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: "interference alignment and the degrees of freedom for the k user interference channel"
  Abstract: While the best known outerbound for the K user interference channel states that there cannot be more than K/2 degrees of freedom, it has been conjectured that in general the constant interference channel with any number of users has only one degree of freedom. In this paper, we explore the spatial degrees of freedom per orthogonal time and frequency dimension for the K user wireless interference channel where the channel coefficients take distinct values across frequency slots but are fixed in time. We answer five closely related questions. First, we show that K/2 degrees of freedom can be achieved by channel design, i.e. if the nodes are allowed to choose the best constant, finite and nonzero channel coefficient values. Second, we show that if channel coefficients can not be controlled by the nodes but are selected by nature, i.e., randomly drawn from a continuous distribution, the total number of spatial degrees of freedom for the K user interference channel is almost surely K/2 per orthogonal time and frequency dimension. Thus, only half the spatial degrees of freedom are lost due to distributed processing of transmitted and received signals on the interference channel. Third, we show that interference alignment and zero forcing suffice to achieve all the degrees of freedom in all cases. Fourth, we show that the degrees of freedom $D$ directly lead to an $\mathcal{O}(1)$ capacity characterization of the form $C(SNR)=D\log(1+SNR)+\mathcal{O}(1)$ for the multiple access channel, the broadcast channel, the 2 user interference channel, the 2 user MIMO X channel and the 3 user interference channel with M>1 antennas at each node. Fifth, we characterize the degree of freedom benefits from cognitive sharing of messages on the 3 user interference channel.

Connected through hyperedge HE-1 (induced by source paper "on off switched interference alignment for diversity multiplexing tradeoff improvement in the 2 user x network with two antennas"):
  with members:
    - "advanced coordinated beamforming for the downlink of future lte cellular networks"
    - "interference aligned space time transmission with diversity for the 2 times 2 x network"
    - "interference alignment with diversity for the 2 times 2 x network with four antennas"
    - "maximum rate transmission with improved diversity gain for interference networks"
    - "secure degrees of freedom of mimo x channels with output feedback and delayed csit"
    - "simultaneous nonunique decoding is rate optimal"

Connected through hyperedge HE-2 (induced by source paper "expanding the compute and forward framework unequal powers signal levels and multiple linear combinations"):
  with members:
    - "an achievable rate region for the three user interference channel based on coset codes"
    - "a joint typicality approach to algebraic network information theory"
    - "secure compute and forward in a bidirectional relay"
    - "secure degrees of freedom of one hop wireless networks"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "multiple access via compute and forward"
    - "lattices over eisenstein integers for compute and forward"
    - "uplink downlink duality for integer forcing"

Connected through hyperedge HE-3 (induced by source paper "three way channels with multiple unicast sessions capacity approximation via network transformation"):
  with members:
    - "device relaying in cellular d2d networks a fairness perspective"
    - "a survey on device to device communication in cellular networks"
    - "mimo multiway relaying with pairwise data exchange a degrees of freedom perspective"
    - "the degrees of freedom of multi way device to device communications is limited by 2"
    - "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"
    - "in band full duplex wireless challenges and opportunities"

Connected through hyperedge HE-4 (induced by source paper "on communication through a gaussian channel with an mmse disturbance constraint"):
  with members:
    - "interference as noise friend or foe"
    - "on the two user interference channel with lack of knowledge of the interference codebook at one receiver"
    - "soft decoding based strategies for relay and interference channels analysis and achievable rates using ldpc codes"
    - "analysis of mismatched estimation errors using gradients of partition functions"
    - "mmse of bad codes"
    - "statistical physics of signal estimation in gaussian noise theory and examples of phase transitions"
    - "estimation in gaussian noise properties of the minimum mean square error"
    - "a new outer bound and the noisy interference sum rate capacity for gaussian interference channels"

Connected through hyperedge HE-5 (induced by source paper "symbol level multiuser miso precoding for multi level adaptive modulation a multicast view"):
  with members:
    - "energy efficient symbol level precoding in multiuser miso based on relaxed detection region"
    - "constructive interference through symbol level precoding for multi level modulation"
    - "constructive multiuser interference in symbol level precoding for the miso downlink channel"
    - "energy efficient symbol level precoding in multiuser miso channels"
    - "exploiting known interference as green signal power for downlink beamforming optimization"
    - "multicast multigroup precoding and user scheduling for frame based satellite communications"
    - "optimal multiuser transmit beamforming a difficult problem with a simple solution structure"
    - "a multicast approach for constructive interference precoding in miso downlink channel"

Connected through hyperedge HE-6 (induced by source paper "multi user cognitive interference channels a survey and new capacity results"):
  with members:
    - "the two user causal cognitive interference channel novel outer bounds and constant gap result for the symmetric gaussian noise channel in weak interference"
    - "on the capacity region of the two user interference channel with a cognitive relay"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "on the capacity of the two user gaussian causal cognitive interference channel"
    - "on the gaussian interference channel with half duplex causal cognition"
    - "multiuser cognitive radio networks an information theoretic perspective"
    - "approximate sum capacity of k user cognitive interference channels with cumulative message sharing"
    - "simultaneous nonunique decoding is rate optimal"

Connected through hyperedge HE-7 (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-8 (induced by source paper "interference as noise friend or foe"):
  with members:
    - "on the two user interference channel with lack of knowledge of the interference codebook at one receiver"
    - "real interference alignment exploiting the potential of single antenna systems"
    - "on discrete alphabets for the two user gaussian interference channel with one receiver lacking knowledge of the interfering codebook"
    - "soft decoding based strategies for relay and interference channels analysis and achievable rates using ldpc codes"
    - "approximate sum capacity of k user cognitive interference channels with cumulative message sharing"
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "wireless network information flow a deterministic approach"
    - "interference alignment from degrees of freedom to constant gap capacity approximations"

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)