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: "eliminating depth cycles among triangles in three dimensions"
  Abstract: Given $n$ pairwise openly disjoint triangles in 3-space, their vertical depth relation may contain cycles. We show that, for any $\varepsilon>0$, the triangles can be cut into $O(n^{3/2+\varepsilon})$ connected semi-algebraic pieces, whose description complexity depends only on the choice of $\varepsilon$, such that the depth relation among these pieces is now a proper partial order. This bound is nearly tight in the worst case. We are not aware of any previous study of this problem, in this full generality, with a subquadratic bound on the number of pieces. #R##N#This work extends the recent study by two of the authors (Aronov, Sharir~2018) on eliminating depth cycles among lines in 3-space. Our approach is again algebraic, and makes use of a recent variant of the polynomial partitioning technique, due to Guth, which leads to a recursive procedure for cutting the triangles. In contrast to the case of lines, our analysis here is considerably more involved, due to the two-dimensional nature of the objects being cut, so additional tools, from topology and algebra, need to be brought to bear. #R##N#Our result essentially settles a 35-year-old open problem in computational geometry, motivated by hidden-surface removal in computer graphics.

Connected through hyperedge HE-1 (induced by source paper "constructive polynomial partitioning for algebraic curves in mathbb r 3 with applications"):
  with members:
    - "an efficient algorithm for generalized polynomial partitioning and its applications"
    - "removing depth order cycles among triangles an efficient algorithm generating triangular fragments"
    - "almost tight bounds for eliminating depth cycles in three dimensions"
    - "on range searching with semialgebraic sets ii"

Connected through hyperedge HE-2 (induced by source paper "an efficient algorithm for generalized polynomial partitioning and its applications"):
  with members:
    - "decomposing arrangements of hyperplanes vc dimension combinatorial dimension and point location"
    - "on range searching with semialgebraic sets ii"

Connected through hyperedge HE-3 (induced by source paper "removing depth order cycles among triangles an efficient algorithm generating triangular fragments"):
  with members:
    - "almost tight bounds for eliminating depth cycles in three dimensions"

Connected through hyperedge HE-4 (induced by source paper "almost tight bounds for eliminating depth cycles in three dimensions"):
  with members:
    - "removing depth order cycles among triangles an efficient algorithm generating triangular fragments"
    - "on range searching with semialgebraic sets ii"
    - "on lines and joints"

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)