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: "approximate and incremental network function placement"
  Abstract: The virtualization and softwarization of modern computer networks introduces interesting new opportunities for a more flexible placement of network functions and middleboxes (firewalls, proxies, traffic optimizers, virtual switches, etc.). This paper studies approximation algorithms for the incremental deployment of a minimum number of middleboxes at optimal locations, such that capacity constraints at the middleboxes and length constraints on the communication routes are respected. Our main contribution is a new, purely combinatorial and rigorous proof for the submodularity of the function maximizing the number of communication requests that can be served by a given set of middleboxes. Our proof allows us to devise a deterministic approximation algorithm which uses an augmenting path approach to compute the submodular function. This algorithm does not require any changes to the locations of existing middleboxes or the preemption of previously served communication pairs when additional middleboxes are deployed, previously accepted communication pairs just can be handed over to another middlebox. It is hence particularly attractive for incremental deployments.We prove that the achieved polynomial-time approximation bound is optimal, unless P = NP. This paper also initiates the study of a weighted problem variant, in which entire groups of nodes need to communicate via a middlebox (e.g., a multiplexer or a shared object), possibly at different rates. We present an LP relaxation and randomized rounding algorithm for this problem, leveraging an interesting connection to scheduling.

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"
    - "shortest path and maximum flow problems under service function chaining constraints"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"
    - "stratos a network aware orchestration layer for virtual middleboxes in clouds"

Connected through hyperedge HE-2 (induced by source paper "okpi all kpi network slicing through efficient resource allocation"):
  with members:
    - "a utility driven multi queue admission control solution for network slicing"
    - "getting the most out of your vnfs flexible assignment of service priorities in 5g"
    - "joint service placement and request routing in multi cell mobile edge computing networks"
    - "vnf placement and resource allocation for the support of vertical services in 5g networks"
    - "joint service caching and task offloading for mobile edge computing in dense networks"
    - "jasper joint optimization of scaling placement and routing of virtual network services"
    - "z torch an automated nfv orchestration and monitoring solution"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"

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"
    - "shortest path and maximum flow problems under service function chaining constraints"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"
    - "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:
    - "shortest path and maximum flow problems under service function chaining constraints"
    - "towards practical constrained monotone submodular maximization"
    - "optimal dynamic cloud network control"
    - "provably efficient algorithms for joint placement and allocation of virtual network functions"
    - "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 "joint service placement and request routing in multi cell mobile edge computing networks"):
  with members:
    - "joint service caching and task offloading for mobile edge computing in dense networks"
    - "mobile edge computing a survey on architecture and computation offloading"
    - "5g ultra dense cellular networks"

Connected through hyperedge HE-6 (induced by source paper "multi commodity flow with in network processing"):
  with members:
    - "virtual network embedding approximations leveraging randomized rounding"
    - "an approximation algorithm for path computation and function placement in sdns"
    - "accelerating the development of software defined network optimization applications using sol"
    - "analytical approach to parallel repetition"

Connected through hyperedge HE-7 (induced by source paper "walking through waypoints"):
  with members:
    - "virtual network embedding approximations leveraging randomized rounding"
    - "an approximation algorithm for path computation and function placement in sdns"
    - "new algorithms for maximum disjoint paths based on tree likeness"
    - "service chain and virtual network embeddings approximations using randomized rounding"
    - "online admission control and embedding of service chains"
    - "on routing disjoint paths in bounded treewidth graphs"
    - "vertex disjoint path in upward planar graphs"
    - "the planar directed k vertex disjoint paths problem is fixed parameter tractable"

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)