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 vector linear solvability of networks and discrete polymatroids"
  Abstract: We consider the vector linear solvability of networks over a field $\mathbb{F}_q.$ It is well known that a scalar linear solution over $\mathbb{F}_q$ exists for a network if and only if the network is \textit{matroidal} with respect to a \textit{matroid} representable over $\mathbb{F}_q.$ A \textit{discrete polymatroid} is the multi-set analogue of a matroid. In this paper, a \textit{discrete polymatroidal} network is defined and it is shown that a vector linear solution over a field $\mathbb{F}_q$ exists for a network if and only if the network is discrete polymatroidal with respect to a discrete polymatroid representable over $\mathbb{F}_q.$ An algorithm to construct networks starting from a discrete polymatroid is provided. Every representation over $\mathbb{F}_q$ for the discrete polymatroid, results in a vector linear solution over $\mathbb{F}_q$ for the constructed network. Examples which illustrate the construction algorithm are provided, in which the resulting networks admit vector linear solution but no scalar linear solution over $\mathbb{F}_q.$

Connected through hyperedge HE-1 (induced by source paper "on the message dimensions of vector linearly solvable networks"):
  with members:
    - "on vector linear solvability of multicast networks"
    - "scalar linear solvability of matroidal networks associated with representable matroids"

Connected through hyperedge HE-2 (induced by source paper "linear fractional network coding and representable discrete polymatroids"):
  with members:
    - "achievable rate regions for network coding"
    - "a matroidal framework for network error correcting codes"
    - "computing bounds on network capacity regions as a polytope reconstruction problem"
    - "scalar linear solvability of matroidal networks associated with representable matroids"
    - "on the index coding problem and its relation to network coding and matroid theory"

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)