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: "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.

Connected through hyperedge HE-1 (induced by source paper "minimum bounded chains and minimum homologous chains in embedded simplicial complexes"):
  with members:
    - "computing minimal persistent cycles polynomial and hard cases"
    - "on the hardness of learning sparse parities"
    - "the least spanning area of a knot and the optimal bounding chain problem"
    - "a simple deterministic reduction for the gap minimum distance of code problem"
    - "almost 2 sat is fixed parameter tractable"

Connected through hyperedge HE-2 (induced by source paper "an efficient algorithm for 1 dimensional persistent path homology"):
  with members:
    - "fast matrix rank algorithms and applications"

Connected through hyperedge HE-3 (induced by source paper "holiest minimum cost paths and flows in surface graphs"):
  with members:
    - "minimum cycle and homology bases of surface embedded graphs"
    - "minimum cut of directed planar graphs in o nloglogn time"
    - "faster parametric shortest path and minimum balance algorithms"
    - "all pairs minimum cuts in near linear time for surface embedded graphs"
    - "computing the girth of a planar graph in linear time"
    - "lattices and maximum flow algorithms in planar graphs"
    - "multiple source shortest paths in embedded graphs"
    - "multiple source multiple sink maximum flow in directed planar graphs in near linear time"

Connected through hyperedge HE-4 (induced by source paper "computing multiparameter persistent homology through a discrete morse based approach"):
  with members:
    - "persistence perfect discrete gradient vector fields and multi parameter persistence"
    - "computing discrete morse complexes from simplicial complexes"
    - "reducing complexes in multidimensional persistent homology theory"
    - "computing topological persistence for simplicial maps"
    - "computing multidimensional persistence"

Connected through hyperedge HE-5 (induced by source paper "the compressed annotation matrix an efficient data structure for computing persistent cohomology"):
  with members:
    - "the simplex tree an efficient data structure for general simplicial complexes"
    - "computing topological persistence for simplicial maps"

Connected through hyperedge HE-6 (induced by source paper "computing topological persistence for simplicial maps"):
  with members:
    - "the compressed annotation matrix an efficient data structure for computing persistent cohomology"
    - "graph induced complex on point data"
    - "linear size approximations to the vietoris rips filtration"
    - "fast construction of nets in low dimensional metrics and their applications"

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)