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: "on k convex polygons"
  Abstract: We introduce a notion of $k$-convexity and explore polygons in the plane that have this property. Polygons which are \mbox{$k$-convex} can be triangulated with fast yet simple algorithms. However, recognizing them in general is a 3SUM-hard problem. We give a characterization of \mbox{$2$-convex} polygons, a particularly interesting class, and show how to recognize them in \mbox{$O(n \log n)$} time. A description of their shape is given as well, which leads to Erd\H{o}s-Szekeres type results regarding subconfigurations of their vertex sets. Finally, we introduce the concept of generalized geometric permutations, and show that their number can be exponential in the number of \mbox{$2$-convex} objects considered.

Connected through hyperedge HE-1 (induced by source paper "3sum with preprocessing algorithms lower bounds and cryptographic applications"):
  with members:
    - "encoding 3sum"
    - "static data structure lower bounds imply rigidity"
    - "near optimal linear decision trees for k sum and related problems"
    - "conditional lower bounds for space time tradeoffs"
    - "orthogonal vectors indexing"
    - "clustered integer 3sum via additive combinatorics"
    - "threesomes degenerates and love triangles"
    - "on hardness of jumbled indexing"

Connected through hyperedge HE-2 (induced by source paper "improved bounds for 3sum k sum and linear degeneracy"):
  with members:
    - "the decision tree complexity for k sum is at most nearly quadratic"
    - "clustered integer 3sum via additive combinatorics"
    - "solving k sum using few linear queries"
    - "why walking the dog takes time frechet distance has no strongly subquadratic algorithms unless seth fails"
    - "threesomes degenerates and love triangles"
    - "3sum hardness in dynamic data structures"
    - "popular conjectures imply strong lower bounds for dynamic problems"
    - "edit distance cannot be computed in strongly subquadratic time unless seth is false"

Connected through hyperedge HE-3 (induced by source paper "threesomes degenerates and love triangles"):
  with members:
    - "near optimal linear decision trees for k sum and related problems"
    - "connectivity oracles for graphs subject to vertex failures"
    - "subquadratic algorithms for algebraic generalizations of 3sum"
    - "unifying and strengthening hardness for dynamic problems via the online matrix vector multiplication conjecture"
    - "improved bounds for 3sum k sum and linear degeneracy"
    - "clustered integer 3sum via additive combinatorics"
    - "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"

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.CG(Computational Geometry)