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 power of nondeterminism in self assembly"):
  Abstract: We investigate the role of nondeterminism in Winfree's abstract Tile Assembly Model (aTAM), which was conceived to model artificial molecular self-assembling systems constructed from DNA. Of particular practical importance is to find tile systems that minimize resources such as the number of distinct tile types, each of which corresponds to a set of DNA strands that must be custom-synthesized in actual molecular implementations of the aTAM. We seek to identify to what extent the use of nondeterminism in tile systems affects the resources required by such molecular shape-building algorithms. #R##N#We first show a "molecular computability theoretic" result: there is an infinite shape S that is uniquely assembled by a tile system but not by any deterministic tile system. We then show an analogous phenomenon in the finitary "molecular complexity theoretic" case: there is a finite shape S that is uniquely assembled by a tile system with c tile types, but every deterministic tile system that uniquely assembles S has more than c tile types. In fact we extend the technique to derive a stronger (classical complexity theoretic) result, showing that the problem of finding the minimum number of tile types that uniquely assemble a given finite shape is Sigma-P-2-complete. In contrast, the problem of finding the minimum number of deterministic tile types that uniquely assemble a shape was shown to be NP-complete by Adleman, Cheng, Goel, Huang, Kempe, Moisset de Espan\'es, and Rothemund (Combinatorial Optimization Problems in Self-Assembly, STOC 2002). #R##N#The conclusion is that nondeterminism confers extra power to assemble a shape from a small tile system, but unless the polynomial hierarchy collapses, it is computationally more difficult to exploit this power by finding the size of the smallest tile system, compared to finding the size of the smallest deterministic tile system.

Includes members:
  Member "on the behavior of tile assembly system at high temperatures":
    also connected through other hyperedges:
      (none)
  Member "self assembly with geometric tiles":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the program size complexity of self assembled paths")
  Member "simulation of self assembly in the abstract tile assembly model with isu tas":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "computing real numbers using dna self assembly")
  Member "negative interactions in irreversible self assembly":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "geometric tiles and powers and limitations of geometric hindrance in self assembly")
  Member "self assembly of arbitrary shapes using rnase enzymes meeting the kolmogorov bound with small scale factor extended abstract":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "know when to fold em self assembly of shapes by folding in oritatami")
  Member "randomized self assembly for exact shapes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "universal simulation of directed systems in the abstract tile assembly model requires undirectedness")
  Member "strict self assembly of discrete sierpinski triangles":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "geometric tiles and powers and limitations of geometric hindrance in self assembly")
  Member "limitations of self assembly at temperature 1":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the program size complexity of self assembled paths")

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)