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 "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"):
  Abstract: We show that the 3 user M_T x M_R MIMO interference channel has d(M,N)=min(M/(2-1/k),N/(2+1/k)) degrees of freedom (DoF) normalized by time, frequency, and space dimensions, where M=min(M_T,M_R), N=max(M_T,M_R), k=ceil{M/(N-M)}. While the DoF outer bound is established for every M_T, M_R value, the achievability is established in general subject to normalization with respect to spatial-extensions. Given spatial-extensions, the achievability relies only on linear beamforming based interference alignment schemes with no need for time/frequency extensions. In the absence of spatial extensions, we show through examples how essentially the same scheme may be applied over time/frequency extensions. The central new insight to emerge from this work is the notion of subspace alignment chains as DoF bottlenecks. #R##N#The DoF value d(M,N) is a piecewise linear function of M,N, with either M or N being the bottleneck within each linear segment. The corner points of these piecewise linear segments correspond to A={1/2,2/3,3/4,...} and B={1/3,3/5,5/7,...}. The set A contains all values of M/N and only those for which there is redundancy in both M and N. The set B contains all values of M/N and only those for which there is no redundancy in either M or N. #R##N#Our results settle the feasibility of linear interference alignment, introduced by Cenk et al., for the 3 user M_T x M_R MIMO interference channel, completely for all values of M_T, M_R. Specifically, the linear interference alignment problem (M_T x M_R, d)^3 (as defined in previous work by Cenk et al.) is feasible if and only if d<=floor{d(M,N)}. With and only with the exception of the values M/N\in B, we show that for every M/N value there are proper systems that are not feasible. #R##N#Our results show that M/N\in A are the only values for which there is no DoF benefit of joint processing among co-located antennas at the transmitters or receivers.

Includes members:
  Member "real interference alignment exploiting the potential of single antenna systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "multi antenna coded content delivery with caching a low complexity solution")
  Member "on the degrees of freedom achievable through interference alignment in a mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-2 (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-3 (induced by source paper "generalized interference alignment part i theoretical framework")
  Member "two unicast wireless networks characterizing the degrees of freedom":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "two hop interference channels impact of linear time varying schemes")
  Member "a new achievable dof region for the 3 user mxn symmetric interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "feasibility of interference alignment for the mimo interference channel")
  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 "retrospective interference alignment":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "throughput region of spatially correlated interference packet networks")
  Member "interference alignment for the k user mimo interference channel":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "achievable dof delay trade offs for the k user mimo interference channel with delayed 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)