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: "constrained linear representability of polymatroids and algorithms for computing achievability proofs in network coding"
  Abstract: The constrained linear representability problem (CLRP) for polymatroids determines whether there exists a polymatroid that is linear over a specified field while satisfying a collection of constraints on the rank function. Using a computer to test whether a certain rate vector is achievable with vector linear network codes for a multi-source network coding instance and whether there exists a multi-linear secret sharing scheme achieving a specified information ratio for a given secret sharing instance are shown to be special cases of CLRP. Methods for solving CLRP built from group theoretic techniques for combinatorial generation are developed and described. These techniques form the core of an information theoretic achievability prover, an implementation accompanies the article, and several computational experiments with interesting instances of network coding and secret sharing demonstrating the utility of the method are provided.

Connected through hyperedge HE-1 (induced by source paper "on multi source networks enumeration rate region computation and hierarchy"):
  with members:
    - "explicit polyhedral bounds on network coding rate regions via entropy function region algorithms symmetry and computation"
    - "characterizing the rate region of the 4 3 3 exact repair regenerating codes"
    - "multilevel diversity coding systems rate regions codes computation forbidden minors"
    - "index coding capacity how far can one go with only shannon inequalities"
    - "linear rank inequalities on five or more variables"
    - "mission impossible computing the network coding capacity region"
    - "entropy vectors and network codes"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-2 (induced by source paper "multilevel diversity coding systems rate regions codes computation forbidden minors"):
  with members:
    - "explicit polyhedral bounds on network coding rate regions via entropy function region algorithms symmetry and computation"
    - "characterizing the rate region of the 4 3 3 exact repair regenerating codes"
    - "symmetry in distributed storage systems"
    - "xoring elephants novel erasure codes for big data"
    - "rate region of the 4 3 3 exact repair regenerating codes"
    - "asymmetric multilevel diversity coding and asymmetric gaussian multiple descriptions"
    - "entropy vectors and network codes"

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)