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 "polynomial time homology for simplicial eilenberg maclane spaces"):
  Abstract: In an earlier paper of Cadek, Vokrinek, Wagner, and the present authors, we investigated an algorithmic problem in computational algebraic topology, namely, the computation of all possible homotopy classes of maps between two topological spaces, under suitable restriction on the spaces. #R##N#We aim at showing that, if the dimensions of the considered spaces are bounded by a constant, then the computations can be done in polynomial time. In this paper we make a significant technical step towards this goal: we show that the Eilenberg-MacLane space K(Z,1), represented as a simplicial group, can be equipped with polynomial-time homology (this is a polynomial-time version of effective homology considered in previous works of the third author and co-workers). To this end, we construct a suitable discrete vector field, in the sense of Forman's discrete Morse theory, on K(Z,1). The construction is purely combinatorial and it can be understood as a certain procedure for reducing finite sequences of integers, without any reference to topology.The Eilenberg-MacLane spaces are the basic building blocks in a Postnikov system, which is a "layered" representation of a topological space suitable for homotopy-theoretic computations. #R##N#Employing the result of this paper together with some other results on polynomial-time homology, in another paper we obtain, for every fixed k, a polynomial-time algorithm for computing the k-th homotopy group pi_k(X) of a given simply connected space X, as well as the first k stages of a Postnikov system for X, and also a polynomial-time version of the algorithm of Cadek et al. mentioned above.

Includes members:
  Member "extendability of continuous maps is undecidable":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "solving equations and optimization problems with uncertainty")
  Member "polynomial time computation of homotopy groups and postnikov systems in fixed dimension":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "robust satisfiability of systems of equations")
  Member "computing all maps into a sphere":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "computing simplicial representatives of homotopy group elements")
  Member "computing spectral sequences":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "computing simplicial representatives of homotopy group elements")

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)