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 "annotating simplices with a homology basis and its applications"):
  Abstract: Let $K$ be a simplicial complex and $g$ the rank of its $p$-th homology group $H_p(K)$ defined with $Z_2$ coefficients. We show that we can compute a basis $H$ of $H_p(K)$ and annotate each $p$-simplex of $K$ with a binary vector of length $g$ with the following property: the annotations, summed over all $p$-simplices in any $p$-cycle $z$, provide the coordinate vector of the homology class $[z]$ in the basis $H$. The basis and the annotations for all simplices can be computed in $O(n^{\omega})$ time, where $n$ is the size of $K$ and $\omega<2.376$ is a quantity so that two $n\times n$ matrices can be multiplied in $O(n^{\omega})$ time. The pre-computation of annotations permits answering queries about the independence or the triviality of $p$-cycles efficiently. #R##N#Using annotations of edges in 2-complexes, we derive better algorithms for computing optimal basis and optimal homologous cycles in 1-dimensional homology. Specifically, for computing an optimal basis of $H_1(K)$, we improve the time complexity known for the problem from $O(n^4)$ to $O(n^{\omega}+n^2g^{\omega-1})$. Here $n$ denotes the size of the 2-skeleton of $K$ and $g$ the rank of $H_1(K)$. Computing an optimal cycle homologous to a given 1-cycle is NP-hard even for surfaces and an algorithm taking $2^{O(g)}n\log n$ time is known for surfaces. We extend this algorithm to work with arbitrary 2-complexes in $O(n^{\omega})+2^{O(g)}n^2\log n$ time using annotations.

Includes members:
  Member "determining edge expansion and other connectivity measures of graphs of bounded genus":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "holiest minimum cost paths and flows in surface graphs")
  Member "approximating loops in a shortest homology basis from point data":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "computing minimal persistent cycles polynomial and hard cases")
  Member "quantifying homology classes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "minimum cuts in surface graphs")
  Member "quantifying homology classes ii localization and stability":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "minimum cuts in surface graphs")
  Member "dynamic generators of topologically embedded graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "obtaining a canonical polygonal schema from a greedy homotopy basis with minimal mesh refinement")

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)