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: "multicast network coding and field sizes"
  Abstract: In an acyclic multicast network, it is well known that a linear network coding solution over GF(   $q$   ) exists when    $q$    is sufficiently large. In particular, for each prime power    $q$    no smaller than the number of receivers, a linear solution over GF(   $q$   ) can be efficiently constructed. In this paper, we reveal that a linear solution over a given finite field does not necessarily imply the existence of a linear solution over all larger finite fields. In particular, we prove by construction that: 1) for every    $\omega \geq 3$   , there is a multicast network with source outdegree    $\omega $    linearly solvable over GF(7) but not over GF(8), and another multicast network linearly solvable over GF(16) but not over GF(17); 2) there is a multicast network linearly solvable over GF(5) but not over such GF(   $q$   ) that    $q > 5$    is a Mersenne prime plus 1, which can be extremely large; 3) a multicast network linearly solvable over GF(   $q^{m_{1}}$   ) and over GF(   $q^{m_{2}}$   ) is not necessarily linearly solvable over GF(   $q^{m_{1} + m_{2}}$   ); and 4) there exists a class of multicast networks with a set    $T$    of receivers such that the minimum field size    $q_{\mathrm{ min}}$    for a linear solution over GF(   $q_{\mathrm{ min}}$   ) is lower bounded by    $\Theta (\sqrt {|T|})$   , but not every larger field than GF(   $q_{\mathrm{ min}}$   ) suffices to yield a linear solution. The insight brought from this paper is that not only the field size but also the order of subgroups in the multiplicative group of a finite field affects the linear solvability of a multicast network.

Connected through hyperedge HE-1 (induced by source paper "linear network coding effects of varying the message dimension on the set of characteristics"):
  with members:
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "capacity and achievable rate regions for linear network coding over ring alphabets"
    - "on the message dimensions of vector linearly solvable networks"
    - "on base field of linear network coding"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "linear network coding linear index coding and representable discrete polymatroids"

Connected through hyperedge HE-2 (induced by source paper "circular shift linear network coding"):
  with members:
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "a class of non linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"

Connected through hyperedge HE-3 (induced by source paper "linear network coding over rings part i scalar codes and commutative alphabets"):
  with members:
    - "linear network coding over rings part ii vector codes and non commutative alphabets"
    - "a class of non linearly solvable networks"
    - "on base field of linear network coding"
    - "on vector linear solvability of multicast networks"
    - "vector network coding based on subspace codes outperforms scalar linear network coding"
    - "an equivalence between network coding and index coding"

Connected through hyperedge HE-4 (induced by source paper "multicast networks solvable over every finite field"):
  with members:
    - "a class of non linearly solvable networks"
    - "on base field of linear network coding"
    - "scalar linear solvability of matroidal networks associated with representable matroids"

Connected through hyperedge HE-5 (induced by source paper "multicast triangular semilattice network"):
  with members:
    - "representations of the multicast network problem"
    - "on field size and success probability in network coding"

Connected through hyperedge HE-6 (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"
    - "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"
    - "path gain algebraic formulation for the scalar linear network coding problem"
    - "a simple necessary and sufficient condition for the double unicast problem"

Connected through hyperedge HE-7 (induced by source paper "on the dependence of linear coding rates on the characteristic of the finite field"):
  with members:
    - "linear network coding over rings part i scalar codes and commutative alphabets"
    - "capacity and achievable rate regions for linear network coding over ring alphabets"
    - "characteristic dependent linear rank inequalities with applications to network coding"
    - "achievable rate regions for network coding"
    - "on network coding for sum networks"

Connected through hyperedge HE-8 (induced by source paper "on fractional linear network coding solution of multiple unicast networks"):
  with members:
    - "generalized fano and non fano networks"
    - "on vector linear solvability of multicast networks"
    - "on network coding for sum networks"
    - "some results on communicating the sum of sources over a network"

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)