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 "private information retrieval in graph based replication systems"):
  Abstract: In a Private Information Retrieval (PIR) protocol, a user can download a file from a database without revealing the identity of the file to each individual server. A PIR protocol is called $t$-private if the identity of the file remains concealed even if $t$ of the servers collude. Graph based replication is a simple technique, which is prevalent in both theory and practice, for achieving erasure robustness in storage systems. In this technique each file is replicated on two or more storage servers, giving rise to a (hyper-)graph structure. In this paper we study private information retrieval protocols in graph based replication systems. The main interest of this work is maximizing the parameter $t$, and in particular, understanding the structure of the colluding sets which emerge in a given graph. Our main contribution is a $2$-replication scheme which guarantees perfect privacy from acyclic sets in the graph, and guarantees partial-privacy in the presence of cycles. Furthermore, by providing an upper bound, it is shown that the PIR rate of this scheme is at most a factor of two from its optimal value for an important family of graphs. Lastly, we extend our results to larger replication factors and to graph-based coding, which is a similar technique with smaller storage overhead and larger PIR rate.

Includes members:
  Member "private information retrieval from mds coded data in distributed storage systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "latent variable private information retrieval")
  Member "private computation of systematically encoded data with colluding servers":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the capacity of private monomial computation")
  Member "codes for graph erasures":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "double and triple node erasure correcting codes over graphs")
  Member "private information retrieval from storage constrained databases coded caching meets pir":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "private set intersection a multi message symmetric private information retrieval perspective")
  Member "multi message private information retrieval capacity results and near optimal schemes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "private set intersection a multi message symmetric private information retrieval perspective")
  Member "codes for erasures over directed graphs":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "double and triple node erasure correcting codes over graphs")
  Member "pir array codes with optimal virtual server rate":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "array codes for functional pir and batch codes")
  Member "multiround private information retrieval capacity and storage overhead":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "latent variable private information retrieval")

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)