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 "the multi way relay channel"):
  Abstract: The multiuser communication channel, in which multiple users exchange information with the help of a relay terminal, termed the multi-way relay channel (mRC), is introduced. In this model, multiple interfering clusters of users communicate simultaneously, where the users within the same cluster wish to exchange messages among themselves. It is assumed that the users cannot receive each other's signals directly, and hence the relay terminal in this model is the enabler of communication. In particular, restricted encoders, which ignore the received channel output and use only the corresponding messages for generating the channel input, are considered. Achievable rate regions and an outer bound are characterized for the Gaussian mRC, and their comparison is presented in terms of exchange rates in a symmetric Gaussian network scenario. It is shown that the compress-and-forward (CF) protocol achieves exchange rates within a constant bit offset of the exchange capacity independent of the power constraints of the terminals in the network. A finite bit gap between the exchange rates achieved by the CF and the amplify-and-forward (AF) protocols is also shown. The two special cases of the mRC, the full data exchange model, in which every user wants to receive messages of all other users, and the pairwise data exchange model which consists of multiple two-way relay channels, are investigated in detail. In particular for the pairwise data exchange model, in addition to the proposed random coding based achievable schemes, a nested lattice coding based scheme is also presented and is shown to achieve exchange rates within a constant bit gap of the exchange capacity.

Includes members:
  Member "divide and conquer approaching the capacity of the two pair bidirectional gaussian relay network":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "degrees of freedom of the mimo three way channel with node intermittency")
  Member "the gaussian interference relay channel improved achievable rates and sum rate upperbounds using a potent relay":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "approximate capacity of fast fading interference channels with no instantaneous csit")
  Member "wyner ziv coding over broadcast channels digital schemes":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "noisy broadcast networks with receiver caching")
  Member "multiple multicasts with the help of a relay":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "half duplex relaying for the multiuser channel")
  Member "broadcast capacity region of two phase bidirectional relaying":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the dof of two way 2 2 2 relay networks with or without relay caching")
  Member "joint physical layer coding and network coding for bi directional relaying":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "compute and forward relaying with ldpc codes over qpsk scheme")
  Member "the case for structured random codes in network capacity theorems":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "lattice codes achieve the capacity of common message gaussian broadcast channels with coded side information")

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)