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 "improved lower bounds for coded caching"):
  Abstract: Content delivery networks often employ caching to reduce transmission rates from the central server to the end users. Recently, the technique of coded caching was introduced whereby coding in the caches and coded transmission signals from the central server are considered. Prior results in this area demonstrate that carefully designing the placement of content in the caches and designing appropriate coded delivery signals from the server allow for a system where the delivery rates can be significantly smaller than conventional schemes. However, matching upper and lower bounds on the transmission rate have not yet been obtained. In this work, we derive tighter lower bounds on the coded caching rate than were known previously. We demonstrate that this problem can equivalently be posed as a combinatorial problem of optimally labeling the leaves of a directed tree. Our proposed labeling algorithm allows for significantly improved lower bounds on the coded caching rate. Furthermore, we study certain structural properties of our algorithm that allow us to analytically quantify improvements on the rate lower bound for general values of the problem parameters. This allows us to obtain a multiplicative gap of at most four between the achievable rate and our lower bound.

Includes members:
  Member "asynchronous coded caching":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "decentralized asynchronous coded caching design and performance analysis in fog radio access networks")
  Member "low subpacketization schemes for coded caching":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "fundamental limits of caching in heterogeneous networks with uncoded prefetching")
  Member "coded caching with low subpacketization levels":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "symmetric uncoded caching schemes with low subpacketization levels")
  Member "critical database size for effective caching":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an index coding approach to caching with uncoded cache placement")
  Member "fundamental limits of caching with secure delivery":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on coded caching with private demands")
  Member "a note on the fundamental limits of coded caching":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "fundamental limits of coded caching the memory rate pair k 1 1 k 1 k 1")
  Member "coded caching for delay sensitive content":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "decentralized asynchronous coded caching design and performance analysis in fog radio access networks")
  Member "hierarchical coded caching":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "subexponential and linear subpacketization coded caching via line graphs and projective geometry")

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)