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 sum capacity of the y channel"
  Abstract: A network where three users communicate with each other via a relay is considered. Users do not receive other users' signals via a direct link, and thus the relay is essential for their communication. Each user is assumed to have an individual message to be delivered to each other user. Thus, each user wants to send two messages and to decode two messages. In general, the transmit signals of different nodes can be dependent since they can depend on previously received symbols. We call this case the general case. The sum-capacity is studied, and upper bounds and lower bounds are given. If all nodes have the same power, the sum-capacity is characterized to within a gap of 5/2 bits or a factor of 3 for all values of channel coefficients. This gap is also shown to approach 3/2 bits as the transmit power increases. Moreover, for the symmetric case with equal channel coefficients, the gap is shown to be less than 1 bit. The restricted case is also considered where the transmit signal does not depend on previously received symbols. In this case, the sum-capacity is characterized to within a gap of 2 bits or a factor of 3 for all values of channel coefficients, and approaches 1 bit as the transmit power increases.

Connected through hyperedge HE-1 (induced by source paper "space time physical layer network coding"):
  with members:
    - "distributed space time interference alignment with moderately delayed csit"
    - "topological interference management through index coding"
    - "degrees of freedom for the mimo multi way relay channel"
    - "guiding blind transmitters degrees of freedom optimal interference alignment using relays"
    - "the degrees of freedom of the mimo y channel"
    - "degrees of freedom of time correlated miso broadcast channel with delayed csit"
    - "two way interference channels"
    - "optimal use of current and outdated channel state information degrees of freedom of the miso bc with mixed csit"

Connected through hyperedge HE-2 (induced by source paper "approximate sum capacity of the y channel"):
  with members:
    - "degrees of freedom of two hop wireless networks everyone gets the entire cake"
    - "divide and conquer approaching the capacity of the two pair bidirectional gaussian relay network"
    - "on the equal rate capacity of the awgn multiway relay channel"
    - "wireless network information flow a deterministic approach"
    - "the capacity region of the linear shift deterministic y channel"
    - "the multi way relay channel"
    - "bidirectional multi pair network with a mimo relay beamforming strategies and lack of duality"
    - "capacity region of the deterministic multi pair bi directional relay network"

Connected through hyperedge HE-3 (induced by source paper "the approximate capacity region of the gaussian y channel"):
  with members:
    - "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"
    - "divide and conquer approaching the capacity of the two pair bidirectional gaussian relay network"
    - "signal space alignment for the gaussian y channel"
    - "the capacity region of the linear shift deterministic y channel"
    - "the multi way relay channel"
    - "capacity theorems for the awgn multi way relay channel"

Connected through hyperedge HE-4 (induced by source paper "multi way information exchange over completely connected interference networks with a multi antenna relay"):
  with members:
    - "two way interference channels"
    - "degrees of freedom of two hop wireless networks everyone gets the entire cake"
    - "divide and conquer approaching the capacity of the two pair bidirectional gaussian relay network"
    - "outer bounds for the capacity region of a gaussian two way relay channel"
    - "index coding an interference alignment perspective"
    - "not too delayed csit achieves the optimal degrees of freedom"
    - "the capacity region of multiway relay channels over finite fields with full data exchange"
    - "multiple unicast capacity of 2 source 2 sink networks"

Connected through hyperedge HE-5 (induced by source paper "degrees of freedom for the mimo multi way relay channel"):
  with members:
    - "divide and conquer approaching the capacity of the two pair bidirectional gaussian relay network"
    - "on the equal rate capacity of the awgn multiway relay channel"
    - "the capacity region of multiway relay channels over finite fields with full data exchange"
    - "the capacity region of the linear shift deterministic y channel"
    - "the multi way relay channel"
    - "degrees of freedom of the k user m times n mimo interference channel"
    - "interference alignment and the degrees of freedom for the k user interference channel"

Connected through hyperedge HE-6 (induced by source paper "the degrees of freedom of the mimo y channel"):
  with members:
    - "lattice coding for the two way two relay channel"
    - "divide and conquer approaching the capacity of the two pair bidirectional gaussian relay network"
    - "the multi way relay channel"
    - "capacity theorems for the awgn multi way relay channel"
    - "bidirectional multi pair network with a mimo relay beamforming strategies and lack of duality"
    - "capacity of the gaussian two way relay channel to within 1 2 bit"
    - "broadcast capacity region of two phase bidirectional relaying"

Connected through hyperedge HE-7 (induced by source paper "signal space alignment for the gaussian y channel"):
  with members:
    - "the capacity region of the linear shift deterministic y channel"
    - "the multi way relay channel"
    - "capacity theorems for the awgn multi way relay channel"
    - "compute and forward harnessing interference through structured codes"
    - "joint physical layer coding and network coding for bi directional relaying"
    - "a deterministic approach to wireless relay networks"
    - "interference alignment and the degrees of freedom for the k user interference channel"

Connected through hyperedge HE-8 (induced by source paper "the capacity region of the linear shift deterministic y channel"):
  with members:
    - "the multi way relay channel"
    - "capacity region of the deterministic multi pair bi directional relay network"
    - "a deterministic approach to wireless relay networks"

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)