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 feasibility of precoding based network alignment for three unicast sessions"
  Abstract: We consider the problem of network coding across three unicast sessions over a directed acyclic graph, when each session has min-cut one. Previous work by Das et al. adapted a precoding-based interference alignment technique, originally developed for the wireless interference channel, specifically to this problem. We refer to this approach as precoding-based network alignment (PBNA). Similar to the wireless setting, PBNA asymptotically achieves half the minimum cut; different from the wireless setting, its feasibility depends on the graph structure. Das et al. provided a set of feasibility conditions for PBNA with respect to a particular precoding matrix. However, the set consisted of an infinite number of conditions, which is impossible to check in practice. Furthermore, the conditions were purely algebraic, without interpretation with regards to the graph structure. In this paper, we first prove that the set of conditions provided by Das. et al are also necessary for the feasibility of PBNA with respect to any precoding matrix. Then, using two graph-related properties and a degree-counting technique, we reduce the set to just four conditions. This reduction enables an efficient algorithm for checking the feasibility of PBNA on a given graph.

Connected through hyperedge HE-1 (induced by source paper "multi server coded caching"):
  with members:
    - "fundamental limits of cache aided interference management"
    - "coded caching for delay sensitive content"
    - "precoding based network alignment for three unicast sessions"
    - "decentralized coded caching attains order optimal memory rate tradeoff"
    - "fundamental limits of caching"
    - "coding for linear operator channels over finite fields"
    - "network coding for multiple unicasts an interference alignment approach"
    - "communication over finite field matrix channels"

Connected through hyperedge HE-2 (induced by source paper "on approximating the sum rate for multiple unicasts"):
  with members:
    - "bounding multiple unicasts through index coding and locally repairable codes"
    - "an equivalence between network coding and index coding"
    - "index coding an interference alignment perspective"
    - "network coding capacity a functional dependence bound"
    - "on the index coding problem and its relation to network coding and matroid theory"

Connected through hyperedge HE-3 (induced by source paper "linear network coding for multiple groupcast sessions an interference alignment approach"):
  with members:
    - "topological interference management through index coding"
    - "index coding an interference alignment perspective"
    - "network coding for multiple unicasts an interference alignment approach"
    - "coding for errors and erasures in random network coding"
    - "interference alignment and the degrees of freedom for the k user interference channel"

Connected through hyperedge HE-4 (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"
    - "a feasibility test for linear interference alignment in mimo channels with constant coefficients"
    - "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-5 (induced by source paper "precoding based network alignment for three unicast sessions"):
  with members:
    - "graph theoretic characterization of the feasibility of the precoding based 3 unicast interference alignment scheme"
    - "two unicast information flows over linear deterministic networks"
    - "the approximate capacity of the many to one and one to many gaussian interference channels"
    - "exploiting channel correlations simple interference alignment schemes with no csit"
    - "network coding for multiple unicasts an interference alignment approach"
    - "ergodic interference alignment"
    - "interference alignment with asymmetric complex signaling settling the host madsen nosratinia conjecture"
    - "coding for errors and erasures in random network coding"

Connected through hyperedge HE-6 (induced by source paper "precoding based network alignment using transform approach for acyclic networks with delay"):
  with members:
    - "precoding based network alignment for three unicast sessions"
    - "on network coding for acyclic networks with delays"
    - "network coding for multiple unicasts an interference alignment approach"
    - "interference alignment and the degrees of freedom for the k user interference channel"

Connected through hyperedge HE-7 (induced by source paper "graph theoretic characterization of the feasibility of the precoding based 3 unicast interference alignment scheme"):
  with members:
    - "on the relation between the index coding and the network coding problems"

Connected through hyperedge HE-8 (induced by source paper "index coding an interference alignment perspective"):
  with members:
    - "on the impact of a single edge on the network coding capacity"
    - "topological interference management through index coding"
    - "an equivalence between network coding and index coding"
    - "optimal index codes for a class of multicast networks with receiver side information"
    - "elements of cellular blind interference alignment aligned frequency reuse wireless index coding and interference diversity"
    - "optimal index codes with near extreme rates"
    - "on linear index coding for random graphs"
    - "network coding is zero error always possible"

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)