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: "maximal f vectors of minkowski sums of large numbers of polytopes"
  Abstract: It is known that in the Minkowski sum of $r$ polytopes in dimension $d$, with $r<d$, the number of vertices of the sum can potentially be as high as the product of the number of vertices in each summand. However, the number of vertices for sums of more polytopes was unknown so far. In this paper, we study sums of polytopes in general orientations, and show a linear relation between the number of faces of a sum of $r$ polytopes in dimension $d$, with $r\geq d$, and the number of faces in the sums of less than $d$ of the summand polytopes. We deduce from this exact formula a tight bound on the maximum possible number of vertices of the Minkowski sum of any number of polytopes in any dimension. In particular, the linear relation implies that a sum of $r$ polytopes in dimension $d$ has a number of vertices in $O(n^{d-1})$ of the total number of vertices in the summands, even when $r\geq d$. This bound is tight, in the sense that some sums do have that many vertices.

Connected through hyperedge HE-1 (induced by source paper "a geometric approach for the upper bound theorem for minkowski sums of convex polytopes"):
  with members:
    - "the maximum number of faces of the minkowski sum of two convex polytopes"

Connected through hyperedge HE-2 (induced by source paper "the maximum number of faces of the minkowski sum of two convex polytopes"):
  with members:
    - "a geometric approach for the upper bound theorem for minkowski sums of convex polytopes"
    - "tight lower bounds on the number of faces of the minkowski sum of convex polytopes via the cayley trick"
    - "convex hulls of spheres and convex hulls of convex polytopes lying on parallel hyperplanes"
    - "minkowski sum construction and other applications of arrangements of geodesic arcs on the sphere"

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)