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 the compound mimo broadcast channels with finite states"
  Abstract: Multiple-antenna broadcast channels with $M$ transmit antennas and $K$ single-antenna receivers is considered, where the channel of receiver $r$ takes one of the $J_r$ finite values. It is assumed that the channel states of each receiver are randomly selected from $\mathds{R}^{M\times 1}$ (or from $\mathds{C}^{M\times 1}$). It is shown that no matter what $J_r$ is, the degrees of freedom (DoF) of $\frac{MK}{M+K-1}$ is achievable. The achievable scheme relies on the idea of interference alignment at receivers, without exploiting the possibility of cooperation among transmit antennas. It is proven that if $J_r \geq M$, $r=1,...,K$, this scheme achieves the optimal DoF. This results implies that when the uncertainty of the base station about the channel realization is considerable, the system loses the gain of cooperation. However, it still benefits from the gain of interference alignment. In fact, in this case, the compound broadcast channel is treated as a compound X channel. #R##N#Moreover, it is shown that when the base station knows the channel states of some of the receivers, a combination of transmit cooperation and interference alignment would achieve the optimal DoF. #R##N#Like time-invariant $K$-user interference channels, the naive vector-space approaches of interference management seem insufficient to achieve the optimal DoF of this channel. In this paper, we use the Number-Theory approach of alignment, recently developed by Motahari et al.[1]. We extend the approach of [1] to complex channels as well, therefore all the results that we present are valid for both real and complex channels.

Connected through hyperedge HE-1 (induced by source paper "optimality of simple layered superposition coding in the 3 user miso bc with finite precision csit"):
  with members:
    - "towards an extremal network theory robust gdof gain of transmitter cooperation over tin"
    - "k user symmetric m times n mimo interference channel under finite precision csit a gdof perspective"
    - "sum set inequalities from aligned image sets instruments for robust gdof bounds"
    - "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"
    - "achievable dof regions of mimo networks with imperfect csit"
    - "gdof of the k user symmetric miso bc bridging the gap between finite precision and perfect csit"
    - "generalized degrees of freedom of the symmetric k user interference channel under finite precision csit"

Connected through hyperedge HE-2 (induced by source paper "degrees of freedom of cache aided wireless interference networks"):
  with members:
    - "the exact rate memory tradeoff for caching with uncoded prefetching"
    - "fog aided wireless networks for content delivery fundamental latency tradeoffs"
    - "fundamental tradeoff between storage and latency in cache aided wireless interference networks"
    - "interference networks with caches at both ends"
    - "fundamental limits of cache aided interference management"
    - "wireless device to device caching networks basic principles and system performance"
    - "cooperative tx rx caching in interference channels a storage latency tradeoff study"
    - "cloud and cache aided wireless networks fundamental latency trade offs"

Connected through hyperedge HE-3 (induced by source paper "the wiretapped diamond relay channel"):
  with members:
    - "secure degrees of freedom of one hop wireless networks with no eavesdropper csit"
    - "capacity bounds for diamond networks with an orthogonal broadcast channel"
    - "secure degrees of freedom of the gaussian diamond wiretap channel"
    - "secure degrees of freedom of one hop wireless networks"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "aligned image sets under channel uncertainty settling a conjecture by lapidoth shamai and wigger on the collapse of degrees of freedom under finite precision csit"
    - "secure degrees of freedom of the gaussian wiretap channel with helpers and no eavesdropper csi blind cooperative jamming"
    - "achievability proof via output statistics of random binning"

Connected through hyperedge HE-4 (induced by source paper "secure degrees of freedom for the mimo wire tap channel with a multi antenna cooperative jammer"):
  with members:
    - "secure degrees of freedom of one hop wireless networks with no eavesdropper csit"
    - "secure degrees of freedom regions of multiple access and interference channels the polytope structure"
    - "secure degrees of freedom of one hop wireless networks"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "secure degrees of freedom of k user gaussian interference channels a unified view"
    - "interference assisted secret communication"
    - "strong secrecy from channel resolvability"
    - "cooperation with an untrusted relay a secrecy perspective"

Connected through hyperedge HE-5 (induced by source paper "secure degrees of freedom of the gaussian diamond wiretap channel"):
  with members:
    - "secure degrees of freedom of one hop wireless networks with no eavesdropper csit"
    - "an upper bound on the sum capacity of the downlink multicell processing with finite backhaul capacity"
    - "capacity bounds for diamond networks with an orthogonal broadcast channel"
    - "secure degrees of freedom of one hop wireless networks"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "aligned image sets under channel uncertainty settling a conjecture by lapidoth shamai and wigger on the collapse of degrees of freedom under finite precision csit"
    - "secure degrees of freedom of k user gaussian interference channels a unified view"
    - "achievability proof via output statistics of random binning"

Connected through hyperedge HE-6 (induced by source paper "real interference alignment exploiting the potential of single antenna systems"):
  with members:
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "wireless network information flow a deterministic approach"
    - "interference alignment for secrecy"
    - "the degrees of freedom of compute and forward"
    - "interference alignment from degrees of freedom to constant gap capacity approximations"
    - "interference alignment for the k user mimo interference channel"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "real interference alignment with real numbers"

Connected through hyperedge HE-7 (induced by source paper "on the vector broadcast channel with alternating csit a topological perspective"):
  with members:
    - "capacity results for binary fading interference channels with delayed csit"
    - "topological interference management through index coding"
    - "the degrees of freedom region of temporally correlated mimo networks with delayed csit"
    - "symmetric two user mimo bc and ic with evolving feedback"
    - "imperfect and unmatched csit is still useful for the frequency correlated miso broadcast channel"
    - "degrees of freedom of time correlated miso broadcast channel with delayed csit"
    - "on the fundamental feedback vs performance tradeoff over the miso bc with imperfect and delayed csit"
    - "degrees of freedom region of the miso broadcast channel with general mixed csit"

Connected through hyperedge HE-8 (induced by source paper "on the optimality of treating interference as noise compound interference networks"):
  with members:
    - "on the optimality of treating interference as noise a combinatorial optimization perspective"
    - "on the optimality of treating interference as noise general message sets"
    - "on the optimality of treating interference as noise"
    - "index coding an interference alignment perspective"
    - "achievable and crystallized rate regions of the interference channel with interference as noise"
    - "wireless network information flow a deterministic approach"
    - "capacity regions and sum rate capacities of vector gaussian interference channels"
    - "a new outer bound and the noisy interference sum rate capacity for gaussian interference channels"

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)