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 "virtual network embedding approximations leveraging randomized rounding"):
  Abstract: The Virtual Network Embedding Problem (VNEP) captures the essence of many resource allocation problems of today's Cloud Providers, which offer their physical computation and networking resources to customers. Customers request resources in the form of Virtual Networks, i.e. as a directed graph, specifying computational requirements at the nodes and bandwidth requirements on the edges. An embedding of a Virtual Network on the shared physical infrastructure is the joint mapping of (virtual) nodes to \emph{suitable} physical servers together with the mapping of (virtual) edges onto paths in the physical network connecting the respective servers. We study the offline setting of the VNEP in which multiple requests are given and the task is to find the most profitable set of requests to embed while not exceeding the physical resource capacities. #R##N#This paper initiates the study of approximation algorithms for the VNEP by employing randomized rounding of Linear Programming solutions. We show that the standard Linear Programming formulation exhibits an inherent structural deficit, yielding large (or even infinite) integrality gaps. In turn, focusing on the class of cactus graphs for virtual networks, we devise a novel Linear Programming formulation together with an algorithm to decompose fractional solutions into convex combinations of valid embeddings. Applying randomized rounding, we obtain the first tri-criteria approximation algorithm in the classic resource augmentation model.

Includes members:
  Member "fpt approximation algorithms for the virtual network embedding problem":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "np completeness and inapproximability of the virtual network embedding problem and its variants")
  Member "an approximation algorithm for path computation and function placement in sdns":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "robust network function virtualization")
  Member "service chain and virtual network embeddings approximations using randomized rounding":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "robust network function virtualization")
  Member "online admission control and embedding of service chains":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "robust online composition routing and nf placement for nfv enabled services")
  Member "specifying and placing chains of virtual network functions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a virtual network customization framework for multicast services in nfv enabled core networks")

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)