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 "the impacts of dimensionality diffusion and directedness on intrinsic universality in the abstract tile assembly model"):
  Abstract: We present a series of results related to mathematical models of self-assembling tiles and the impacts that three diverse properties have on their dynamics. We expand upon a series of prior results which showed that (1) the abstract Tile Assembly Model (aTAM) is intrinsically universal (IU) [FOCS 2012], and (2) the class of directed aTAM systems is not IU [FOCS 2016]. IU for a model (or class of systems within a model) means that there is a universal tile set which can be used to simulate an arbitrary system within that model (or class). Furthermore, the simulation must not only produce the same resultant structures, it must also maintain the full dynamics of the systems being simulated modulo only a scale factor. While the FOCS 2012 result showed the standard, two-dimensional (2D) aTAM is IU, here we show this is also the case for the 3D version. Conversely, the FOCS 2016 result showed the class of aTAM systems which are directed (a.k.a. deterministic, or confluent) is not IU, implying that nondeterminism is fundamentally required for such simulations. Here, however, we show that in 3D the class of directed aTAM systems is actually IU, i.e. there is a universal directed simulator for them. We then consider the influence of more rigid notions of dimensionality. Namely, we introduce the Planar aTAM, where tiles are not only restricted to binding in the plane, but also to traveling in the plane, and prove that the Planar aTAM is not IU, and that the class of directed systems within the Planar aTAM also is not IU. Finally, analogous to the Planar aTAM, we introduce the Spatial aTAM, its 3D counterpart, and prove that it is IU. #R##N#To prove our positive results we have not only designed, but also implemented what we believe to be the first IU tile set ever implemented and simulated in any tile assembly model. We've made it and a simulator which can demonstrate it freely available.

Includes members:
  Member "self assembly of 3 d structures using 2 d folding tiles":
    also connected through other hyperedges:
      (none)
  Member "the non cooperative tile assembly model is not intrinsically universal or capable of bounded turing machine simulation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the program size complexity of self assembled paths")
  Member "universal simulation of directed systems in the abstract tile assembly model requires undirectedness":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "self assembly of 4 sided fractals in the two handed tile assembly model")
  Member "the simulation powers and limitations of higher temperature hierarchical self assembly systems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "self assembly of 4 sided fractals in the two handed tile assembly model")
  Member "computing in continuous space with self assembling polygonal tiles":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the program size complexity of self assembled paths")
  Member "doubles and negatives are positive in self assembly":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "geometric tiles and powers and limitations of geometric hindrance in self assembly")
  Member "the power of duples in self assembly it s not so hip to be square":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the program size complexity of self assembled paths")
  Member "signal transmission across tile assemblies 3d static tiles simulate active self assembly by 2d signal passing tiles":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "simulation of programmable matter systems using active tile based self assembly")

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)