory"

Connected through hyperedge HE-3 (induced by source paper "designing strassen s algorithm"):
  with members:
    - "strassen s 2x2 matrix multiplication algorithm a conceptual perspective"
    - "the geometry of rank decompositions of matrix multiplication i 2x2 matrices"
    - "matrix multiplication algorithms from group orbits"
    - "on the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication"
    - "symmetries of matrix multiplication algorithms i"
    - "powers of tensors and fast matrix multiplication"
    - "on symmetries of the strassen algorithm"
    - "new lower bounds for the rank of matrix multiplication"

Connected through hyperedge HE-4 (induced by source paper "matrix multiplication algorithms from group orbits"):
  with members:
    - "the geometry of rank decompositions of matrix multiplication i 2x2 matrices"
    - "a 2n 2 log n 1 lower bound for the border rank of matrix multiplication"
    - "on the geometry of border rank algorithms for n x 2 by 2 x 2 matrix multiplication"
    - "symmetries of matrix multiplication algorithms i"
    - "fast matrix multiplication limitations of the laser method"
    - "powers of tensors and fast matrix multiplication"
    - "on symmetries of the strassen algorithm"
    - "equations for lower bounds on border rank"

Connected through hyperedge HE-5 (induced by source paper "an overview of mathematical issues arising in the geometric complexity theory approach to vp v s vnp"):
  with members:
    - "the complexity of factors of multivariate polynomials"
    - "geometric complexity theory vii nonstandard quantum group for the plethysm problem"
    - "geometric complexity theory vi the flip via saturated and positive integer programming in representation theory and algebraic geometry"
    - "geometric complexity theory v on deciding nonvanishing of a generalized littlewood richardson coefficient"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

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)