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: "on the degrees of freedom of the k user gaussian interference channel"
  Abstract: The degrees-of-freedom of a K-user Gaussian interference channel (GIFC) has been defined to be the multiple of (1/2)log_2(P) at which the maximum sum of achievable rates grows with increasing P. In this paper, we establish that the degrees-of-freedom of three or more user, real, scalar GIFCs, viewed as a function of the channel coefficients, is discontinuous at points where all of the coefficients are non-zero rational numbers. More specifically, for all K>2, we find a class of K-user GIFCs that is dense in the GIFC parameter space for which K/2 degrees-of-freedom are exactly achievable, and we show that the degrees-of-freedom for any GIFC with non-zero rational coefficients is strictly smaller than K/2. These results are proved using new connections with number theory and additive combinatorics.

Connected through hyperedge HE-1 (induced by source paper "real interference alignment exploiting the potential of single antenna systems"):
  with members:
    - "the approximate sum capacity of the symmetric gaussian k user interference channel"
    - "wireless network information flow a deterministic approach"
    - "interference alignment for secrecy"
    - "the degrees of freedom of compute and forward"
    - "interference alignment from degrees of freedom to constant gap capacity approximations"
    - "interference alignment for the k user mimo interference channel"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "on the degrees of freedom of the compound mimo broadcast channels with finite states"

Connected through hyperedge HE-2 (induced by source paper "layered interference alignment achieving the total dof of mimo x channels"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "precoded integer forcing universally achieves the mimo capacity to within a constant gap"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "degrees of freedom of wireless x networks"
    - "interference alignment and the degrees of freedom for the k user interference channel"

Connected through hyperedge HE-3 (induced by source paper "capacity of multiple unicast in wireless networks a polymatroidal approach"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "multiuser broadcast erasure channel with feedback capacity and algorithms"
    - "degrees of freedom of interference channels with comp transmission and reception"
    - "multicommodity flows and cuts in polymatroidal networks"
    - "wireless network information flow a deterministic approach"
    - "computation alignment capacity approximation without noise accumulation"
    - "the degrees of freedom of the 2 hop 2 user interference channel with feedback"
    - "a digital interface for gaussian relay and interference networks lifting codes from the discrete superposition model"

Connected through hyperedge HE-4 (induced by source paper "a new sum rate outer bound for interference channels with three source destination pairs"):
  with members:
    - "on achievability of gaussian interference channel capacity to within one bit"
    - "interference channels with source cooperation"
    - "k user interference channels general outer bound and sum capacity for certain gaussian channels"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "sum capacity of k user gaussian degraded interference channels"
    - "outer bounds for the interference channel with a cognitive relay"
    - "interference channel with generalized feedback a k a with source cooperation part i achievable region"
    - "lecture notes on network information theory"

Connected through hyperedge HE-5 (induced by source paper "k user interference channels general outer bound and sum capacity for certain gaussian channels"):
  with members:
    - "a new sum rate outer bound for interference channels with three source destination pairs"
    - "interference channels with source cooperation"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "sum capacity of k user gaussian degraded interference channels"
    - "outer bounds for the interference channel with a cognitive relay"
    - "new inner and outer bounds for the discrete memoryless cognitive interference channel and some capacity results"
    - "the capacity region of the 3 user gaussian interference channel with mixed strong very strong interference"
    - "on the sum capacity of a class of cyclically symmetric deterministic interference channels"

Connected through hyperedge HE-6 (induced by source paper "interference decoding for deterministic channels"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "lecture notes on network information theory"
    - "on the sum capacity of a class of cyclically symmetric deterministic interference channels"
    - "capacity of a class of symmetric simo gaussian interference channels within o 1"
    - "compute and forward harnessing interference through structured codes"
    - "the two user gaussian interference channel a deterministic view"
    - "generalized degrees of freedom of the symmetric gaussian k user interference channel"

Connected through hyperedge HE-7 (induced by source paper "achievable rates for k user gaussian interference channels"):
  with members:
    - "real interference alignment"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "a new outer bound and the noisy interference sum rate capacity for gaussian interference channels"
    - "compute and forward harnessing interference through structured codes"
    - "capacity bounds for the gaussian interference channel"
    - "a layered lattice coding scheme for a class of three user gaussian interference channels"
    - "capacity of symmetric k user gaussian very strong interference channels"
    - "interference alignment on the deterministic channel and application to fully connected awgn interference networks"

Connected through hyperedge HE-8 (induced by source paper "interference alignment at finite snr for time invariant channels"):
  with members:
    - "real interference alignment exploiting the potential of single antenna systems"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "lattice strategies for the dirty multiple access channel"
    - "ergodic interference alignment"
    - "a layered lattice coding scheme for a class of three user gaussian interference channels"
    - "capacity of symmetric k user gaussian very strong interference channels"
    - "gaussian interference channel capacity to within one bit"

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)