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 capacity of the k user cyclic gaussian interference channel"
  Abstract: This paper studies the capacity region of a $K$-user cyclic Gaussian interference channel, where the $k$th user interferes with only the $(k-1)$th user (mod $K$) in the network. Inspired by the work of Etkin, Tse and Wang, who derived a capacity region outer bound for the two-user Gaussian interference channel and proved that a simple Han-Kobayashi power splitting scheme can achieve to within one bit of the capacity region for all values of channel parameters, this paper shows that a similar strategy also achieves the capacity region of the $K$-user cyclic interference channel to within a constant gap in the weak interference regime. Specifically, for the $K$-user cyclic Gaussian interference channel, a compact representation of the Han-Kobayashi achievable rate region using Fourier-Motzkin elimination is first derived, a capacity region outer bound is then established. It is shown that the Etkin-Tse-Wang power splitting strategy gives a constant gap of at most 2 bits in the weak interference regime. For the special 3-user case, this gap can be sharpened to 1 1/2 bits by time-sharing of several different strategies. The capacity result of the $K$-user cyclic Gaussian interference channel in the strong interference regime is also given. Further, based on the capacity results, this paper studies the generalized degrees of freedom (GDoF) of the symmetric cyclic interference channel. It is shown that the GDoF of the symmetric capacity is the same as that of the classic two-user interference channel, no matter how many users are in the network.

Connected through hyperedge HE-1 (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"
    - "on the optimality of treating interference as noise for k user parallel gaussian interference networks"

Connected through hyperedge HE-2 (induced by source paper "on the dof of two way 2 2 2 relay networks with or without relay caching"):
  with members:
    - "fundamental limits of cache aided interference management"
    - "on the capacity regions of two way diamond channels"
    - "beyond one way communication degrees of freedom of multi way relay mimo interference networks"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "caching eliminates the wireless bottleneck in video aware wireless networks"
    - "design and characterization of a full duplex multiantenna system for wifi networks"
    - "nested lattice codes for gaussian two way relay channels"
    - "lattice coding for the two way two relay channel"

Connected through hyperedge HE-3 (induced by source paper "approximate capacity of a class of partially connected interference channels"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "topological interference management through index coding"
    - "on the capacity region for index coding"
    - "an equivalence between network coding and index coding"
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "nested lattice codes for gaussian relay networks with interference"
    - "interference alignment from degrees of freedom to constant gap capacity approximations"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"

Connected through hyperedge HE-4 (induced by source paper "on the sum capacity of many to one and one to many gaussian interference channels"):
  with members:
    - "on the gaussian many to one x channel"
    - "lattice codes for many to one interference channels with and without cognitive messages"
    - "capacity bounds for the k user gaussian interference channel"
    - "k user interference channels general outer bound and sum capacity for certain gaussian channels"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "interference alignment and a noisy interference regime for many to one interference channels"
    - "capacity bounds for the gaussian interference channel"
    - "new outer bounds on the capacity region of gaussian interference channels"

Connected through hyperedge HE-5 (induced by source paper "capacity bounds for the k user gaussian interference channel"):
  with members:
    - "on the high snr capacity of the gaussian interference channel and new capacity bounds"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "wireless network information flow a deterministic approach"
    - "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case"
    - "interference alignment from degrees of freedom to constant gap capacity approximations"
    - "a new sum rate outer bound for interference channels with three source destination pairs"
    - "k user interference channels general outer bound and sum capacity for certain gaussian channels"

Connected through hyperedge HE-6 (induced by source paper "optimality of treating interference as noise a combinatorial perspective"):
  with members:
    - "on the optimality of treating interference as noise a combinatorial optimization perspective"
    - "topological interference management with transmitter cooperation"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"
    - "on the optimality of treating interference as noise for k user parallel gaussian interference networks"
    - "on the optimality of treating interference as noise"
    - "base station assisted device to device communications for high throughput wireless video networks"
    - "mimo downlink scheduling with non perfect channel state knowledge"

Connected through hyperedge HE-7 (induced by source paper "on the optimality of treating interference as noise a combinatorial optimization perspective"):
  with members:
    - "topological interference management with transmitter cooperation"
    - "on the optimality of treating interference as noise compound interference networks"
    - "on the optimality of treating interference as noise general message sets"
    - "on the optimality of treating interference as noise for k user parallel gaussian interference networks"
    - "a new outer bound and the noisy interference sum rate capacity for gaussian interference channels"

Connected through hyperedge HE-8 (induced by source paper "instantaneous relaying for the 3 way relay channel with circular message exchanges"):
  with members:
    - "resource allocation for energy efficient 3 way relay channels"
    - "gaussian interference channel capacity to within one bit"

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)