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: "on the optimality of treating interference as noise for k user parallel gaussian interference networks"
  Abstract: It has been shown recently by Geng et al. that in a $K$ user Gaussian interference network, if for each user the desired signal strength is no less than the sum of the strengths of the strongest interference from this user and the strongest interference to this user (all signal strengths measured in dB scale), then power control and treating interference as noise (TIN) is sufficient to achieve the entire generalized degrees of freedom (GDoF) region. Motivated by the intuition that the deterministic model of Avestimehr et al. (ADT deterministic model) is particularly suited for exploring the optimality of TIN, the results of Geng et al. are first re-visited under the ADT deterministic model, and are shown to directly translate between the Gaussian and deterministic settings. Next, we focus on the extension of these results to parallel interference networks, from a sum-capacity/sum-GDoF perspective. To this end, we interpret the explicit characterization of the sum-capacity/sum-GDoF of a TIN optimal network (without parallel channels) as a minimum weighted matching problem in combinatorial optimization, and obtain a simple characterization in terms of a partition of the interference network into vertex-disjoint cycles. Aided by insights from the cyclic partition, the sum-capacity optimality of TIN for $K$ user parallel interference networks is characterized for the ADT deterministic model, leading ultimately to corresponding GDoF results for the Gaussian setting. In both cases, subject to a mild invertibility condition the optimality of TIN is shown to extend to parallel networks in a separable fashion.

Connected through hyperedge HE-1 (induced by source paper "on the separability of parallel miso broadcast channels under partial csit a degrees of freedom region perspective"):
  with members:
    - "degrees of freedom region of the m n 1 n 2 mimo broadcast channel with partial csit an application of sum set inequalities based on aligned image sets"
    - "towards an extremal network theory robust gdof gain of transmitter cooperation over tin"
    - "dof region of the miso bc with partial csit proof by inductive fourier motzkin elimination"
    - "optimality of simple layered superposition coding in the 3 user miso bc with finite precision csit"
    - "on the optimality of treating inter cell interference as noise in uplink cellular networks"
    - "on the dof of parallel miso bcs with partial csit total order and separability"
    - "optimal dof region of the k user miso bc with partial csit"
    - "elevated multiplexing and signal space partitioning in the 2 user mimo ic with partial csit"

Connected through hyperedge HE-2 (induced by source paper "towards an extremal network theory robust gdof gain of transmitter cooperation over tin"):
  with members:
    - "on multi cell uplink downlink duality with treating inter cell interference as noise"
    - "optimality of simple layered superposition coding in the 3 user miso bc with finite precision csit"
    - "on the optimality of treating inter cell interference as noise in uplink cellular networks"
    - "opportunistic treating interference as noise"
    - "k user symmetric m times n mimo interference channel under finite precision csit a gdof perspective"
    - "aligned image sets and the generalized degrees of freedom of symmetric mimo interference channel with partial csit"
    - "network coherence time matters aligned image sets and the degrees of freedom of interference networks with finite precision csit and perfect csir"
    - "elevated multiplexing and signal space partitioning in the 2 user mimo ic with partial csit"

Connected through hyperedge HE-3 (induced by source paper "on the optimality of treating inter cell interference as noise downlink cellular networks and uplink downlink duality"):
  with members:
    - "towards an extremal network theory robust gdof gain of transmitter cooperation over tin"
    - "on the optimality of treating interference as noise for interfering multiple access channels"
    - "on the optimality of treating inter cell interference as noise in uplink cellular networks"
    - "opportunistic treating interference as noise"
    - "optimality of treating interference as noise a combinatorial perspective"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"
    - "wireless network information flow a deterministic approach"

Connected through hyperedge HE-4 (induced by source paper "on multi cell uplink downlink duality with treating inter cell interference as noise"):
  with members:
    - "on the optimality of treating inter cell interference as noise in uplink cellular networks"
    - "opportunistic treating interference as noise"
    - "optimality of treating interference as noise a combinatorial perspective"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"
    - "downlink interference alignment"

Connected through hyperedge HE-5 (induced by source paper "on the optimality of treating inter cell interference as noise in uplink cellular networks"):
  with members:
    - "on multi cell uplink downlink duality with treating inter cell interference as noise"
    - "on the optimality of treating interference as noise for interfering multiple access channels"
    - "opportunistic treating interference as noise"
    - "interference as noise friend or foe"
    - "optimality of treating interference as noise a combinatorial perspective"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"
    - "achievable and crystallized rate regions of the interference channel with interference as noise"

Connected through hyperedge HE-6 (induced by source paper "opportunistic treating interference as noise"):
  with members:
    - "on multi cell uplink downlink duality with treating inter cell interference as noise"
    - "on the optimality of treating interference as noise for interfering multiple access channels"
    - "on the optimality of treating inter cell interference as noise in uplink cellular networks"
    - "robust signaling for bursty interference"
    - "multiaccess communication via a broadcast approach adapted to the multiuser channel"
    - "optimality of treating interference as noise a combinatorial perspective"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"

Connected through hyperedge HE-7 (induced by source paper "on the optimality of treating interference as noise for interfering multiple access channels"):
  with members:
    - "optimality of treating interference as noise a combinatorial perspective"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"
    - "achievable and crystallized rate regions of the interference channel with interference as noise"
    - "a new outer bound and the noisy interference sum rate capacity for gaussian interference channels"
    - "capacity bounds for the gaussian interference channel"
    - "gaussian interference channel capacity to within one bit"

Connected through hyperedge HE-8 (induced by source paper "on the dof of parallel miso bcs with partial csit total order and separability"):
  with members:
    - "sum set inequalities from aligned image sets instruments for robust gdof bounds"
    - "optimal dof region of the k user miso bc with partial csit"
    - "elevated multiplexing and signal space partitioning in the 2 user mimo ic with partial csit"
    - "sum rate maximization for linearly precoded downlink multiuser miso systems with partial csit a rate splitting approach"
    - "gdof of the k user symmetric miso bc bridging the gap between finite precision and perfect csit"
    - "miso networks with imperfect csit a topological rate splitting approach"
    - "miso broadcast channel with hybrid csit beyond two users"
    - "gdof of the miso bc bridging the gap between finite precision and perfect csit"

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.IT(Information Theory)