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: "if the current clique algorithms are optimal so is valiant s parser"
  Abstract: The CFG recognition problem is: given a context-free grammar $\mathcal{G}$ and a string $w$ of length $n$, decide if $w$ can be obtained from $\mathcal{G}$. This is the most basic parsing question and is a core computer science problem. Valiant's parser from 1975 solves the problem in $O(n^{\omega})$ time, where $\omega<2.373$ is the matrix multiplication exponent. Dozens of parsing algorithms have been proposed over the years, yet Valiant's upper bound remains unbeaten. The best combinatorial algorithms have mildly subcubic $O(n^3/\log^3{n})$ complexity. #R##N#Lee (JACM'01) provided evidence that fast matrix multiplication is needed for CFG parsing, and that very efficient and practical algorithms might be hard or even impossible to obtain. Lee showed that any algorithm for a more general parsing problem with running time $O(|\mathcal{G}|\cdot n^{3-\varepsilon})$ can be converted into a surprising subcubic algorithm for Boolean Matrix Multiplication. Unfortunately, Lee's hardness result required that the grammar size be $|\mathcal{G}|=\Omega(n^6)$. Nothing was known for the more relevant case of constant size grammars. #R##N#In this work, we prove that any improvement on Valiant's algorithm, even for constant size grammars, either in terms of runtime or by avoiding the inefficiencies of fast matrix multiplication, would imply a breakthrough algorithm for the $k$-Clique problem: given a graph on $n$ nodes, decide if there are $k$ that form a clique. #R##N#Besides classifying the complexity of a fundamental problem, our reduction has led us to similar lower bounds for more modern and well-studied cubic time problems for which faster algorithms are highly desirable in practice: RNA Folding, a central problem in computational biology, and Dyck Language Edit Distance, answering an open question of Saha (FOCS'14).

Connected through hyperedge HE-1 (induced by source paper "new algorithms and hardness for incremental single source shortest paths in directed graphs"):
  with members:
    - "decremental sssp in weighted digraphs faster and against an adaptive adversary"
    - "fully dynamic all pairs shortest paths improved worst case time and space bounds"
    - "deterministic algorithms for decremental approximate shortest paths faster and simpler"
    - "decremental strongly connected components and single source reachability in near linear time"
    - "graph pattern detection hardness for all induced patterns and faster non induced cycles"
    - "limits on all known and some unknown approaches to matrix multiplication"
    - "diameter spanners eccentricity spanners and approximating extremal distances"
    - "limits on the universal method for matrix multiplication"

Connected through hyperedge HE-2 (induced by source paper "the number of minimum k cuts improving the karger stein bound"):
  with members:
    - "lp relaxation and tree packing for minimum k cuts"
    - "fast and deterministic approximations for k cut"
    - "faster exact and approximate algorithms for k cut"
    - "an fpt algorithm beating 2 approximation for k cut"
    - "powers of tensors and fast matrix multiplication"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "minimum k way cut of bounded size is fixed parameter tractable"
    - "tight approximation ratio of a general greedy splitting algorithm for the minimum k way cut problem"

Connected through hyperedge HE-3 (induced by source paper "graph pattern detection hardness for all induced patterns and faster non induced cycles"):
  with members:
    - "graph pattern polynomials"
    - "homomorphisms are a good basis for counting small subgraphs"
    - "tight hardness for shortest cycles and paths in sparse graphs"
    - "improved rectangular matrix multiplication using powers of the coppersmith winograd tensor"
    - "clique based lower bounds for parsing tree adjoining grammars"
    - "finding even cycles faster via capped k walks"
    - "powers of tensors and fast matrix multiplication"
    - "faster algorithms for rectangular matrix multiplication"

Connected through hyperedge HE-4 (induced by source paper "faster minimum k cut of a simple graph"):
  with members:
    - "the number of minimum k cuts improving the karger stein bound"
    - "lp relaxation and tree packing for minimum k cuts"
    - "faster exact and approximate algorithms for k cut"
    - "local flow partitioning for faster edge connectivity"
    - "powers of tensors and fast matrix multiplication"
    - "deterministic edge connectivity in near linear time"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "tight approximation ratio of a general greedy splitting algorithm for the minimum k way cut problem"

Connected through hyperedge HE-5 (induced by source paper "subcubic equivalences between graph centrality measures and complementary problems"):
  with members:
    - "tight hardness for shortest cycles and paths in sparse graphs"
    - "tree edit distance cannot be computed in strongly subcubic time unless apsp can"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "edit distance cannot be computed in strongly subquadratic time unless seth is false"
    - "faster all pairs shortest paths via circuit complexity"
    - "all pairs shortest paths using bridging sets and rectangular matrix multiplication"

Connected through hyperedge HE-6 (induced by source paper "fooling views a new lower bound technique for distributed computations under congestion"):
  with members:
    - "symmetry breaking in the congest model time and message efficient algorithms for ruling sets"
    - "a simple deterministic distributed mst algorithm with near optimal time and message complexities"
    - "quadratic and near quadratic lower bounds for the congest model"
    - "tight bounds for distributed graph computations"
    - "distributed testing of excluded subgraphs"
    - "a time and message optimal distributed algorithm for minimum spanning trees"
    - "fast distributed algorithms for testing graph properties"
    - "distributed construction of purely additive spanners"

Connected through hyperedge HE-7 (induced by source paper "fine grained complexity of analyzing compressed data quantifying improvements over decompress and solve"):
  with members:
    - "truly sub cubic algorithms for language edit distance and rna folding via fast bounded difference min plus product"
    - "why is it hard to beat o n 2 for longest common weakly increasing subsequence"
    - "a dichotomy for regular expression membership testing"
    - "conditional lower bound for rna folding problem"
    - "the k mismatch problem revisited"
    - "clustered integer 3sum via additive combinatorics"
    - "which regular expression patterns are hard to match"
    - "simulating branching programs with edit distance and friends or a polylog shaved is a lower bound made"

Connected through hyperedge HE-8 (induced by source paper "conditional lower bounds for space time tradeoffs"):
  with members:
    - "how hard is it to find honest witnesses"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "clustered integer 3sum via additive combinatorics"
    - "subtree isomorphism revisited"
    - "quadratic conditional lower bounds for string problems and dynamic time warping"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "dynamic set intersection"
    - "popular conjectures imply strong lower bounds for dynamic problems"

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)