human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "index coding capacity how far can one go with only shannon inequalities"):
  Abstract: An interference alignment perspective is used to identify the simplest instances (minimum possible number of edges in the alignment graph, no more than 2 interfering messages at any destination) of index coding problems where non-Shannon information inequalities are necessary for capacity characterization. In particular, this includes the first known example of a multiple unicast (one destination per message) index coding problem where non-Shannon information inequalities are shown to be necessary. The simplest multiple unicast example has 7 edges in the alignment graph and 11 messages. The simplest multiple groupcast (multiple destinations per message) example has 6 edges in the alignment graph, 6 messages, and 10 receivers. For both the simplest multiple unicast and multiple groupcast instances, the best outer bound based on only Shannon inequalities is $\frac{2}{5}$, which is tightened to $\frac{11}{28}$ by the use of the Zhang-Yeung non-Shannon type information inequality, and the linear capacity is shown to be $\frac{5}{13}$ using the Ingleton inequality. Conversely, identifying the minimal challenging aspects of the index coding problem allows an expansion of the class of solved index coding problems up to (but not including) these instances.

Includes members:
  Member "topological interference management through index coding":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the separability of parallel miso broadcast channels under partial csit a degrees of freedom region perspective")
  Member "on the capacity region for index coding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "an index coding approach to caching with uncoded cache placement")
  Member "interference networks with no csit impact of topology":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "network coherence time matters aligned image sets and the degrees of freedom of interference networks with finite precision csit and perfect csir")
  Member "local graph coloring and index coding":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "embedded index coding")
  Member "an equivalence between network coding and index coding":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "embedded index coding")
  Member "index coding an interference alignment perspective":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "conditional disclosure of secrets a noise and signal alignment approach")
  Member "non shannon information inequalities in four random variables":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on the storage cost of private information retrieval")
  Member "lexicographic products and the power of non linear network coding":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "an index coding approach to caching with uncoded cache placement")

Question: Please tell me which class the source paper 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)