human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "mimo multiway relaying with pairwise data exchange a degrees of freedom perspective"):
  Abstract: In this paper, we study achievable degrees of freedom (DoF) of a multiple-input multiple-output (MIMO) multiway relay channel (mRC) where K users, each equipped with M antennas, exchange messages in a pairwise manner via a common N-antenna relay node. A novel and systematic way of joint beamforming design at the users and at the relay is proposed to align signals for efficient implementation of physical-layer network coding (PNC). It is shown that, when the user number K=3, the proposed beamforming design can achieve the DoF capacity of the considered mRC for any (M,N) setups. For the scenarios with K > 3, we show that the proposed signaling scheme can be improved by disabling a portion of relay antennas so as to align signals more efficiently. Our analysis reveals that the obtained achievable DoF is always piecewise linear, and is bounded either by the number of user antennas M or by the number of relay antennas N. Further, we show that the DoF capacity can be achieved for#N# M#N#/N ∈ (0,[(K-1)/(K(K-2))] and#N# M#N#/N ∈ [1/(K(K-1))]+#N# 1#N#/2,∞), which provides a broader range of the DoF capacity than the existing results. Asymptotic DoF as K→∞ is also derived based on the proposed signaling scheme.

Includes members:
  Member "mimo multiway relaying with clustered full data exchange signal space alignment and degrees of freedom":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimal dof region for the asymmetric two pair mimo two way relay channel")
  Member "beyond one way communication degrees of freedom of multi way relay mimo interference networks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "degrees of freedom of the mimo three way channel with node intermittency")
  Member "approximate sum capacity of the y channel":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "optimal dof region for the asymmetric two pair mimo two way relay channel")
  Member "degrees of freedom for the mimo multi way relay channel":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "degrees of freedom of the mimo three way channel with node intermittency")
  Member "the degrees of freedom of the mimo y channel":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "optimal dof region for the asymmetric two pair mimo two way relay channel")
  Member "multiple input multiple output two way relaying a space division approach":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "passive beamforming and information transfer design for reconfigurable intelligent surfaces aided multiuser mimo systems")
  Member "subspace alignment chains and the degrees of freedom of the three user mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on the degrees of freedom of the miso interference broadcast channel with delayed csit")
  Member "optimal beamforming for two way multi antenna relay channel with analogue network coding":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "optimization of a power splitting protocol for two way multiple energy harvesting relay system")

Question: Please tell me which class the source paper 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)