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 degrees of freedom of finite state compound wireless networks settling a conjecture by weingarten et al"
  Abstract: We explore the degrees of freedom (DoF) of three classes of finite state compound wireless networks in this paper. First, we study the multiple-input single-output (MISO) finite state compound broadcast channel (BC) with arbitrary number of users and antennas at the transmitter. In prior work, Weingarten et. al. have found inner and outer bounds on the DoF with 2 users. The bounds have a different character. While the inner bound collapses to unity as the number of states increases, the outer bound does not diminish with the increasing number of states beyond a threshold value. It has been conjectured that the outer bound is loose and the inner bound represents the actual DoF. In the complex setting (all signals, noise, and channel coefficients are complex variables) we solve a few cases to find that the outer bound -and not the inner bound- of Weingarten et. al. is tight. For the real setting (all signals, noise and channel coefficients are real variables) we completely characterize the DoF, once again proving that the outer bound of Weingarten et. al. is tight. We also extend the results to arbitrary number of users. Second, we characterize the DoF of finite state scalar (single antenna nodes) compound X networks with arbitrary number of users in the real setting. Third, we characterize the DoF of finite state scalar compound interference networks with arbitrary number of users in both the real and complex setting. The key finding is that scalar interference networks and (real) X networks do not lose any DoF due to channel uncertainty at the transmitter in the finite state compound setting. The finite state compound MISO BC does lose DoF relative to the perfect CSIT scenario. However, what is lost is only the DoF benefit of joint processing at transmit antennas, without which the MISO BC reduces to an X network.

Connected through hyperedge HE-1 (induced by source paper "mimo broadcast channel with an unknown eavesdropper secrecy degrees of freedom"):
  with members:
    - "secure degrees of freedom of the gaussian wiretap channel with helpers and no eavesdropper csi blind cooperative jamming"
    - "universal secure network coding via rank metric codes"
    - "degrees of freedom region of the gaussian mimo broadcast channel with common and private messages"
    - "secrecy degrees of freedom of mimo broadcast channels with delayed csit"
    - "mimo wiretap channels with arbitrarily varying eavesdropper channel states"
    - "secure transmission with multiple antennas ii the mimome wiretap channel"
    - "the secrecy capacity region of the gaussian mimo multi receiver wiretap channel"
    - "on the compound mimo broadcast channels with confidential messages"

Connected through hyperedge HE-2 (induced by source paper "degrees of freedom region for an interference network with general message demands"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "degrees of freedom regions of two user mimo z and full interference channels the benefit of reconfigurable antennas"
    - "interference alignment for the k user mimo interference channel"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "aiming perfectly in the dark blind interference alignment through staggered antenna switching"
    - "capacity regions and sum rate capacities of vector gaussian interference channels"
    - "on feasibility of interference alignment in mimo interference networks"
    - "on the degrees of freedom regions of two user mimo z and full interference channels with reconfigurable antennas"

Connected through hyperedge HE-3 (induced by source paper "interference alignment for the multi antenna compound wiretap channel"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "interference alignment for secrecy"
    - "aiming perfectly in the dark blind interference alignment through staggered antenna switching"
    - "the secrecy capacity region of the gaussian mimo multi receiver wiretap channel"
    - "real interference alignment with real numbers"
    - "degraded compound multi receiver wiretap channels"
    - "towards the secrecy capacity of the gaussian mimo wire tap channel the 2 2 1 channel"
    - "secure degrees of freedom for gaussian channels with interference structured codes outperform gaussian signaling"

Connected through hyperedge HE-4 (induced by source paper "on the secrecy degress of freedom of the multi antenna block fading wiretap channels"):
  with members:
    - "interference alignment for the multi antenna compound wiretap channel"
    - "on the secure dof of the single antenna mac"
    - "exploiting channel correlations simple interference alignment schemes with no csit"
    - "on the degrees of freedom of the compound mimo broadcast channels with finite states"
    - "on the compound mimo broadcast channels with confidential messages"
    - "on the secure degrees of freedom in the k user gaussian interference channel"

Connected through hyperedge HE-5 (induced by source paper "aiming perfectly in the dark blind interference alignment through staggered antenna switching"):
  with members:
    - "the ergodic capacity of phase fading interference networks"
    - "exploiting channel correlations simple interference alignment schemes with no csit"
    - "on the degrees of freedom of the compound mimo broadcast channels with finite states"
    - "ergodic interference alignment"

Connected through hyperedge HE-6 (induced by source paper "interference alignment and a noisy interference regime for many to one interference channels"):
  with members:
    - "ergodic fading interference channels sum capacity and separability"
    - "capacity regions and sum rate capacities of vector gaussian interference channels"
    - "asymptotic equipartition property of output when rate is above capacity"
    - "a new outer bound and the noisy interference sum rate capacity for gaussian interference channels"
    - "interference alignment with asymmetric complex signaling settling the host madsen nosratinia conjecture"
    - "capacity of a class of symmetric simo gaussian interference channels within o 1"
    - "gaussian interference networks sum capacity in the low interference regime and new outer bounds on the capacity region"
    - "capacity bounds for the gaussian interference channel"

Connected through hyperedge HE-7 (induced by source paper "on the degrees of freedom of the compound mimo broadcast channels with finite states"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "a layered lattice coding scheme for a class of three user gaussian interference channels"
    - "capacity of symmetric k user gaussian very strong interference channels"
    - "degrees of freedom of wireless x networks"
    - "on the capacity of fading mimo broadcast channels with imperfect transmitter side information"

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)