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 "interlinked cycles for index coding generalizing cycles and cliques"):
  Abstract: We consider a graphical approach to index coding. As cycles have been shown to provide coding gain, cycles and cliques (a specific type of overlapping cycles) have been exploited in an existing literature. In this paper, we define a more general form of overlapping cycles, called the interlinked-cycle (   $ \mathsf {IC} $   ) structure, that generalizes cycles and cliques. We propose a scheme, called the interlinked-cycle-cover (   $ \mathsf {ICC} $   ) scheme, that leverages    $ \mathsf {IC} $    structures in digraphs to construct scalar linear index codes. We characterize a class of infinitely many digraphs where our proposed scheme is optimal over all linear and non-linear index codes. Consequently, for this class of digraphs, we indirectly prove that scalar linear index codes are optimal. Furthermore, we show that the    $ \mathsf {ICC} $    scheme can outperform all the existing graph-based schemes (including partial-clique-cover and fractional-local-chromatic number schemes), and a random-coding scheme (namely, composite coding) for certain graphs.

Includes members:
  Member "on critical index coding problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "linear index coding with multiple senders and extension to a cellular network")
  Member "structural properties of index coding capacity using fractional graph theory":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "cooperative multi sender index coding")
  Member "graph theory versus minimum rank for index coding":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "embedded index coding")
  Member "topological interference management through index coding":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the separability of parallel miso broadcast channels under partial csit a degrees of freedom region perspective")
  Member "linear codes are optimal for index coding instances with five or fewer receivers":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the single uniprior index coding problem the single sender case and the multi sender extension")
  Member "critical graphs in index coding":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "embedded index coding")
  Member "on the capacity region for index coding":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "an index coding approach to caching with uncoded cache placement")
  Member "duality codes and the integrality gap bound for index coding":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "cooperative multi sender index coding")

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)