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 essentially conditional information inequalities"
  Abstract: In 1997, Z.Zhang and R.W.Yeung found the first example of a conditional information inequality in four variables that is not "Shannon-type". This linear inequality for entropies is called conditional (or constraint) since it holds only under condition that some linear equations are satisfied for the involved entropies. Later, the same authors and other researchers discovered several unconditional information inequalities that do not follow from Shannon's inequalities for entropy. #R##N#In this paper we show that some non Shannon-type conditional inequalities are "essentially" conditional, i.e., they cannot be extended to any unconditional inequality. We prove one new essentially conditional information inequality for Shannon's entropy and discuss conditional information inequalities for Kolmogorov complexity.

Connected through hyperedge HE-1 (induced by source paper "partition symmetrical entropy functions"):
  with members:
    - "conditional information inequalities for entropic and almost entropic points"
    - "on the non robustness of essentially conditional information inequalities"
    - "entropy functions and determinant inequalities"
    - "non shannon information inequalities in four random variables"
    - "average entropy functions"
    - "information rates of minimal non matroid related access structures"
    - "a projection method for derivation of non shannon type information inequalities"
    - "dualities between entropy functions and network codes"

Connected through hyperedge HE-2 (induced by source paper "conditional information inequalities and combinatorial applications"):
  with members:
    - "conditional information inequalities for entropic and almost entropic points"

Connected through hyperedge HE-3 (induced by source paper "entropy region and convolution"):
  with members:
    - "equivalence of two proof techniques for non shannon type inequalities"
    - "conditional information inequalities for entropic and almost entropic points"
    - "on the ingleton violations in finite groups"
    - "on the non robustness of essentially conditional information inequalities"
    - "non shannon information inequalities in four random variables"
    - "graph theoretical constructions for graph entropy and network coding based communications"

Connected through hyperedge HE-4 (induced by source paper "conditional information inequalities for entropic and almost entropic points"):
  with members:
    - "on the non robustness of essentially conditional information inequalities"
    - "conditional and unconditional information inequalities an algebraic example"
    - "improved upper bounds for the information rates of the secret sharing schemes induced by the vamos matroid"

Connected through hyperedge HE-5 (induced by source paper "equivalence of two proof techniques for non shannon type inequalities"):
  with members:
    - "a projection method for derivation of non shannon type information inequalities"

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)