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: "a ptas for the weighted unit disk cover problem"
  Abstract: We are given a set of weighted unit disks and a set of points in Euclidean plane. The minimum weight unit disk cover (\UDC) problem asks for a subset of disks of minimum total weight that covers all given points. \UDC\ is one of the geometric set cover problems, which have been studied extensively for the past two decades (for many different geometric range spaces, such as (unit) disks, halfspaces, rectangles, triangles). It is known that the unweighted \UDC\ problem is NP-hard and admits a polynomial-time approximation scheme (PTAS). For the weighted \UDC\ problem, several constant approximations have been developed. However, whether the problem admits a PTAS has been an open question. In this paper, we answer this question affirmatively by presenting the first PTAS for \UDC. Our result implies the first PTAS for the minimum weight dominating set problem in unit disk graphs. Combining with existing ideas, our result can also be used to obtain the first PTAS for the maxmimum lifetime coverage problem and an improved constant approximation ratio for the connected dominating set problem in unit disk graphs.

Connected through hyperedge HE-1 (induced by source paper "an efficient matheuristic for the minimum weight dominating set problem"):
  with members:
    - "an order based algorithm for minimum dominating set with application in graph mining"
    - "local search for minimum weight dominating set with two level configuration checking and frequency based scoring function"

Connected through hyperedge HE-2 (induced by source paper "linear time approximation schemes for geometric maximum coverage"):
  with members:
    - "faster all pairs shortest paths via circuit complexity"
    - "necklaces convolutions and x y"
    - "improved approximation algorithms for geometric set cover"

Connected through hyperedge HE-3 (induced by source paper "computing a tree having a small vertex cover"):
  with members:
    - "approximation algorithms for the connected sensor cover problem"
    - "analytical approach to parallel repetition"

Connected through hyperedge HE-4 (induced by source paper "geometric dominating set and set cover via local search"):
  with members:
    - "approximation algorithms for polynomial expansion and low density graphs"
    - "a qptas for maximum weight independent set of polygons with polylogarithmically many vertices"
    - "analytical approach to parallel repetition"
    - "approximation algorithms for maximum independent set of pseudo disks"
    - "the geometry of scheduling"

Connected through hyperedge HE-5 (induced by source paper "approximation algorithms for the connected sensor cover problem"):
  with members:
    - "analytical approach to parallel repetition"
    - "analyzing the optimal neighborhood algorithms for budgeted and partial connected dominating set problems"
    - "improved approximation algorithms for geometric set cover"

Connected through hyperedge HE-6 (induced by source paper "approximation algorithm for minimum weight connected m fold dominating set"):
  with members:
    - "constant approximation algorithms for highly connected multi dominating sets in unit disk graphs"

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)