human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "a feasibility test for linear interference alignment in mimo channels with constant coefficients"
  Abstract: In this paper, we consider the feasibility of linear interference alignment (IA) for multiple-input multiple-output (MIMO) channels with constant coefficients for any number of users, antennas and streams per user; and propose a polynomial-time test for this problem. Combining algebraic geometry techniques with differential topology ones, we first prove a result that generalizes those previously published on this topic. Specifically, we consider the input set (complex projective space of MIMO interference channels), the output set (precoder and decoder Grassmannians) and the solution set (channels, decoders and precoders satisfying the IA polynomial equations), not only as algebraic sets but also as smooth compact manifolds. Using this mathematical framework, we prove that the linear alignment problem is feasible when the algebraic dimension of the solution variety is larger than or equal to the dimension of the input space and the linear mapping between the tangent spaces of both smooth manifolds given by the first projection is generically surjective. If that mapping is not surjective, then the solution variety projects into the input space in a singular way and the projection is a zero-measure set. This result naturally yields a simple feasibility test, which amounts to checking the rank of a matrix. We also provide an exact arithmetic version of the test, which proves that testing the feasibility of IA for generic MIMO channels belongs to the bounded-error probabilistic polynomial (BPP) complexity class.

Connected through hyperedge HE-1 (induced by source paper "role of interference alignment in wireless cellular network optimization"):
  with members:
    - "joint beamforming and power control in coordinated multicell max min duality effective network and large system transition"
    - "multilevel topological interference management"
    - "on the feasibility of linear interference alignment for mimo interference broadcast channels with constant coefficients"
    - "genie chain and degrees of freedom of symmetric mimo interference broadcast channels"
    - "degrees of freedom of mimo cellular networks decomposition and linear beamforming design"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "degrees of freedom of mimo x networks spatial scale invariance one sided decomposability and linear feasibility"
    - "degrees of freedom of interference channels with comp transmission and reception"

Connected through hyperedge HE-2 (induced by source paper "generalized interference alignment part i theoretical framework"):
  with members:
    - "the feasibility conditions for interference alignment in mimo networks"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"
    - "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case"
    - "interference alignment for secrecy"
    - "cooperative algorithms for mimo interference channels"
    - "interference alignment as a rank constrained rank minimization"
    - "ergodic secret alignment"

Connected through hyperedge HE-3 (induced by source paper "genie chains exploring outer bounds on the degrees of freedom of mimo interference networks"):
  with members:
    - "feasibility of interference alignment for the mimo interference channel"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "degrees of freedom of mimo x networks spatial scale invariance one sided decomposability and linear feasibility"
    - "degrees of freedom of interference channels with comp transmission and reception"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"
    - "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case"
    - "geometry of the 3 user mimo interference channel"
    - "interference alignment for the k user mimo interference channel"

Connected through hyperedge HE-4 (induced by source paper "replication based outer bounds and the optimality of half the cake for rank deficient mimo interference networks"):
  with members:
    - "genie chains exploring outer bounds on the degrees of freedom of mimo interference networks"
    - "are generalized cut set bounds tight for the deterministic interference channel"
    - "degrees of freedom of the rank deficient interference channel with feedback"
    - "feasibility of interference alignment for the mimo interference channel"
    - "the dof of the asymmetric mimo interference channel with square direct link channel matrices"
    - "the feasibility conditions for interference alignment in mimo networks"
    - "genie tree and degrees of freedom of the symmetric mimo interfering broadcast channel"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"

Connected through hyperedge HE-5 (induced by source paper "feasibility of interference alignment for the mimo interference channel"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "on the number of interference alignment solutions for the k user mimo channel with constant coefficients"
    - "interference alignment using finite and dependent channel extensions the single beam case"
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "interactive interference alignment"
    - "degrees of freedom of interference channels with comp transmission and reception"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"

Connected through hyperedge HE-6 (induced by source paper "beyond one way communication degrees of freedom of multi way relay mimo interference networks"):
  with members:
    - "degrees of freedom for the mimo multi way relay channel"
    - "the degrees of freedom of the mimo y channel"
    - "degrees of freedom for mimo two way x relay channel"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "degrees of freedom of mimo x networks spatial scale invariance one sided decomposability and linear feasibility"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"
    - "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case"
    - "on feasibility of interference alignment in mimo interference networks"

Connected through hyperedge HE-7 (induced by source paper "on the capacity of the finite field counterparts of wireless interference networks"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "the feasibility conditions for interference alignment in mimo networks"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "on the feasibility of precoding based network alignment for three unicast sessions"
    - "degrees of freedom of mimo x networks spatial scale invariance one sided decomposability and linear feasibility"
    - "index coding an interference alignment perspective"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"
    - "settling the feasibility of interference alignment for the mimo interference channel the symmetric square case"

Connected through hyperedge HE-8 (induced by source paper "genie tree and degrees of freedom of the symmetric mimo interfering broadcast channel"):
  with members:
    - "genie chains exploring outer bounds on the degrees of freedom of mimo interference networks"
    - "feasibility of interference alignment for the mimo interference channel"
    - "the feasibility conditions for interference alignment in mimo networks"
    - "alternating rate profile optimization in single stream mimo interference channels"
    - "on the feasibility of linear interference alignment for mimo interference broadcast channels with constant coefficients"
    - "degrees of freedom of mimo cellular networks decomposition and linear beamforming design"
    - "on the degrees of freedom achievable through interference alignment in a mimo interference channel"
    - "subspace alignment chains and the degrees of freedom of the three user mimo interference channel"

Question: Please tell me which class the center node 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)