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: "scalar linear solvability of matroidal networks associated with representable matroids"
  Abstract: We study matroidal networks introduced by Dougherty et al., who showed that if a network is scalar-linearly solvable over some finite field, then the network is a matroidal network associated with a representable matroid over a finite field. In this paper, we prove the converse. It follows that a network is scalar-linearly solvable if and only if the network is a matroidal network associated with a representable matroid over a finite field and that determining scalar-linear solvability of a network is equivalent to finding a representable matroid over a finite field and a valid network-matroid mapping. As a consequence, we obtain a correspondence between scalar-linearly solvable networks and representable matroids over finite fields. We note that this result, combined with the construction method due to Dougherty et al., can generate potentially new scalar-linearly solvable networks.

Connected through hyperedge HE-1 (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"
    - "multicast network coding and field sizes"

Connected through hyperedge HE-2 (induced by source paper "scalar solvability of network computation problems and representable matroids"):
  with members:
    - "an equivalence between network coding and index coding"
    - "on network coding for sum networks"
    - "network coding for computing cut set bounds"
    - "on the index coding problem and its relation to network coding and matroid theory"

Connected through hyperedge HE-3 (induced by source paper "generalized fano and non fano networks"):
  with members:
    - "achievable rate regions for network coding"
    - "on network coding for sum networks"
    - "some results on communicating the sum of sources over a network"

Connected through hyperedge HE-4 (induced by source paper "on achievability of an r l fractional linear network code"):
  with members:
    - "on the message dimensions of vector linearly solvable networks"
    - "on vector linear solvability of multicast networks"
    - "linear network coding linear index coding and representable discrete polymatroids"

Connected through hyperedge HE-5 (induced by source paper "on the message dimensions of vector linearly solvable networks"):
  with members:
    - "on vector linear solvability of multicast networks"
    - "on the vector linear solvability of networks and discrete polymatroids"

Connected through hyperedge HE-6 (induced by source paper "optimization based linear network coding for general connections of continuous flows"):
  with members:
    - "a linear network code construction for general integer connections based on the constraint satisfaction problem"
    - "on multi source networks enumeration rate region computation and hierarchy"
    - "the two unicast problem"
    - "decentralized constraint satisfaction"
    - "index coding an interference alignment perspective"
    - "optimal reverse carpooling over wireless networks a distributed optimization approach"
    - "on the index coding problem and its relation to network coding and matroid theory"
    - "minimum cost multicast over coded packet networks"

Connected through hyperedge HE-7 (induced by source paper "a linear network code construction for general integer connections based on the constraint satisfaction problem"):
  with members:
    - "on multi source networks enumeration rate region computation and hierarchy"
    - "the two unicast problem"
    - "precoding based network alignment for three unicast sessions"
    - "achievable rate regions for network coding"
    - "index coding an interference alignment perspective"
    - "computing bounds on network capacity regions as a polytope reconstruction problem"
    - "on the index coding problem and its relation to network coding and matroid theory"

Connected through hyperedge HE-8 (induced by source paper "quasi linear network coding"):
  with members:
    - "linear network coding linear index coding and representable discrete polymatroids"

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)