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 "np completeness and inapproximability of the virtual network embedding problem and its variants"):
  Abstract: Many resource allocation problems in the cloud can be described as a basic Virtual Network Embedding Problem (VNEP): the problem of finding a mapping of a request graph (describing a workload) onto a substrate graph (describing the physical infrastructure). Applications range from mapping testbeds (from where the problem originated), over the embedding of batch-processing workloads (virtual clusters) to the embedding of service function chains. The different applications come with their own specific requirements and constraints, including node mapping constraints, routing policies, and latency constraints. While the VNEP has been studied intensively over the last years, complexity results are only known for specific models and we lack a comprehensive understanding of its hardness. #R##N#This paper charts the complexity landscape of the VNEP by providing a systematic analysis of the hardness of a wide range of VNEP variants, using a unifying and rigorous proof framework. In particular, we show that the problem of finding a feasible embedding is already $\mathcal{NP}$-complete in general, and, hence, the VNEP cannot be approximated under any objective, unless $\mathcal{NP} = \mathcal{P}$ holds. Importantly, we derive $\mathcal{NP}$-completeness results also for finding approximate embeddings, which may violate, e.g., capacity constraints by certain factors. Lastly, we prove that our results still pertain when restricting the request graphs to planar or degree-bounded graphs.

Includes members:
  Member "fpt approximation algorithms for the virtual network embedding problem":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "virtual network embedding approximations leveraging randomized rounding")
  Member "virtual network embedding approximations leveraging randomized rounding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "joint wireless and edge computing resource management with dynamic network slice selection")
  Member "an approximation algorithm for path computation and function placement in sdns":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "robust network function virtualization")
  Member "specifying and placing chains of virtual network functions":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a virtual network customization framework for multicast services in nfv enabled core networks")
  Member "competitive and deterministic embeddings of virtual networks":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "robust online composition routing and nf placement for nfv enabled services")
  Member "subgraph isomorphism in planar graphs and related problems":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a survey on subgraph counting concepts algorithms and applications to network motifs and graphlets")

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.NI(Networking and Internet Architecture)