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: "capacity theorems for distributed index coding"
  Abstract: In index coding, a server broadcasts multiple messages to their respective receivers, each with some side information that can be utilized to reduce the amount of communication from the server. Distributed index coding is an extension of index coding in which the messages are now broadcast from multiple servers, each storing different subsets of the messages. In this paper, the optimal tradeoff among the message rates and the server broadcast rates, which is defined formally as the capacity region, is studied for a general distributed index coding problem. Inner and outer bounds on the capacity region are established that have matching sum-rates for all 218 non-isomorphic four-message problems with equal link capacities. The proposed inner bound is built on a distributed composite coding scheme that outperforms the existing schemes by incorporating more flexible decoding configurations and fractional rate allocations into two-stage composite coding, a scheme that was originally introduced for centralized index coding. The proposed outer bound is built on the polymatroidal axioms of entropy, as well as functional dependences such as the $\rm{fd}$-separation introduced by the multi-server nature of the problem. This outer bound utilizes general groupings of servers with different levels of granularity, which allows a natural tradeoff between computational complexity and tightness of the bound, and includes and improves upon all existing outer bounds for distributed index coding. Specific features of the proposed inner and outer bounds are demonstrated through concrete examples with four or five messages.

Connected through hyperedge HE-1 (induced by source paper "secure decentralized pliable index coding"):
  with members:
    - "task based solutions to embedded index coding"
    - "embedded index coding"
    - "private pliable index coding"
    - "on pliable index coding"
    - "improved lower bounds for pliable index coding using absent receivers"
    - "decentralized pliable index coding"
    - "optimal rate characterisation for pliable index coding using absent receivers"
    - "tight information theoretic converse results for some pliable index coding problems"

Connected through hyperedge HE-2 (induced by source paper "generalized alignment chain improved converse results for index coding"):
  with members:
    - "cooperative multi sender index coding"
    - "on the capacity region for secure index coding"
    - "on the capacity for distributed index coding"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"
    - "topological interference management through index coding"
    - "on the capacity region for index coding"
    - "index coding capacity how far can one go with only shannon inequalities"
    - "index coding an interference alignment perspective"

Connected through hyperedge HE-3 (induced by source paper "decentralized pliable index coding"):
  with members:
    - "tight information theoretic converse results for some pliable index coding problems"
    - "mds matrices over small fields a proof of the gm mds conjecture"
    - "the benefit of being flexible in distributed computation"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"
    - "a polynomial time algorithm for pliable index coding"
    - "efficient algorithms for the data exchange problem"
    - "fundamental limits of caching in wireless d2d networks"
    - "coded cooperative data exchange in multihop networks"

Connected through hyperedge HE-4 (induced by source paper "fundamental limits of decentralized data shuffling"):
  with members:
    - "coded distributed computing with heterogeneous function assignments"
    - "cascaded coded distributed computing on heterogeneous networks"
    - "embedded index coding"
    - "the exact rate memory tradeoff for caching with uncoded prefetching"
    - "leveraging coding techniques for speeding up distributed computing"
    - "speeding up distributed machine learning using codes"
    - "storage computation and communication a fundamental tradeoff in distributed computing"
    - "coded computing for distributed graph analytics"

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)