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: "on the public communication needed to achieve sk capacity in the multiterminal source model"
  Abstract: The focus of this paper is on the public communication required for generating a maximal-rate secret key (SK) within the multiterminal source model of Csiszar and Narayan. Building on the prior work of Tyagi for the two-terminal scenario, we derive a lower bound on the communication complexity,    $R_{ \text {SK}}$   , defined to be the minimum rate of public communication needed to generate a maximal-rate SK. It is well known that the minimum rate of communication for omniscience, denoted by    $R_{ \text {CO}}$   , is an upper bound on    $R_{ \text {SK}}$   . For the class of pairwise independent network (PIN) models defined on uniform hypergraphs, we show that a certain Type    $ \mathcal {S}$    condition, which is verifiable in polynomial time, guarantees that our lower bound on    $R_{ \text {SK}}$    meets the    $R_{ \text {CO}}$    upper bound. Thus, the PIN models satisfying our condition are    $R_{ \text {SK}}$   -maximal, indicating that the upper bound    $R_{ \text {SK}} \le R_{ \text {CO}}$    holds with equality. This allows us to explicitly evaluate    $R_{ \text {SK}}$    for such PIN models. We also give several examples of PIN models that satisfy our Type    $ \mathcal {S}$    condition. Finally, we prove that for an arbitrary multiterminal source model, a stricter version of our Type    $ \mathcal {S}$    condition implies that communication from all terminals (omnivocality) is needed for establishing an SK of maximum rate. For three-terminal source models, the converse is also true: omnivocality is needed for generating a maximal-rate SK only if the strict Type    $ \mathcal {S}$    condition is satisfied. However, for the source models with four or more terminals, counterexamples exist showing that the converse does not hold in general.

Connected through hyperedge HE-1 (induced by source paper "communication for generating correlation a unifying survey"):
  with members:
    - "secret key capacity for multipleaccess channel with public feedback"
    - "exact exponent for soft covering"
    - "exact channel synthesis"
    - "strong converse using change of measure arguments"
    - "coding for positive rate in the source model key agreement problem"
    - "wiretap channels nonasymptotic fundamental limits"
    - "channel resolvability theorems for general sources and channels"
    - "strong functional representation lemma and applications to coding theorems"

Connected through hyperedge HE-2 (induced by source paper "communication for generating correlation a survey"):
  with members:
    - "secret key capacity for multipleaccess channel with public feedback"
    - "exact soft covering exponent"
    - "on exact and infty r enyi common informations"
    - "exact channel synthesis"
    - "strong converse using change of measure arguments"
    - "coding for positive rate in the source model key agreement problem"
    - "wiretap channels nonasymptotic fundamental limits"
    - "channel resolvability theorems for general sources and channels"

Connected through hyperedge HE-3 (induced by source paper "secret key agreement for hypergraphical sources with limited total discussion"):
  with members:
    - "multiterminal secret key agreement with nearly no discussion"
    - "one shot perfect secret key agreement for finite linear sources"
    - "secrecy capacity under limited discussion rate for minimally connected hypergraphical sources"
    - "upper bounds via lamination on the constrained secrecy capacity of hypergraphical sources"
    - "multiterminal secret key agreement at asymptotically zero discussion rate"
    - "secret key agreement under discussion rate constraints"
    - "compressed secret key agreement maximizing multivariate mutual information per bit"
    - "on the optimality of secret key agreement via omniscience"

Connected through hyperedge HE-4 (induced by source paper "coordination through shared randomness"):
  with members:
    - "communication for generating correlation a survey"
    - "on the optimality of secret key agreement via omniscience"
    - "polar coding for empirical coordination of signals and actions over noisy channels"
    - "secure cascade channel synthesis"
    - "on non interactive simulation of joint distributions"
    - "empirical coordination with two sided state information and correlated source and state"
    - "empirical coordination with channel feedback and strictly causal or causal encoding"
    - "exact common information"

Connected through hyperedge HE-5 (induced by source paper "part i improving computational efficiency of communication for omniscience"):
  with members:
    - "part ii a practical approach for successive omniscience"
    - "improving computational efficiency of communication for omniscience and successive omniscience"
    - "secret key agreement under discussion rate constraints"
    - "a faster algorithm for asymptotic communication for omniscience"
    - "info clustering a mathematical theory for data clustering"
    - "efficient algorithms for the data exchange problem"
    - "coded cooperative data exchange in multihop networks"
    - "perfect omniscience perfect secrecy and steiner tree packing"

Connected through hyperedge HE-6 (induced by source paper "optimal communication rates and combinatorial properties for distributed simulation"):
  with members:
    - "domain compression and its application to randomness optimal distributed goodness of fit"
    - "geometric lower bounds for distributed parameter estimation under communication constraints"
    - "coordination using individually shared randomness"
    - "distributed simulation and distributed inference"
    - "inference under information constraints i lower bounds from chi square contraction"
    - "resource efficient common randomness and secret key schemes"
    - "communication lower bounds for statistical estimation problems via a distributed data processing inequality"
    - "strong coordination over multi hop line networks"

Connected through hyperedge HE-7 (induced by source paper "one shot perfect secret key agreement for finite linear sources"):
  with members:
    - "multiterminal secret key agreement with nearly no discussion"
    - "upper bounds via lamination on the constrained secrecy capacity of hypergraphical sources"
    - "multiterminal secret key agreement at asymptotically zero discussion rate"
    - "secret key agreement under discussion rate constraints"
    - "on the optimality of secret key agreement via omniscience"
    - "secret key generation with limited interaction"
    - "efficient algorithms for the data exchange problem"
    - "coded cooperative data exchange for a secret key"

Connected through hyperedge HE-8 (induced by source paper "optimal communication rates for zero error distributed simulation under blackboard communication protocols"):
  with members:
    - "domain compression and its application to randomness optimal distributed goodness of fit"
    - "coordination using individually shared randomness"
    - "distributed simulation and distributed inference"
    - "inference under information constraints i lower bounds from chi square contraction"
    - "communication lower bounds for statistical estimation problems via a distributed data processing inequality"
    - "strong coordination over multi hop line networks"
    - "strong coordination over a line network"
    - "common information and secret key capacity"

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)