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: "linear rank inequalities on five or more variables"
  Abstract: Ranks of subspaces of vector spaces satisfy all linear inequ alities satisfied by entropies (including the standard Shannon inequalities) and an additional inequality due to Ingleton. It is known that the Shannon and Ingleton inequalities generate all such linear rank inequalities on up to four variables, but it has been an open question whether additional inequalities hold for the case of five or more variables. Here we give a list of 24 ineq ualities which, together with the Shannon and Ingleton inequalities, generate all linear rank inequalities on five variables. We also give a partial list of linear rank inequalities on six variables and general results which produce such inequalities on an arbitrary number of variabl es; we prove that there are essentially new inequalities at each number of variables beyond four (a result also proved recently by Kinser).

Connected through hyperedge HE-1 (induced by source paper "characteristic dependent linear rank inequalities via complementary vector spaces"):
  with members:
    - "characteristic dependent linear rank inequalities with applications to network coding"
    - "achievable rate regions for network coding"
    - "lexicographic products and the power of non linear network coding"
    - "graph theoretical constructions for graph entropy and network coding based communications"
    - "broadcasting with side information"

Connected through hyperedge HE-2 (induced by source paper "how to find new characteristic dependent linear rank inequalities using binary matrices as a guide"):
  with members:
    - "characteristic dependent linear rank inequalities via complementary vector spaces"
    - "characteristic dependent linear rank inequalities with applications to network coding"
    - "achievable rate regions for network coding"
    - "lexicographic products and the power of non linear network coding"

Connected through hyperedge HE-3 (induced by source paper "one adhesive polymatroids"):
  with members:
    - "entropy region and convolution"

Connected through hyperedge HE-4 (induced by source paper "integrity constraints revisited from exact to approximate implication"):
  with members:
    - "bias in olap queries detection explanation and removal"
    - "the sum product theorem a foundation for learning tractable models"
    - "conditional information inequalities for entropic and almost entropic points"
    - "sum product networks a new deep architecture"

Connected through hyperedge HE-5 (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"
    - "mission impossible computing the network coding capacity region"
    - "entropy vectors and network codes"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-6 (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"
    - "mission impossible computing the network coding capacity region"
    - "a projection method for derivation of non shannon type information inequalities"
    - "entropy vectors and network codes"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-7 (induced by source paper "a numerical study on the wiretap network with a simple network topology"):
  with members:
    - "connecting multiple unicast and network error correction reduction and unachievability"
    - "characterizing the rate region of the 4 3 3 exact repair regenerating codes"
    - "on secure network coding with nonuniform or restricted wiretap sets"
    - "on secure network coding with uniform wiretap sets"
    - "network coding capacity regions via entropy functions"
    - "performance bounds on a wiretap network with arbitrary wiretap sets"

Connected through hyperedge HE-8 (induced by source paper "on group violations of inequalities in five subgroups"):
  with members:
    - "violating the ingleton inequality with finite groups"

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)