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: "entropy vectors and network codes"
  Abstract: We consider a network multicast example that relates the solvability of the multicast problem with the existence of an entropy function. As a result, we provide an alternative approach to the proving of the insufficiency of linear (and abelian) network codes and demonstrate the utility of non-Shannon inequalities to tighten outer bounds on network coding capacity regions.

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"
    - "constrained linear representability of polymatroids and algorithms for computing achievability proofs in network coding"
    - "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"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-2 (induced by source paper "mapping the region of entropic vectors with support enumeration information geometry"):
  with members:
    - "entropy region and convolution"
    - "equivalence of two proof techniques for non shannon type inequalities"
    - "finite p groups entropy vectors and the ingleton inequality for nilpotent groups"
    - "non shannon information inequalities in four random variables"
    - "linear rank inequalities on five or more variables"
    - "mission impossible computing the network coding capacity region"
    - "a projection method for derivation of non shannon type information inequalities"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-3 (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"
    - "constrained linear representability of polymatroids and algorithms for computing achievability proofs in network coding"
    - "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"

Connected through hyperedge HE-4 (induced by source paper "characteristic dependent linear rank inequalities with applications to network coding"):
  with members:
    - "achievable rate regions for network coding"
    - "lexicographic products and the power of non linear network coding"
    - "linear rank inequalities on five or more variables"
    - "a projection method for derivation of non shannon type information inequalities"

Connected through hyperedge HE-5 (induced by source paper "capacity results for multicasting nested message sets over combination networks"):
  with members:
    - "is non unique decoding necessary"
    - "network coding capacity regions via entropy functions"
    - "wireless network information flow a deterministic approach"
    - "the single source two terminal network with network coding"

Connected through hyperedge HE-6 (induced by source paper "non shannon information inequalities in four random variables"):
  with members:
    - "a projection method for derivation of non shannon type information inequalities"

Connected through hyperedge HE-7 (induced by source paper "dualities between entropy functions and network codes"):
  with members:
    - "mission impossible computing the network coding capacity region"
    - "group characterizable entropy functions"
    - "minimum cost multicast over coded packet networks"

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)