human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "shortest path and maximum flow problems under service function chaining constraints"
  Abstract: With the advent of Network Function Virtualization (NFV), Physical Network Functions (PNFs) are gradually being replaced by Virtual Network Functions (VNFs) that are hosted on general purpose servers. Depending on the call flows for specific services, the packets need to pass through an ordered set of network functions (physical or virtual) called Service Function Chains (SFC) before reaching the destination. Conceivably for the next few years during this transition, these networks would have a mix of PNFs and VNFs, which brings an interesting mix of network problems that are studied in this paper: (1) How to find an SFC-constrained shortest path between any pair of nodes? (2) What is the achievable SFC-constrained maximum flow? (3) How to place the VNFs such that the cost (the number of nodes to be virtualized) is minimized, while the maximum flow of the original network can still be achieved even under the SFC constraint? In this work, we will try to address such emerging questions. First, for the SFC-constrained shortest path problem, we propose a transformation of the network graph to minimize the computational complexity of subsequent applications of any shortest path algorithm. Second, we formulate the SFC-constrained maximum flow problem as a fractional multicommodity flow problem, and develop a combinatorial algorithm for a special case of practical interest. Third, we prove that the VNFs placement problem is NP-hard and present an alternative Integer Linear Programming (ILP) formulation. Finally, we conduct simulations to elucidate our theoretical results.

Connected through hyperedge HE-1 (induced by source paper "online joint placement and allocation of virtual network functions with heterogeneous servers"):
  with members:
    - "joint placement and allocation of virtual network functions with budget and capacity constraints"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"
    - "approximate and incremental network function placement"
    - "stratos a network aware orchestration layer for virtual middleboxes in clouds"

Connected through hyperedge HE-2 (induced by source paper "robust network function virtualization"):
  with members:
    - "integrated nfv sdn architectures a systematic literature review"
    - "a scalable approach for service chain mapping with multiple sc instances in a wide area network"
    - "service function chaining resource allocation a survey"
    - "an approximation algorithm for path computation and function placement in sdns"
    - "service chain and virtual network embeddings approximations using randomized rounding"
    - "network function virtualization state of the art and research challenges"
    - "fronthaul constrained cloud radio access networks insights and challenges"
    - "lp rounding algorithms for facility location problems"

Connected through hyperedge HE-3 (induced by source paper "placement and allocation of virtual network functions multi dimensional case"):
  with members:
    - "joint placement and allocation of virtual network functions with budget and capacity constraints"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"
    - "approximate and incremental network function placement"
    - "string submodular functions with curvature constraints"
    - "online admission control and embedding of service chains"
    - "competitive and deterministic embeddings of virtual networks"
    - "maximizing sequence submodular functions and its application to online advertising"

Connected through hyperedge HE-4 (induced by source paper "joint placement and allocation of virtual network functions with budget and capacity constraints"):
  with members:
    - "towards practical constrained monotone submodular maximization"
    - "optimal dynamic cloud network control"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"
    - "approximate and incremental network function placement"
    - "online admission control and embedding of service chains"
    - "constrained monotone function maximization and the supermodular degree"

Connected through hyperedge HE-5 (induced by source paper "placement and routing optimization problem for service function chain state of art and future opportunities"):
  with members:
    - "a scalable approach for service chain mapping with multiple sc instances in a wide area network"
    - "distributed service function chaining"

Question: Please tell me which class the center node 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)