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 "near optimal algorithms for shortest paths in weighted unit disk graphs"):
  Abstract: We revisit a classical graph-theoretic problem, the \textit{single-source shortest-path} (SSSP) problem, in weighted unit-disk graphs. We first propose an exact (and deterministic) algorithm which solves the problem in $O(n \log^2 n)$ time using linear space, where $n$ is the number of the vertices of the graph. This significantly improves the previous deterministic algorithm by Cabello and Jej\v{c}i\v{c} [CGTA'15] which uses $O(n^{1+\delta})$ time and $O(n^{1+\delta})$ space (for any small constant $\delta>0$) and the previous randomized algorithm by Kaplan et al. [SODA'17] which uses $O(n \log^{12+o(1)} n)$ expected time and $O(n \log^3 n)$ space. More specifically, we show that if the 2D offline insertion-only (additively-)weighted nearest-neighbor problem with $k$ operations (i.e., insertions and queries) can be solved in $f(k)$ time, then the SSSP problem in weighted unit-disk graphs can be solved in $O(n \log n+f(n))$ time. Using the same framework with some new ideas, we also obtain a $(1+\varepsilon)$-approximate algorithm for the problem, using $O(n \log n + n \log^2(1/\varepsilon))$ time and linear space. This improves the previous $(1+\varepsilon)$-approximate algorithm by Chan and Skrepetos [SoCG'18] which uses $O((1/\varepsilon)^2 n \log n)$ time and $O((1/\varepsilon)^2 n)$ space. More specifically, we show that if the 2D offline insertion-only weighted nearest-neighbor problem with $k_1$ operations in which at most $k_2$ operations are insertions can be solved in $f(k_1,k_2)$ time, then the $(1+\varepsilon)$-approximate SSSP problem in weighted unit-disk graphs can be solved in $O(n \log n+f(n,O(\varepsilon^{-2})))$ time. Because of the $\Omega(n \log n)$-time lower bound of the problem (even when approximation is allowed), both of our algorithms are almost optimal.

Includes members:
  Member "fine grained complexity analysis of two classic tsp variants":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "maintaining the union of unit discs under insertions with near optimal overhead")
  Member "dynamic planar voronoi diagrams for general distance functions and their algorithmic applications":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a graph theoretic additive approximation of optimal transport")
  Member "shortest paths in intersection graphs of unit disks":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "nearly optimal planar k nearest neighbors queries under general distance functions")

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)