human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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.

Includes members:
  Member "information complexity is computable":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "information complexity of the and function in the two party and multiparty settings")
  Member "secret key generation with one communicator and a one shot converse via hypercontractivity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "communication for generating correlation a unifying survey")
  Member "the communication complexity of achieving sk capacity in a class of pin models":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "wiretap secret key capacity of tree pin")
  Member "achieving sk capacity in the source model when must all terminals talk":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "compressed secret key agreement maximizing multivariate mutual information per bit")
  Member "coded cooperative data exchange for a secret key":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "secret key agreement for hypergraphical sources with limited total discussion")
  Member "on the communication complexity of secret key generation in the multiterminal source model":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "bounds on the communication rate needed to achieve sk capacity in the hypergraphical source model")
  Member "wyner s common information generalizations and a new lossy source coding interpretation":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on exact and infty r enyi common informations")
  Member "outer bounds for multiterminal source coding via a strong data processing inequality":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "information theoretic perspectives on brascamp lieb inequality and its reverse")

Question: Please tell me which class the source paper 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)