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 "homomorphism reconfiguration via homotopy"):
  Abstract: We consider the following problem for a fixed graph H: given a graph G and two H-colorings of G, i.e. homomorphisms from G to H, can one be transformed (reconfigured) into the other by changing one color at a time, maintaining an H-coloring throughout. This is the same as finding a path in the Hom(G,H) complex. For H=K_k this is the problem of finding paths between k-colorings, which was shown to be in P for k<=3 and PSPACE-complete otherwise by Cereceda et al. 2011. We generalize the positive side of this dichotomy by providing an algorithm that solves the problem in polynomial time for any H with no C_4 subgraph. This gives a large class of constraints for which finding solutions to the Constraint Satisfaction Problem is NP-complete, but finding paths in the solution space is P. #R##N#The algorithm uses a characterization of possible reconfiguration sequences (paths in Hom(G,H)), whose main part is a purely topological condition described in algebraic terms of the fundamental groupoid of H seen as a topological space.

Includes members:
  Member "reconfiguring independent sets in claw free graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "independent set reconfiguration parameterized by modular width")
  Member "shortest reconfiguration paths in the solution space of boolean formulas":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "dominating sets reconfiguration under token sliding")
  Member "reconfiguration in bounded bandwidth and treedepth":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "independent set reconfiguration thresholds of hereditary graph classes")
  Member "the complexity of bounded length graph recoloring":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a reconfigurations analogue of brooks theorem and its consequences")
  Member "a computational trichotomy for connectivity of boolean satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "trichotomy for the reconfiguration problem of integer linear systems")
  Member "shortest paths between shortest paths and independent sets":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the connectedness of clash free timetables")
  Member "the connectivity of boolean satisfiability computational and structural dichotomies":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "dominating sets reconfiguration under token sliding")
  Member "on the solution space geometry of random constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "quantitative verification of neural networks and its security applications")

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.CC(Computational Complexity)