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: "the capacity of private information retrieval from byzantine and colluding databases"
  Abstract: We consider the problem of single-round private information retrieval (PIR) from $N$ replicated databases. We consider the case when $B$ databases are outdated (unsynchronized), or even worse, adversarial (Byzantine), and therefore, can return incorrect answers. In the PIR problem with Byzantine databases (BPIR), a user wishes to retrieve a specific message from a set of $M$ messages with zero-error, irrespective of the actions performed by the Byzantine databases. We consider the $T$-privacy constraint in this paper, where any $T$ databases can collude, and exchange the queries submitted by the user. We derive the information-theoretic capacity of this problem, which is the maximum number of \emph{correct symbols} that can be retrieved privately (under the $T$-privacy constraint) for every symbol of the downloaded data. We determine the exact BPIR capacity to be $C=\frac{N-2B}{N}\cdot\frac{1-\frac{T}{N-2B}}{1-(\frac{T}{N-2B})^M}$, if $2B+T < N$. This capacity expression shows that the effect of Byzantine databases on the retrieval rate is equivalent to removing $2B$ databases from the system, with a penalty factor of $\frac{N-2B}{N}$, which signifies that even though the number of databases needed for PIR is effectively $N-2B$, the user still needs to access the entire $N$ databases. The result shows that for the unsynchronized PIR problem, if the user does not have any knowledge about the fraction of the messages that are mis-synchronized, the single-round capacity is the same as the BPIR capacity. Our achievable scheme extends the optimal achievable scheme for the robust PIR (RPIR) problem to correct the \emph{errors} introduced by the Byzantine databases as opposed to \emph{erasures} in the RPIR problem. Our converse proof uses the idea of the cut-set bound in the network coding problem against adversarial nodes.

Connected through hyperedge HE-1 (induced by source paper "gcsa codes with noise alignment for secure coded multi party batch matrix multiplication"):
  with members:
    - "codedprivateml a fast and privacy preserving framework for distributed machine learning"
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "distributed and private coded matrix computation with flexible communication load"
    - "secure coded multi party computation for massive matrix operations"
    - "on the asymptotic capacity of x secure t private information retrieval with graph based replicated storage"
    - "private secure coded computation"
    - "coded matrix multiplication on a group based model"
    - "cross subspace alignment codes for coded distributed batch computation"

Connected through hyperedge HE-2 (induced by source paper "latent variable private information retrieval"):
  with members:
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "breaking the mds pir capacity barrier via joint storage coding"
    - "robust private information retrieval from coded systems with byzantine and colluding servers"
    - "the capacity of private information retrieval from uncoded storage constrained databases"
    - "an mds pir capacity achieving protocol for distributed storage using non mds linear codes"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "cross subspace alignment and the asymptotic capacity of x secure t private information retrieval"

Connected through hyperedge HE-3 (induced by source paper "the capacity of single server weakly private information retrieval"):
  with members:
    - "x secure t private information retrieval from mds coded storage with byzantine and unresponsive servers"
    - "on the information leakage in private information retrieval systems"
    - "weakly private information retrieval"
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "asymmetry helps improved private information retrieval protocols for distributed storage"
    - "lifting private information retrieval from two to any number of messages"
    - "an operational approach to information leakage"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"

Connected through hyperedge HE-4 (induced by source paper "towards the capacity of private information retrieval from coded and colluding servers"):
  with members:
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "lifting private information retrieval from two to any number of messages"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "on the capacity of single server multi message private information retrieval with side information"
    - "capacity of single server single message private information retrieval with coded side information"
    - "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al"
    - "secure symmetric private information retrieval from colluding databases with adversaries"
    - "t private information retrieval schemes using transitive codes"

Connected through hyperedge HE-5 (induced by source paper "private information retrieval over gaussian mac"):
  with members:
    - "noisy private information retrieval on separability of channel coding and information retrieval"
    - "asymptotically optimal scheduling for compute and forward"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of private information retrieval with partially known private side information"
    - "gaussian multiple access via compute and forward"
    - "the necessity of scheduling in compute and forward"
    - "the capacity of robust private information retrieval with colluding databases"
    - "the capacity of symmetric private information retrieval"

Connected through hyperedge HE-6 (induced by source paper "quantum private information retrieval from mds coded and colluding servers"):
  with members:
    - "on the capacity of private information retrieval from coded colluding and adversarial servers"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al"
    - "the capacity of robust private information retrieval with colluding databases"
    - "the capacity of symmetric private information retrieval"
    - "private information retrieval from coded databases with colluding servers"
    - "the capacity of private information retrieval from coded databases"
    - "symmetric private information retrieval for mds coded distributed storage"

Connected through hyperedge HE-7 (induced by source paper "private set intersection a multi message symmetric private information retrieval perspective"):
  with members:
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "on the storage cost of private information retrieval"
    - "on the information leakage in private information retrieval systems"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "improved storage for efficient private information retrieval"
    - "staircase pir universally robust private information retrieval"
    - "noisy private information retrieval on separability of channel coding and information retrieval"
    - "the capacity of private information retrieval from uncoded storage constrained databases"

Connected through hyperedge HE-8 (induced by source paper "the capacity of private information retrieval from heterogeneous uncoded caching databases"):
  with members:
    - "staircase pir universally robust private information retrieval"
    - "the capacity of private information retrieval from uncoded storage constrained databases"
    - "private information retrieval from a cellular network with caching at the edge"
    - "private information retrieval from coded storage systems with colluding byzantine and unresponsive servers"
    - "cross subspace alignment and the asymptotic capacity of x secure t private information retrieval"
    - "coded caching for heterogeneous systems an optimization perspective"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "converse for multi server single message pir with side information"

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)