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: "path gain algebraic formulation for the scalar linear network coding problem"
  Abstract: In the algebraic view, the solution to a network coding problem is seen as a variety specified by a system of polynomial equations typically derived by using edge-to-edge gains as variables. The output from each sink is equated to its demand to obtain polynomial equations. In this paper, we propose a method to derive the polynomial equations using source-to-sink path gains as the variables. In the path gain formulation, we show that linear and quadratic equations suffice; therefore, network coding becomes equivalent to a system of polynomial equations of maximum degree 2. We present algorithms for generating the equations in the path gains and for converting path gain solutions to edge-to-edge gain solutions. Because of the low degree, simplification is readily possible for the system of equations obtained using path gains. Using small-sized network coding problems, we show that the path gain approach results in simpler equations and determines solvability of the problem in certain cases. On a larger network (with 87 nodes and 161 edges), we show how the path gain approach continues to provide deterministic solutions to some network coding problems.

Connected through hyperedge HE-1 (induced by source paper "a class of non linearly solvable networks"):
  with members:
    - "on the message dimensions of vector linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "multicast network coding and field sizes"
    - "linear network coding linear index coding and representable discrete polymatroids"
    - "on network coding for sum networks"
    - "lexicographic products and the power of non linear network coding"
    - "a simple necessary and sufficient condition for the double unicast problem"

Connected through hyperedge HE-2 (induced by source paper "linear network coding for two unicast z networks a commutative algebraic perspective and fundamental limits"):
  with members:
    - "alignment based network coding for two unicast z networks"
    - "the two unicast problem"
    - "topological interference management through index coding"
    - "fundamental limits of caching"
    - "an equivalence between network coding and index coding"
    - "locally repairable codes"
    - "two unicast information flows over linear deterministic networks"
    - "mission impossible computing the network coding capacity region"

Connected through hyperedge HE-3 (induced by source paper "constrained linear representability of polymatroids and algorithms for computing achievability proofs in network coding"):
  with members:
    - "on multi source networks enumeration rate region computation and hierarchy"
    - "mapping the region of entropic vectors with support enumeration information geometry"
    - "characterizing the rate region of the 4 3 3 exact repair regenerating codes"
    - "linear network coding linear index coding and representable discrete polymatroids"
    - "a projection method for derivation of non shannon type information inequalities"

Connected through hyperedge HE-4 (induced by source paper "scalable capacity bounding models for wireless networks"):
  with members:
    - "the likelihood encoder for lossy compression"
    - "a generalized typicality for abstract alphabets"
    - "distributed channel synthesis"
    - "capacity of multiple unicast in wireless networks a polymatroidal approach"
    - "wireless network information flow a deterministic approach"
    - "separation of source network coding and channel coding in wireline networks"
    - "optimality and approximate optimality of source channel separation in networks"
    - "a theory of network equivalence parts i and ii"

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)