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 with eavesdroppers"
  Abstract: We consider the problem of private information retrieval (PIR) with colluding servers and eavesdroppers (abbreviated as ETPIR). The ETPIR problem is comprised of $K$ messages, $N$ servers where each server stores all $K$ messages, a user who wants to retrieve one of the $K$ messages without revealing the desired message index to any set of $T$ colluding servers, and an eavesdropper who can listen to the queries and answers of any $E$ servers but is prevented from learning any information about the messages. The information theoretic capacity of ETPIR is defined to be the maximum number of desired message symbols retrieved privately per information symbol downloaded. We show that the capacity of ETPIR is $C = \left( 1- \frac{E}{N} \right) \left(1 + \frac{T-E}{N-E} + \cdots + \left( \frac{T-E}{N-E} \right)^{K-1} \right)^{-1}$ when $E < T$, and $C = \left( 1 - \frac{E}{N} \right)$ when $E \geq T$. To achieve the capacity, the servers need to share a common random variable (independent of the messages), and its size must be at least $\frac{E}{N} \cdot \frac{1}{C}$ symbols per message symbol. Otherwise, with less amount of shared common randomness, ETPIR is not feasible and the capacity reduces to zero. #R##N#An interesting observation is that the ETPIR capacity expression takes different forms in two regimes. When $E < T$, the capacity equals the inverse of a sum of a geometric series with $K$ terms and decreases with $K$; this form is typical for capacity expressions of PIR. When $E \geq T$, the capacity does not depend on $K$, a typical form for capacity expressions of SPIR (symmetric PIR, which further requires data-privacy, {\it i.e.,} the user learns no information about other undesired messages); the capacity does not depend on $T$ either. In addition, the ETPIR capacity result includes multiple previous PIR and SPIR capacity results as special cases.

Connected through hyperedge HE-1 (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-2 (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-3 (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"

Connected through hyperedge HE-4 (induced by source paper "on the asymptotic capacity of x secure t private information retrieval with graph based replicated storage"):
  with members:
    - "achievable rate of private function retrieval from mds coded databases"
    - "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"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "private information retrieval through wiretap channel ii privacy meets security"
    - "private information retrieval in graph based replication systems"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "private computation of systematically encoded data with colluding servers"

Connected through hyperedge HE-5 (induced by source paper "on the information leakage in private information retrieval systems"):
  with members:
    - "weakly private information retrieval"
    - "capacity achieving private information retrieval codes from mds coded databases with minimum message size"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "private information retrieval from mds coded data in distributed storage systems"
    - "the capacity of cache aided private information retrieval"
    - "the capacity of private information retrieval from byzantine and colluding databases"
    - "private information retrieval from mds coded data with colluding servers settling a conjecture by freij hollanti et al"

Connected through hyperedge HE-6 (induced by source paper "the capacity of private information retrieval from decentralized uncoded caching databases"):
  with members:
    - "the exact rate memory tradeoff for caching with uncoded prefetching"
    - "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"
    - "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"

Connected through hyperedge HE-7 (induced by source paper "private information retrieval from non replicated databases"):
  with members:
    - "the capacity of private information retrieval from heterogeneous uncoded caching databases"
    - "the exact rate memory tradeoff for caching with uncoded prefetching"
    - "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"
    - "capacity achieving private information retrieval codes with optimal message size and upload cost"

Connected through hyperedge HE-8 (induced by source paper "the capacity of private information retrieval with private side information under storage constraints"):
  with members:
    - "lifting private information retrieval from two to any number of messages"
    - "private information retrieval through wiretap channel ii privacy meets security"
    - "asymmetry hurts private information retrieval under asymmetric traffic constraints"
    - "the asymptotic capacity of private search"
    - "a general private information retrieval scheme for mds coded databases with colluding servers"
    - "multi file private information retrieval from mds coded databases with colluding servers"
    - "the capacity of private information retrieval with partially known private side information"
    - "fundamental limits of cache aided private information retrieval with unknown and uncoded prefetching"

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)