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: "joint physical layer coding and network coding for bi directional relaying"
  Abstract: We consider the problem of two transmitters wishing to exchange information through a relay in the middle. The channels between the transmitters and the relay are assumed to be synchronized, average power constrained additive white Gaussian noise channels with a real input with signal-to-noise ratio (SNR) of snr. An upper bound on the capacity is 1/2 log(1+ snr) bits per transmitter per use of the medium-access phase and broadcast phase of the bi-directional relay channel. We show that using lattice codes and lattice decoding, we can obtain a rate of 1/2 log(0.5 + snr) bits per transmitter, which is essentially optimal at high SNRs. The main idea is to decode the sum of the codewords modulo a lattice at the relay followed by a broadcast phase which performs Slepian-Wolf coding with structured codes. For asymptotically low SNR's, jointly decoding the two transmissions at the relay (MAC channel) is shown to be optimal. We also show that if the two transmitters use identical lattices with minimum angle decoding, we can achieve the same rate of 1/2 log(0.5 + snr). The proposed scheme can be thought of as a joint physical layer, network layer code which outperforms other recently proposed analog network coding schemes.

Connected through hyperedge HE-1 (induced by source paper "compute and forward relaying with ldpc codes over qpsk scheme"):
  with members:
    - "asymptotic analysis on spatial coupling coding for two way relay channels"
    - "physical layer network coding a random coding error exponent perspective"
    - "expanding the compute and forward framework unequal powers signal levels and multiple linear combinations"
    - "network coded multiple access"
    - "universal codes for the gaussian mac via spatial coupling"
    - "compute and forward harnessing interference through structured codes"

Connected through hyperedge HE-2 (induced by source paper "asymptotic analysis on spatial coupling coding for two way relay channels"):
  with members:
    - "physical layer network coding a random coding error exponent perspective"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "threshold saturation via spatial coupling why convolutional ldpc ensembles perform so well over the bec"
    - "channel coding and decoding in a relay system operated with physical layer network coding"
    - "compute and forward harnessing interference through structured codes"
    - "density evolution for asymmetric memoryless channels"

Connected through hyperedge HE-3 (induced by source paper "cyclic communication and the inseparability of mimo multi way relay channels"):
  with members:
    - "spectral and energy efficiency in 3 way relay channels with circular message exchanges"
    - "simultaneous diagonalization on the dof region of the k user mimo multi way relay channel"
    - "beyond one way communication degrees of freedom of multi way relay mimo interference networks"
    - "approximate sum capacity of the y channel"
    - "degrees of freedom for the mimo multi way relay channel"
    - "the deterministic multicast capacity of 4 node relay networks"
    - "the degrees of freedom of the mimo y channel"
    - "optimal transmit power allocation for mimo two way cognitive relay networks with multiple relays"

Connected through hyperedge HE-4 (induced by source paper "qos guaranteed energy minimization over two way relaying networks"):
  with members:
    - "reliable physical layer network coding"

Connected through hyperedge HE-5 (induced by source paper "multistage compute and forward with multilevel lattice codes based on product constructions"):
  with members:
    - "lattices over eisenstein integers for compute and forward"
    - "structured lattice codes for some two user gaussian networks with cognition coordination and two hops"
    - "multilevel coding schemes for compute and forward with flexible decoding"
    - "connections between construction d and related constructions of lattices"
    - "an algebraic approach to physical layer network coding"
    - "a proof of threshold saturation for spatially coupled ldpc codes on bms channels"
    - "spatially coupled ensembles universally achieve capacity under belief propagation"
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"

Connected through hyperedge HE-6 (induced by source paper "phase precoding for the compute and forward protocol"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "phase precoded compute and forward with partial feedback"
    - "lattices over eisenstein integers for compute and forward"
    - "an algebraic approach to physical layer network coding"
    - "on complex lll algorithm for integer forcing linear receivers"
    - "compute and forward strategies for cooperative distributed antenna systems"
    - "computation alignment capacity approximation without noise accumulation"
    - "physical layer network coding tutorial survey and beyond"

Connected through hyperedge HE-7 (induced by source paper "soft decoding based strategies for relay and interference channels analysis and achievable rates using ldpc codes"):
  with members:
    - "on the performance of low density parity check codes for gaussian interference channels"
    - "mmse of bad codes"
    - "statistical physics of signal estimation in gaussian noise theory and examples of phase transitions"
    - "a theory of network equivalence parts i and ii"
    - "compute and forward harnessing interference through structured codes"
    - "gaussian interference channel capacity to within one bit"
    - "network coding over a noisy relay a belief propagation approach"
    - "the generalized area theorem and some of its consequences"

Connected through hyperedge HE-8 (induced by source paper "compute and forward finding the best equation"):
  with members:
    - "simplified compute and forward and its performance analysis"
    - "finding short vectors in a lattice of voronoi s first kind"
    - "linear time nearest point algorithms for coxeter lattices"
    - "enumerative lattice algorithms in any norm via m ellipsoid coverings"
    - "compute and forward harnessing interference through structured codes"

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)