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 "matching colored points with rectangles"):
  Abstract: Let $S$ be a point set in the plane such that each of its elements is colored either red or blue. A matching of $S$ with rectangles is any set of pairwise-disjoint axis-aligned rectangles such that each rectangle contains exactly two points of $S$. Such a matching is monochromatic if every rectangle contains points of the same color, and is bichromatic if every rectangle contains points of different colors. In this paper we study the following two problems: #R##N#1. Find a maximum monochromatic matching of $S$ with rectangles. #R##N#2. Find a maximum bichromatic matching of $S$ with rectangles. #R##N#For each problem we provide a polynomial-time approximation algorithm that constructs a matching with at least $1/4$ of the number of rectangles of an optimal matching. We show that the first problem is $\mathsf{NP}$-hard even if either the matching rectangles are restricted to axis-aligned segments or $S$ is in general position, that is, no two points of $S$ share the same $x$ or $y$ coordinate. We further show that the second problem is also $\mathsf{NP}$-hard, even if $S$ is in general position. These $\mathsf{NP}$-hardness results follow by showing that deciding the existence of a perfect matching is $\mathsf{NP}$-complete in each case. The approximation results are based on a relation of our problem with the problem of finding a maximum independent set in a family of axis-aligned rectangles. With this paper we extend previous ones on matching one-colored points with rectangles and squares, and matching two-colored points with segments. Furthermore, using our techniques, we prove that it is $\mathsf{NP}$-complete to decide a perfect matching with rectangles in the case where all points have the same color, solving an open problem of Bereg, Mutsanas, and Wolff [CGTA (2009)].

Includes members:
  Member "approximation schemes for maximum weight independent set of rectangles":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "independent sets of dynamic rectangles algorithms and experiments")
  Member "approximation algorithms for maximum independent set of pseudo disks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "independent sets of dynamic rectangles algorithms and experiments")
  Member "covering points by disjoint boxes with outliers":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "construction and maintenance of swarm drones")
  Member "minimum weight triangulation is np hard":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "geometry and generation of a new graph planarity game")
  Member "the problem of compatible representatives":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "rock climber distance frogs versus dogs")

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)