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 "exact byzantine consensus in directed graphs"):
  Abstract: For synchronous point-to-point n-node networks of undirected links, it has been previously shown that, to achieve consensus in presence of up to f Byzantine faults, the following two conditions are together necessary and sufficient: (i) n ≥ 3f + 1 and (ii) network connectivity greater than 2f . The first condition, that is, n ≥ 3f + 1, is known to be necessary for directed graphs as well. On the other hand, the second condition on connectivity is not necessary for directed graphs. So far, tight necessary and sufficient condition for Byzantine consensus in directed graphs has not been developed. This paper presents tight necessary and sufficient condition for achieving Byzantine consensus in synchronous networks that can be represented as directed graphs. We provide a constructive proof of sufficiency by presenting a new Byzantine consensus algorithm for directed graphs. Further work is needed to improve the message overhead of Byzantine consensus in directed graphs.

Includes members:
  Member "iterative byzantine vector consensus in incomplete graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "determining r and r s robustness of digraphs using mixed integer linear programming")
  Member "consensus of multi agent networks in the presence of adversaries using only local information":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "determining r and r s robustness of digraphs using mixed integer linear programming")
  Member "iterative approximate byzantine consensus under a generalized fault model":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "determining r and r s robustness of digraphs using mixed integer linear programming")
  Member "iterative approximate byzantine consensus in arbitrary directed graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "grand challenges of resilience autonomous system resilience through design and runtime measures")
  Member "robustness of complex networks with implications for consensus and contagion":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the strength of connectivity of random graphs induced by pairwise key predistribution schemes implications on security and reliability of heterogeneous sensor networks")
  Member "perfectly secure message transmission revisited":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "effects of topology knowledge and relay depth on asynchronous consensus")

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.DC(Distributed, Parallel, and Cluster Computing)