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: "explicit lower bounds via geometric complexity theory"
  Abstract: We prove the lower bound R(M_m) \geq 3/2 m^2 - 2 on the border rank of m x m matrix multiplication by exhibiting explicit representation theoretic (occurence) obstructions in the sense of the geometric complexity theory (GCT) program. While this bound is weaker than the one recently obtained by Landsberg and Ottaviani, these are the first significant lower bounds obtained within the GCT program. Behind the proof is the new combinatorial concept of obstruction designs, which encode highest weight vectors in Sym^d\otimes^3(C^n)^* and provide new insights into Kronecker coefficients.

Connected through hyperedge HE-1 (induced by source paper "the computational complexity of plethysm coefficients"):
  with members:
    - "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"
    - "implementing geometric complexity theory on the separation of orbit closures via symmetries"
    - "on vanishing of kronecker coefficients"
    - "geometric complexity theory and matrix powering"
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "permanent versus determinant obstructions and kronecker coefficients"

Connected through hyperedge HE-2 (induced by source paper "implementing geometric complexity theory on the separation of orbit closures via symmetries"):
  with members:
    - "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"
    - "the complexity of factors of multivariate polynomials"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "membership in moment polytopes is in np and conp"
    - "on vanishing of kronecker coefficients"
    - "geometric complexity theory and matrix powering"
    - "no occurrence obstructions in geometric complexity theory"

Connected through hyperedge HE-3 (induced by source paper "variety membership testing algebraic natural proofs and geometric complexity theory"):
  with members:
    - "alternating minimization scaling algorithms and the null cone problem from invariant theory"
    - "barriers for rank methods in arithmetic complexity"
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "discovering the roots uniform closure results for algebraic classes under factoring"
    - "towards an algebraic natural proofs barrier via polynomial identity testing"
    - "on the complexity of the permanent in various computational models"
    - "the complexity of tensor rank"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"

Connected through hyperedge HE-4 (induced by source paper "on geometric complexity theory multiplicity obstructions are stronger than occurrence obstructions"):
  with members:
    - "no occurrence obstructions in geometric complexity theory"
    - "permanent versus determinant not via saturations"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

Connected through hyperedge HE-5 (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-6 (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"
    - "geometric complexity theory and tensor rank"

Connected through hyperedge HE-7 (induced by source paper "alternating minimization scaling algorithms and the null cone problem from invariant theory"):
  with members:
    - "algorithmic and optimization aspects of brascamp lieb inequalities via operator scaling"
    - "operator scaling theory and applications"
    - "non commutative edmonds problem and matrix semi invariants"
    - "understanding alternating minimization for matrix completion"
    - "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 "towards an algebraic natural proofs barrier via polynomial identity testing"):
  with members:
    - "succinct hitting sets and barriers to proving algebraic circuits lower bounds"
    - "arithmetic circuits with locally low algebraic rank"
    - "geometric complexity theory and matrix powering"
    - "functional lower bounds for arithmetic circuits and connections to boolean circuit complexity"
    - "no occurrence obstructions in geometric complexity theory"
    - "the chasm at depth four and tensor rank old results new insights"
    - "on minimal free resolutions and the method of shifted partial derivatives in complexity theory"
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"

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)