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: "bounds on the complexity of halfspace intersections when the bounded faces have small dimension"
  Abstract: For a polyhedron $$P$$P let $$B(P)$$B(P) denote the polytopal complex that is formed by all bounded faces of $$P$$P. If $$P$$P is the intersection of $$n$$n halfspaces in $$\mathbb R ^D$$RD, but the maximum dimension $$d$$d of any face in $$B(P)$$B(P) is much smaller, we show that the combinatorial complexity of $$P$$P cannot be too high; in particular, that it is independent of $$D$$D. We show that the number of vertices of $$P$$P is $$O(n^d)$$O(nd) and the total number of bounded faces of the polyhedron is $$O(n^{d^2})$$O(nd2). For inputs in general position the number of bounded faces is $$O(n^d)$$O(nd). We show that for certain specific values of $$d$$d and $$D$$D, our bounds are tight. For any fixed $$d$$d, we show how to compute the set of all vertices, how to determine the maximum dimension of a bounded face of the polyhedron, and how to compute the set of bounded faces in polynomial time, by solving a number of linear programs that is polynomial in $$n$$n.

Connected through hyperedge HE-1 (induced by source paper "treetopes and their graphs"):
  with members:
    - "atomic embeddability clustered planarity and thickenability"
    - "simple recognition of halin graphs and their generalizations"
    - "approximation algorithms for polynomial expansion and low density graphs"

Connected through hyperedge HE-2 (induced by source paper "optimally fast incremental manhattan plane embedding and planar tight span construction"):
  with members:
    - "embedding into the rectilinear plane in optimal o n2 time"
    - "optimal embedding into star metrics"

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)