human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "removing depth order cycles among triangles an efficient algorithm generating triangular fragments"):
  Abstract: More than 25 years ago Chazelle~\emph{et al.} (FOCS 1991) studied the following question: Is it possible to cut any set of $n$ lines in ${\Bbb R}^3$ into a subquadratic number of fragments such that the resulting fragments admit a depth order? They proved an $O(n^{9/4})$ bound for the very special case of bipartite weavings of lines. Since then only little progress was made, until a recent breakthrough by Aronov and Sharir (STOC 2016) who showed that $O(n^{3/2}\mathrm{polylog}\; n)$ fragments suffice for any set of lines. In a follow-up paper Aronov, Miller and Sharir (SODA 2017) proved an $O(n^{3/2+\varepsilon})$ bound for triangles, but their method results in pieces with curved boundaries. Moreover, their method uses polynomial partitions, for which currently no algorithm is known. Thus the most natural version of the problem is still wide open: Can we cut any collection of $n$ disjoint triangles in ${\Bbb R}^3$ into a subquadratic number of triangular fragments that admit a depth order? And if so, can we compute the cuts efficiently? #R##N#We answer this question by presenting an algorithm that cuts any set of $n$ disjoint triangles in ${\Bbb R}^3$ into $O(n^{7/4}\mathrm{polylog}\; n)$ triangular fragments that admit a depth order. The running time of our algorithm is $O(n^{3.69})$. We also prove a refined bound that depends on the number, $K$, of intersections between the projections of the triangle edges onto the $xy$-plane: we show that $O(n^{1+\varepsilon} + n^{1/4} K^{3/4}\mathrm{polylog}\; n)$ fragments suffice to obtain a depth order. This result extends to $xy$-monotone surface patches bounded by a constant number of bounded-degree algebraic arcs, constituting the first subquadratic bound for surface patches. As a byproduct of our approach we obtain a faster algorithm to cut a set of lines into $O(n^{3/2}\mathrm{polylog}\; n)$ fragments that admit a depth order.

Includes members:
  Member "eliminating depth cycles among triangles in three dimensions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "constructive polynomial partitioning for algebraic curves in mathbb r 3 with applications")
  Member "almost tight bounds for eliminating depth cycles in three dimensions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "constructive polynomial partitioning for algebraic curves in mathbb r 3 with applications")

Question: Please tell me which class the source paper 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)