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: "critical graphs in index coding"
  Abstract: In this paper we define critical graphs as minimal graphs that support a given set of rates for the index coding problem, and study them for both the one-shot and asymptotic setups. For the case of equal rates, we find the critical graph with minimum number of edges for both one-shot and asymptotic cases. For the general case of possibly distinct rates, we show that for one-shot and asymptotic linear index coding, as well as asymptotic non-linear index coding, each critical graph is a union of disjoint strongly connected subgraphs (USCS). On the other hand, we identify a non-USCS critical graph for a one-shot non-linear index coding problem. Next, we identify a few graph structures that are critical. We also generalize some of our results to the groupcast problem. In addition, we show that the capacity region of the index coding is additive for union of disjoint graphs.

Connected through hyperedge HE-1 (induced by source paper "embedded index coding"):
  with members:
    - "task based solutions to embedded index coding"
    - "cooperative multi sender index coding"
    - "linear index coding with multiple senders and extension to a cellular network"
    - "on locally decodable index codes"
    - "interlinked cycles for index coding generalizing cycles and cliques"
    - "distributed index coding"
    - "three stories on a two sided coin index coding locally recoverable distributed storage and guessing games on graphs"
    - "improved lower bounds for coded caching"

Connected through hyperedge HE-2 (induced by source paper "linear index coding with multiple senders and extension to a cellular network"):
  with members:
    - "cooperative multi sender index coding"
    - "index coding with erroneous side information"
    - "structural characteristics of two sender index coding"
    - "interlinked cycles for index coding generalizing cycles and cliques"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"
    - "graph theoretic approaches to two sender index coding"
    - "distributed index coding"
    - "three stories on a two sided coin index coding locally recoverable distributed storage and guessing games on graphs"

Connected through hyperedge HE-3 (induced by source paper "unicast uniprior index coding problems minrank and criticality"):
  with members:
    - "on the number of optimal index codes"
    - "on critical index coding problems"
    - "topological interference management through index coding"
    - "index coding an interference alignment perspective"
    - "optimal index codes for a class of multicast networks with receiver side information"
    - "on the index coding problem and its relation to network coding and matroid theory"

Connected through hyperedge HE-4 (induced by source paper "a field size independent code construction for groupcast index coding problems"):
  with members:
    - "interlinked cycles for index coding generalizing cycles and cliques"
    - "a matrix completion approach to linear index coding problem"
    - "optimal index codes for a class of multicast networks with receiver side information"
    - "error correction for index coding with side information"

Connected through hyperedge HE-5 (induced by source paper "on the optimal broadcast rate of the two sender unicast index coding problem with fully participated interactions"):
  with members:
    - "cooperative multi sender index coding"
    - "optimal linear broadcast rates of the two sender unicast index coding problem with fully participated interactions"
    - "on the structure of interlinked cycle structures with interlocked outer cycles"
    - "optimal scalar linear codes for some classes of the two sender groupcast index coding problem"
    - "structural characteristics of two sender index coding"
    - "on the capacity for distributed index coding"
    - "joint latency and cost optimization for erasure coded data center storage"
    - "coded caching with distributed storage"

Connected through hyperedge HE-6 (induced by source paper "optimal linear broadcast rates of the two sender unicast index coding problem with fully participated interactions"):
  with members:
    - "cooperative multi sender index coding"
    - "optimal scalar linear codes for some classes of the two sender groupcast index coding problem"
    - "structural characteristics of two sender index coding"
    - "on the capacity for distributed index coding"
    - "joint latency and cost optimization for erasure coded data center storage"
    - "coded caching with distributed storage"
    - "the single uniprior index coding problem the single sender case and the multi sender extension"
    - "graph theoretic approaches to two sender index coding"

Connected through hyperedge HE-7 (induced by source paper "structural characteristics of two sender index coding"):
  with members:
    - "cooperative multi sender index coding"
    - "optimal linear broadcast rates of the two sender unicast index coding problem with fully participated interactions"
    - "on the optimal broadcast rate of the two sender unicast index coding problem with fully participated interactions"
    - "optimal scalar linear codes for some classes of the two sender groupcast index coding problem"
    - "fundamental limits of decentralized data shuffling"
    - "interlinked cycles for index coding generalizing cycles and cliques"
    - "optimal finite length and asymptotic index codes for five or fewer receivers"
    - "on the capacity for distributed index coding"

Connected through hyperedge HE-8 (induced by source paper "topological interference management with decoded message passing"):
  with members:
    - "on the impact of a single edge on the network coding capacity"
    - "tdma is optimal for all unicast dof region of tim if and only if topology is chordal bipartite"
    - "fractional coloring orthogonal access achieves all unicast capacity dof region of index coding tim if and only if network topology is chordal"
    - "on critical index coding problems"
    - "when does an ensemble of matrices with randomly scaled rows lose rank"
    - "topological interference management with transmitter cooperation"
    - "topological interference management through index coding"
    - "cognitive wyner networks with clustered decoding"

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)