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: "symmetrical multilevel diversity coding and subset entropy inequalities"
  Abstract: Symmetrical multilevel diversity coding (SMDC) is a classical model for coding over distributed storage. In this setting, a simple separate encoding strategy known as superposition coding was shown to be optimal in terms of achieving the minimum sum rate and the entire admissible rate region of the problem. The proofs utilized carefully constructed induction arguments, for which the classical subset entropy inequality played a key role. This paper consists of two parts. In the first part, the existing optimality proofs for classical SMDC are revisited, with a focus on their connections to subset entropy inequalities. Initially, a new sliding-window subset entropy inequality is introduced and then used to establish the optimality of superposition coding for achieving the minimum sum rate under a weaker source-reconstruction requirement. Finally, a subset entropy inequality recently proved by Madiman and Tetali is used to develop a new structural understanding of the work of Yeung and Zhang on the optimality of superposition coding for achieving the entire admissible rate region. Building on the connections between classical SMDC and the subset entropy inequalities developed in the first part, in the second part the optimality of superposition coding is extended to the cases where there is either an additional all-access encoder or an additional secrecy constraint.

Connected through hyperedge HE-1 (induced by source paper "multilevel diversity coding with secure regeneration separate coding achieves the mbr point"):
  with members:
    - "on the tradeoff region of secure exact repair regenerating codes"
    - "minimum storage regenerating codes for all parameters"
    - "general sub packetized access optimal regenerating codes"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "hashtag erasure codes from theory to practice"
    - "toward optimal secure distributed storage systems with exact repair"
    - "the storage repair bandwidth trade off of exact repair linear regenerating codes for the case d k n 1"
    - "layered exact repair regenerating codes via embedded error correction and block designs"

Connected through hyperedge HE-2 (induced by source paper "the explicit coding rate region of symmetric multilevel diversity coding"):
  with members:
    - "distributed multilevel diversity coding"
    - "multilevel diversity coding with regeneration"
    - "multilevel diversity coding systems rate regions codes computation forbidden minors"
    - "secure symmetrical multilevel diversity coding"
    - "asymmetric multilevel diversity coding and asymmetric gaussian multiple descriptions"
    - "information inequalities for joint distributions with interpretations and applications"
    - "approximating the gaussian multiple description rate region under symmetric distortion constraints"

Connected through hyperedge HE-3 (induced by source paper "on the tradeoff region of secure exact repair regenerating codes"):
  with members:
    - "a note on secure minimum storage regenerating codes"
    - "explicit constructions of high rate mds array codes with optimal repair bandwidth"
    - "toward optimal secure distributed storage systems with exact repair"
    - "the storage repair bandwidth trade off of exact repair linear regenerating codes for the case d k n 1"
    - "on secrecy capacity of minimum storage regenerating codes"
    - "layered exact repair regenerating codes via embedded error correction and block designs"
    - "outer bounds for exact repair codes"
    - "optimal locally repairable and secure codes for distributed storage systems"

Connected through hyperedge HE-4 (induced by source paper "broadcast coded modulation multilevel and bit interleaved construction"):
  with members:
    - "multilevel coding schemes for compute and forward with flexible decoding"
    - "signal shaping for bicm at low snr"
    - "asymmetric multilevel diversity coding and asymmetric gaussian multiple descriptions"

Connected through hyperedge HE-5 (induced by source paper "content caching and delivery over heterogeneous wireless networks"):
  with members:
    - "hierarchical coded caching"
    - "on the average performance of caching and coded multicasting with random demands"
    - "cache enabled small cell networks modeling and tradeoffs"
    - "multi level coded caching"
    - "coded caching with nonuniform demands"
    - "asymptotic laws for joint content replication and delivery in wireless networks"
    - "decentralized coded caching attains order optimal memory rate tradeoff"
    - "fundamental limits of caching"

Connected through hyperedge HE-6 (induced by source paper "effect of number of users in multi level coded caching"):
  with members:
    - "coded caching for multi level popularity and access"
    - "caching and coded multicasting multiple groupcast index coding"
    - "hierarchical coded caching"
    - "on the average performance of caching and coded multicasting with random demands"
    - "multi level coded caching"
    - "coded caching with nonuniform demands"
    - "decentralized coded caching attains order optimal memory rate tradeoff"
    - "fundamental limits of caching"

Connected through hyperedge HE-7 (induced by source paper "distributed multilevel diversity coding"):
  with members:
    - "broadcasting correlated vector gaussians"
    - "multilevel diversity coding with regeneration"
    - "secure symmetrical multilevel diversity coding"
    - "asymmetric multilevel diversity coding and asymmetric gaussian multiple descriptions"
    - "approximating the gaussian multiple description rate region under symmetric distortion constraints"
    - "robust distributed source coding"

Connected through hyperedge HE-8 (induced by source paper "coded caching for multi level popularity and access"):
  with members:
    - "wireless device to device caching networks basic principles and system performance"
    - "wireless caching technical misconceptions and business barriers"
    - "caching in wireless multihop device to device networks"
    - "content caching and delivery over heterogeneous wireless networks"
    - "caching aided coded multicasting with multiple random requests"
    - "an efficient coded multicasting scheme preserving the multiplicative caching gain"
    - "finite length analysis of caching aided coded multicasting"
    - "effect of number of users in multi level coded caching"

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)