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 "genie chain and degrees of freedom of symmetric mimo interference broadcast channels"):
  Abstract: In this paper, we study the information theoretic degrees of freedom (DoF) for symmetric multi-input-multi-output interference broadcast channel (MIMO-IBC) with arbitrary configuration. We find the maximal DoF achieved by linear interference alignment (IA), and prove when linear IA can achieve the information theoretic maximal DoF. Specifically, we find that the information theoretic DoF can be divided into two regions according to the ratio of the number of antennas at each base station (BS) to that at each user. In Region I, the sum DoF of the system linearly increases with the number of cells, which can be achieved by asymptotic IA but not by linear IA, where infinite time/frequency extension is necessary. In Region II, the DoF is a piecewise linear function, depending on the number of antennas at each BS or that at each user alternately, which can be achieved by linear IA without the need of infinite time/frequency extension, and the sum DoF cannot exceed the sum number of antennas at each BS and each user. We propose and prove the information theoretic DoF upper-bound for general MIMO-IBC including the system settings in Regions I and II, by constructing a useful and smart genie chain. We prove the achievability of the upper-bound in Region II by proposing a unified way to design closed-form linear IA. From the proof we reveal when proper systems are feasible or infeasible and explain why. The approach of the proof can be extended to more general asymmetric MIMO-IBC.

Includes members:
  Member "alternating rate profile optimization in single stream mimo interference channels":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "multiuser wirelessly powered backscatter communications nonlinearity waveform design and sinr energy tradeoff")
  Member "on the feasibility of linear interference alignment for mimo interference broadcast channels with constant coefficients":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "role of interference alignment in wireless cellular network optimization")
  Member "on the degrees of freedom achievable through interference alignment in a mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "centralized and decentralized cache aided interference management in heterogeneous parallel channels")
  Member "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "generalized interference alignment part i theoretical framework")
  Member "spatial degrees of freedom of the multicell mimo multiple access channel":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "degrees of freedom and achievable rate of wide band multi cell multiple access channels with no csit")
  Member "geometry of the 3 user mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "genie chains exploring outer bounds on the degrees of freedom of mimo interference networks")
  Member "on feasibility of interference alignment in mimo interference networks":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "joint optimization of signal design and resource allocation in wireless d2d edge computing")
  Member "downlink interference alignment":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "optimality of treating inter cell interference as noise under finite precision csit")

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)