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 "equipartitions with wedges and cones"):
  Abstract: A famous result about mass partitions is the so called \emph{Ham-Sandwich theorem}. It states that any $d$ mass distributions in $\mathbb{R}^d$ can be simultaneously bisected by a single hyperplane. In this work, we study two related questions. #R##N#The first one is, whether we can bisect more than $d$ masses, if we allow for bisections with more general objects such as cones, wedges or double wedges. We answer this question in the affirmative by showing that with all of these objects, we can simultaneously bisect $d+1$ masses. For double wedges, we prove a stronger statement, namely that $d$ families of $d+1$ masses each can each by simultaneously bisected by some double wedge such that all double wedges have one hyperplane in common. #R##N#The second question is, how many masses we can simultaneously equipartition with a $k$-fan, that is, $k$ half-hyperplanes in $\mathbb{R}^d$, emanating from a common $(d-2)$-dimensional apex. This question was already studied in the plane, our contribution is to extend the planar results to higher dimensions. #R##N#All of our results are proved using topological methods. We use some well-established techniques, but also some newer methods. In particular, we introduce a Borsuk-Ulam theorem for flag manifolds, which we believe to be of independent interest.

Includes members:
  Member "sharing a pizza bisecting masses with two cuts":
    also connected through other hyperedges:
      (none)
  Member "ham sandwich cuts and center transversals in subspaces":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "bisecting three classes of lines")
  Member "computing balanced islands in two colored point sets in the plane":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "geometric systems of unbiased representatives")
  Member "balanced partitions of 3 colored geometric sets in the plane":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "geometric systems of unbiased representatives")

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)