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 "degrees of freedom for mimo two way x relay channel"):
  Abstract: We study the degrees of freedom (DOF) of a multiple-input multiple-output (MIMO) two-way X relay channel, where there are two groups of source nodes and one relay node, each equipped with multiple antennas, and each of the two source nodes in one group exchanges independent messages with the two source nodes in the other group via the relay node. It is assumed that every source node is equipped with   $M$    antennas while the relay is equipped with    $N$   antennas. We first show that the upper bound on the total DOF for this network is    $2\min\{2M, N\}$   and then focus on the case of   $N\leq 2M$    so that the DOF is upper bounded by twice the number of antennas at the relay. By applying signal alignment for network coding and joint transceiver design for interference cancellation, we show that this upper bound can be achieved when   $N\leq\lfloor{8M\over 5}\rfloor$  . We also show that with signal alignment only but no joint transceiver design, the upper bound is achievable when    $N\leq\lfloor{4M\over 3}\rfloor$  . Simulation results are provided to corroborate the theoretical results and to demonstrate the performance of the proposed scheme in the finite signal-to-noise ratio regime.

Includes members:
  Member "linear precoding designs for amplify and forward multiuser two way relay systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a survey on mimo transmission with discrete input signals technical challenges advances and future trends")
  Member "the ergodic capacity of phase fading interference networks":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on cooperation and interference in the weak interference regime full version with detailed proofs")
  Member "an optimal coding strategy for the binary multi way relay channel":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "maximizing data rate for multiway relay channels with pairwise transmission strategy")
  Member "the multi way relay channel":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "multi agent reinforcement learning for energy harvesting two hop communications with full cooperation")
  Member "physical layer network coding":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "implementation of uplink network coded modulation for two hop networks")
  Member "interference alignment and the degrees of freedom for the k user interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on off switched interference alignment for diversity multiplexing tradeoff improvement in the 2 user x network with two antennas")

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)